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2018年  第35卷  第4期

第十七届全国核结构大会(NCNS2018)专刊
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插页(第十七届全国核结构大会(NCNS2018)专刊)
2018, 35(4): 1-5.
摘要:
大会报告
基于HIAF的物理研究(英文)
周小红
2018, 35(4): 339-349. doi: 10.11804/NuclPhysRev.35.04.339
摘要:
在2010年,中国科学院近代物理研究所向国家发展和改革委员会建议了重大科技基础设施——强流重离子加速器装置(High Intensity Heavy-ion Accelerator Facility,简称HIAF)。经过一系列评估和论证,HIAF于2015年12月被国家发展改革委立项。HIAF建设地址位于广东省惠州市,计划于2018年年底正式开工建造。HIAF由超导直线加速器、同步增强器、高能放射性束流线、储存环谱仪以及若干实验测量装置构成,总投资约为25亿人民币。依托HIAF,我们将拓展核素存在版图,研发先进实验技术和方法,开展前沿物理研究;同时,开展重离子束应用研究,服务国家经济社会发展。简要介绍拟建的加速器系统、实验测量装置以及相关的物理研究计划。


The Institute of Modern Physics, Chinese Academy of Sciences, proposed the Major National Science and Technology Infrastructure Facility named as High Intensity Heavy-ion Accelerator Facility (HIAF) in 2010. After a series of assessments charged by the National Development and Reform Commission of China, HIAF was officially approved by China government in December, 2015. HIAF will be constructed in Huizhou, Guangdong Province, and the groundbreaking ceremony of construction is scheduled around the end in the year of 2018. HIAF is composed of a superconducting Linac, a booster ring, a high-energy radioactive beam line, a storage ring, and a number of experiment setups. The total investment of HIAF is about 2.5 billion Chinese Yuan. The major goals for HIAF are to explore the hitherto unknown territories in nuclear chart, to approach the experimental limits, to open new domains of physics researches in experiments, and to develop new ideas and heavy-ion applications beneficial to the societies. In this paper, the accelerator complex of HIAF is briefly introduced, and the experimental setups and associated physics research program are presented.
探索原子核结构的对称性主导无芯壳模型计算(英文)
J. P. Draayer, K. D. Launey, A. C. Dreyfuss, T. Dytrych, G. H. Sargsyan, R. B. Baker, D. Kekejian
2018, 35(4): 350-355. doi: 10.11804/NuclPhysRev.35.04.350
摘要:
揭示隐藏于复杂中的简单性相关的特殊对称性是核理论研究的"圣杯",回顾了其探索历史和当前利用高性能计算设备及应用数学方法进行的从头计算无芯壳模型研究。作为对称性主导无芯壳模型(SA-NCSM)计算的实例,通过对轻核和中重质量区核素的能谱计算及与实验结果的比较,清晰地展示了群论在揭示这些当今最先进计算手段得到结果中所起的重要作用。作为SA-NCSM的有趣推广,从头引入形变的新方法提供了解决所有以探索原子核的集体性质为目的的从头计算方法都要面对的模型空间维数呈组合数增长的处理手段,并且该方法使本理论能用于描述重核及奇特核。


Exploiting special symmetries to unmask simplicity within complexity that remains the "holy grail" of nuclear theory is re-examined within the framework of its historical context and current ab initio nocore shell-model approaches that exploit high-performance computing resources and applied math methodologies. Examples using the symmetry-adapted no-core shell model (SA-NCSM) that clearly demonstrate the important role group theory plays in this evolving story will serve to elucidate current state-of-the-art developments in this arena, including comparisons of excitation spectra and transition rates with experimental results for light and medium-mass nuclei. An interesting extension of the SA-NCSM, an advanced method with a novel twist that enables one to incorporate deformation from the onset, will be proffered as a further way to manage the combinatorial growth of model-space dimensionalities that remains the nemesis of all theories that seek an ab initio understanding of nuclear collectivity, and in so doing extends applicability of the theory to heavier and more exotic nuclear species.
核子与核力决定的核形状(英文)
T. Otsuka, Y. Tsunoda, T. Togashi, N. Shimizu, T. Abe
2018, 35(4): 356-361. doi: 10.11804/NuclPhysRev.35.04.356
摘要:
讨论了最近提出的作为量子多体系统重要潜在机制之一的量子自组织,原子核无疑是最好的实例。由于原子核内核子的单粒子和集体运动共存,它们的相互制约决定了核结构。集体模式因其驱动力,如使椭球形变的四极力及其阻力达到平衡形成,而单粒子能量就是产生阻力的一种根源。当存在较大单粒子能隙时,相关的集体运动更易受到阻碍。因此,一般认为,单粒子运动和集体运动是相互对抗的"天敌"。然而,由于核力的多样和复杂性,单极相互作用使单粒子能量改变也能减小其对集体运动的阻碍而加强集体模式,该现象将通过Zr同位素实例加以说明。这就导致了量子自组织的产生:单粒子能量由两种量子液体(质子和中子)和控制阻力的单极相互作用自组织。于是,不同于朗道费米液体理论的结论,原子核不一定像填装了自由核子的刚性瓶。Ⅱ型壳演化即是包含跨准幻壳能隙激发的直观实例。在重核中,量子自组织因其轨道和核子数更多而更为重要。


We discuss the quantum self-organization introduced recently as one of the major underlying mechanisms of the quantum many-body systems. Atomic nuclei are actually a good example, because two types of the motion of nucleons, single-particle states and collective modes, interplay in determining their structure. The collective mode appears as a consequence of the balance between the effect of the mode-driving force (e.g., quadrupole force for the ellipsoidal deformation) and the resistance power against it. The single-particle energies are one of the sources to bring about such resistance power:a coherent collective motion is more hindered by larger spacings between relevant single particle states. Thus, the single-particle state and the collective mode are "enemies" against each other in the usual understanding. However, the nuclear forces are rich and complicated enough so as to enhance relevant collective mode by reducing the resistance power by changing single-particle energies for each eigenstate through monopole interactions. This will be demonstrated with the concrete example taken from Zr isotopes. In this way, the quantum self-organization occurs:single-particle energies can be self-organized by (i) two quantum liquids, e.g., protons and neutrons, (ii) monopole interaction (to control resistance). Thus, atomic nuclei are not necessarily like simple rigid vases containing almost free nucleons, in contrast to the naïve Fermi liquid picture a la Landau. Type Ⅱ shell evolution is considered to be a simple visible case involving excitations across a (sub)magic gap. The quantum self-organization becomes more important in heavier nuclei where the number of active orbits and the number of active nucleons are larger.
基于RIBLL2的奇特原子核电荷改变截面实验测量进展
赵建伟, 孙保华
2018, 35(4): 362-368. doi: 10.11804/NuclPhysRev.35.04.362
摘要:
电荷半径是原子核最基本的物理观测量之一,反映了原子核内的质子分布。精确的电荷半径测量是研究奇特原子核结构的重要手段。在相对论能区,通过高精度测量原子核的电荷改变截面来提取电荷半径是近年来发展起来的一种新方法,这种方法尤其适于探索产额很低的奇特原子核。自2013年以来,北京航空航天大学-中国科学院近代物理研究所课题组基于兰州第二条次级束流线(RIBLL2),提出并建成原子核电荷改变截面测量平台,研制了相关的TOF-△E探测器系统,开展了轻核区二十余个原子核的电荷改变截面的实验测量工作。介绍了实验平台研制情况、初步结果以及下一步计划。


Charge radius is one of the most fundamental observables of atomic nuclei, reflecting the proton distributions in nuclei. Their precision measurements have severed as a key tool to study nuclear structure. Recently, a novel method to deduce charge radii has been developed via precise measurements of charge-changing cross sections(CCCS) of exotic nuclei at relativistic energies. This method is in particular suitable for investigation of exotic nuclei with low production yield. In 2013, we proposed to make such measurements for exotic nuclei lighter than oxygen based on the RIBLL2 beam line. Since then, the TOF-△E detector system for particleidentification(PID) and the CCCS platform have been constructed, continuously optimized and tested. So far CCCS measurements on a carbon target have been performed for more than 20 isotopes. In this contribution, we will introduce the progress of detector development, the progress in PID, and our experimental progress and plan.
正负电子湮灭过程的核子激发态N*产生(英文)
邹冰松, 代建平
2018, 35(4): 369-373. doi: 10.11804/NuclPhysRev.35.04.369
摘要:
目前,正负电子湮灭过程的核子激发态N*产生的实验数据主要来自于粲偶素能区。粲偶素衰变到核子激发态过程类似于其类时电磁形状因子测量过程,正反粲夸克短程湮灭提供了近乎于点源的胶子强子化过程。与γNeNπN反应互补,这一新的N*产生源具有同位旋和低自旋筛选的优势。综述了正负电子湮灭过程的核子激发态N*产生的实验情况和相关的唯象进展,同时讨论未来发展的一些新方向,如正负电子湮灭过程的核子激发态N*产物的一些新来源等。


Up to now, the N* production from e+e- annihilations has been studied only around charmonium region. Charmonium decays to N*s are analogous to (time-like) EM form factors in that the charm quark annihilation provides a nearly pointlike (ggg) current. Complementary to other sources, such as πN, eN and γN reactions, this new source for N* spectroscopy has a few advantages, such as an isospin filter and a low spin filter. The experimental results on N* from e+e- annihilations and their phenomenological implications are reviewed. Possible new sources on N* production from e+e- annihilations are discussed.
△共振态的硬过程及软过程产生截面在同位旋不对称核体系下的介质修正研究
李庆峰, 李祝霞
2018, 35(4): 374-381. doi: 10.11804/NuclPhysRev.35.04.374
摘要:
基于一个相对论的BUU方法,研究了△共振态的硬过程(NN → N△)及软过程(Nπ → △)产生截面及△的衰变宽度在同位旋不对称核体系下的介质修正(包括能量、密度、特别是同位旋依赖的)效应。发现类似于核子-核子弹性散射过程,△硬过程产生截面的密度修正及在同位旋不对称体系下的质量劈裂效应都比较强烈,而△的软过程产生截面及衰变宽度的密度依赖和质量劈裂效应都相对较弱。对硬过程,其截面最大的劈裂效应出现在△++和△-的产生道中,而对软过程,△++和△-的产生道中的劈裂效应则最小且与硬过程的相反。


Within the framework of the relativistic BUU approach, we investigate the effect of energy-, density-, and especially isospin-dependent medium modifications on △ production cross sections of both hard (NN → N△) and soft (Nπ → △) processes as well as its decay width. It is found that, similar to the nucleon-nucleon elastic scattering, the △ production cross section from the hard process is strongly dependent on both density and the mass splitting effect in the isospin asymmetric matter. While the dependence is relative weak from the soft one, and so is the △ decay width. Further, in the hard (soft) process, the splitting effect is largest (smallest) and of opposite sign for the △++ and △- states.
基于不稳定核基本性质测量的原子核结构研究
白世伟, 杨晓菲
2018, 35(4): 382-389. doi: 10.11804/NuclPhysRev.35.04.382
摘要:
精密激光谱学是通过测量核素原子光谱的超精细结构和同位素移位来研究原子核的基本性质,为原子核自旋、磁矩、电四极矩及电荷均方根半径的确定提供了一种模型独立的测量方式。这些原子核基本性质的测量,能够比较精确地描述原子核微观结构的演化。近年来,随着放射性束流装置的发展,产生远离β-稳定线的丰中子/丰质子核素成为可能,也进一步促进了高分辨和高灵敏度的激光谱技术更加广泛的应用。简单介绍了基于放射性核素超精细结构的激光谱学测量原理,并通过几个经典实例来回顾近年来激光谱学在原子核奇特结构研究领域的独特贡献。主要通过分析几个重要核区原子核的基本性质,结合大尺度壳模型、ab initio理论、密度泛函理论等,来探索丰中子核中展现出来的一些新的奇特现象,如晕结构、幻数演化、形状共存等。


High-precision laser spectroscopy technique is used to determine the ground state properties of exotic nuclei by probing its electronic hyperfine structure and isotope shift. It provides a model-independent measurement of nuclear spin, magnetic moment, electric quadrupole moment and charge radii. These nuclear parameters can be used to investigate the nuclear structure evolution and the nuclear shapes. With the development of accelerators and isotope separators, exotic isotopes far from β stability became accessible experimentally, which enhanced the capability of the laser spectroscopy technique being applied in the field of nuclear physics. A brief introduction to experimental principle is given, followed by a review of several typical examples for the experimental investigations in the different regions of nuclear chart. This aims to demonstrate the contributions of ground state properties measurement by using laser spectroscopy technique to the nuclear structure study of exotic isotopes. This discussion involves several different nuclear theory models in order to interpret the exotic phenomena observed in the neutron-rich isotopes, such as halo structure, shell evolution, shape coexistence and so on.
协变密度泛函理论中的张量力效应
梁豪兆, 申时行, 王之恒
2018, 35(4): 390-400. doi: 10.11804/NuclPhysRev.35.04.390
摘要:
张量力是核子-核子相互作用的重要成分,被认为是理解奇特原子核中壳结构演化规律的关键要素。然而,目前对于核介质中的张量力及其效应的定量认识,仍存在很多亟待解决的关键问题。着重梳理了在原子核密度泛函理论框架下,研究有效相互作用中的张量力成分以及相应的张量力效应的相关工作,重点包括:基于相对论Hartree-Fock理论,以同位素链中的质子幻数壳演化为例,定量提取与分析其中的张量力效应;以及基于第一性原理的相对论Brueckner-Hartree-Fock理论,以中子滴单粒子能谱中的自旋-轨道劈裂演化为例,提出与张量力效应相关联的"准实验数据"。最后,展望原子核密度泛函理论今后可能的发展策略。


Tensor force is one of the most important components of the nucleon-nucleon interaction. It plays a critical role in understanding the shell evolution in exotic nuclei. However, there are still several puzzles concerning the tensor force and its effects in the nuclear medium. In this paper, we mainly focus on the studies of tensor force in the effective interactions and its effects in finite nuclear systems within the scheme of nuclear density functional theory. In particular, we highlight the recent developments, including the quantitative analysis of tensor effects in the relativistic Hartree-Fock theory by taking the evolution of proton magic shells in the isotopic chains as an example, and the "meta-data" of tensor effects provided by the ab initio relativistic Brueckner-Hartree-Fock theory by taking the evolution of spin-orbit splitting in the single-particle spectra of neutron drops as an example. Perspectives are focused on the possible strategies for the future developments of nuclear density functional theory.
原子核单粒子共振态的研究进展
郭建友, 刘泉, 牛中明, 衡太骅, 王章银, 仕敏, 曹雪能
2018, 35(4): 401-408. doi: 10.11804/NuclPhysRev.35.04.401
摘要:
共振是自然界普遍存在的有趣现象。在核物理领域,存在许多奇特现象,共振在其中扮演着重要角色。介绍了近期发展的RMF-CSM、RMF-CGF和RMF-CMR方法及其对原子核单粒子共振态的研究。给出了120Sn,31Ne等核的单粒子共振态的能量和宽度及其随质量数、形变的变化规律,分析了19C,31Ne和39Mg等核的晕形成的物理机制和在N=20附近能级反转的原因。特别是新发展的RMF-CMR方法,在描述稳定核和奇特核方面都取得了成功,支持Zr同位素存在巨晕的预言。


Resonance is an interesting phenomenon in nature. In nuclear physics, resonance plays an important role in the formation of many exotic phenomena. This paper introduces the recently developed RMF-CSM, RMFCGF, and RMF-CMR methods and their researches on nuclear single-particle resonances. The energies and widths of the single-particle resonant states in 120Sn and 31Ne and their evolution to mass number and deformation are given. In addition, the physical mechanism of the halo formation in 19C, 31Ne and 39Mg and the cause of energy level inversion near N=20 are analyzed. In particular, the newly developed RMF-CMR approach has been successful in describing stable and exotic nuclei and supports the prediction that Zr isotopes exist in a giant halo.
Skyrme型N∧相互作用下超越平均场模型的∧超核研究
陈超锋, 周先荣, 崔继伟, 李文影
2018, 35(4): 409-419. doi: 10.11804/NuclPhysRev.35.04.409
摘要:
使用超越平均场Skyrme-Hartree-Fock(SHF)模型对9Be,∧∧10Be,13C和21Ne进行计算,采用SLy4参数组的Skyrme力作为NN相互作用力,采用最近提出的SLL4参数组的Skyrme力作为N∧相互作用。计算中包含了超子的自旋-轨道力以再现单粒子态的自旋-轨道能级分裂和不交叉效应,并采用BCS方法处理对力。讨论了不同组态超核的相关性质,包含12C⊗∧[000]1/2+12C⊗∧[110]1/2-12C⊗∧[101]3/2-12C⊗∧[101]1/2-8Be⊗∧[000]1/2+8Be⊗∧[110]1/2-8Be⊗∧[101]3/2-8Be⊗∧[101]1/2-。计算了9Be,13C的低激发能谱并与实验值进行了比较。结果表明,采用的超越平均场SHF模型能很好地再现∧超子占据s轨道的正宇称能级。对8Be的计算结果表明该模型可以很好地再现8Be的集团结构,可以得出9Be的真实超核态能级和9Be类似态。对9Be及13C的计算均再现了自旋双重态(3/2+,5/2+),但是得到的双重态能级差依然与实验值有出入。此外,对于上述超核体系均在∧超子占据∧[000]1/2+轨道时产生了收缩效应。还对21Ne进行了计算并和超越平均场RMF模型计算结果进行比较,发现两者计算结果虽有细节上的出入,但是结果基本一致。


The beyond-mean-field Skyrme-Hartree-Fock approach is adopted to investigate the properties of 9Be, ∧∧10Be, 13C and 21Ne. The nucleon-nucleon (NN) interaction SLy4 and the nucleon-hyperon(N∧) interaction Skyrme-type SLL4 are used. The spin-orbit force of hyperon is included to show the spin-orbit splitting and non-crossing effect with BCS method to deal with pairing force. Energies of different configurations, such as 12C⊗∧[000]1/2+, 12C⊗∧[110]1/2-, 12C⊗∧[101]3/2-, 12C⊗∧[101]1/2-, 8Be⊗∧[000]1/2+, 8Be⊗∧[110]1/2-, 8 Be⊗∧[101]3/2- and 8Be⊗∧[101]1/2- are given and used to study the effects of ∧ occupying different orbitals. The calculated energy spectra, including both positive-and negative-parity levels, are given and compared to the experimental data. The observed positive-parity spin-doublet (3/2+,5/2+) are successfully reproduced, but the energy difference needs further investigation. The two well known band structures corresponding to the genuine hypernuclear states and the 9Be-analog states are also obtained and compared with the observed ones. The shrinkage effect of ∧ occupying ∧[000]1/2+ is investigated through the density distributions of nuclear core. And finally the calculation results of 21Ne are given and compared with the results of RMF method, which are nearly the same but with differences in some details.
中重核中单粒子与集体运动的竞争效应(英文)
亓冲
2018, 35(4): 420-428. doi: 10.11804/NuclPhysRev.35.04.420
摘要:
从原子核的电四极跃迁强度B(E2)中可以提取出原子核集体性和单粒子性质竞争的重要信息,其中一个重要的观测量是B(E2;41+ →21+)/B(E2;21+g.s.)的比值(B4/2)。B4/2一般要大于1,而且对于原子核转动和振动,我们应有B4/2=1.4和2.0,但球形半满壳核一般会有不一样的性质。这些核的性质主要受对关联效应影响。介绍了几种超出我们一般认识的奇特衰变性质。Te同位素的基态带有鲜明的振动特性,但114Te的E2跃迁性质却更符合转动性。这些性质可以通过大规模壳模型计算来描述。对于填充j=9/2轨道的半满壳核,它们的4+和6+显示出很强的辛若数部分守恒性质。这种奇特的部分守恒可以被解析证明。而且我们的计算表明辛若数部分守恒对相关的E2跃迁影响很大。对于N=90附近具有量子相变行为的核素,其B4/2也会也表现出相似的奇异特性。


The E2 transition strength, B(E2), gives particularly precise information on the competition between the collective and single-particle degree of freedom. An important observable to study the development of collectivity is the B(E2; 41+ →21+)/B(E2; 21+g.s.) (B4/2). The B4/2 ratio is usually greater than unity. These values are 1.4 and 2.0 for an ideal rotor and a vibrator, respectively. Whereas the seniority scheme usually leads to different behaviours. In this contribution I will show examples that contrast with our standard understanding. The yrast spectra of Te isotopes show a vibrational-like equally-spaced pattern but the few known E2 transitions show anomalous rotational-like behaviour, which cannot be reproduced by collective models. Large-scale shell model calculations reproduce well the equally-spaced spectra of those isotopes as well as the constant behaviour of the B(E2) values in 114Te. For nuclei involving protons or neutrons in j=9/2 orbitals, the partial conservation of seniority can lead to dramatic changes to the E2 decay pattern that have never been seen before. The B4/2 ratios in quantum phase transitional nuclei around N=90 also show a similar exotic feature.
投影后变分新方法对原子核低激发态的描述
高早春, 陈永寿
2018, 35(4): 429-438. doi: 10.11804/NuclPhysRev.35.04.429
摘要:
对我们近几年发展的投影后变分(VAP)新方法做了比较全面的介绍。首先介绍了对JTA投影波函数的变分计算,指出自旋投影是获得很好壳模型近似的关键因素。基于这一结论,将VAP简化,并推广应用于所有晕态。即采用基于HF真空态的自旋投影波函数,通过变分,得到了与壳模型结果非常接近的VAP晕态能量及相应波函数。为进一步描述非晕态,依据柯西交错定理,可靠地对VAP低激发态能量之和进行最小化。如果这些能量值之和达到极小值,则与该极小对应的各态也就被确定下来。通过VAP计算,所得原子核非晕态能量与壳模型精确值非常接近。最近,在VAP计算中加入宇称投影,在psd模型空间中计算了12C的正负宇称晕态,同样得到了比较好的壳模型近似。值得指出的是,该方法具有普适性,可广泛应用于不同量子多体体系的低激发态研究中。


We present a comprehensive introduction in our newly developed Variation After Projection (VAP) calculations for the low-lying nuclear states. First, we discussed the VAP calculation with a fully JTA-projected wavefunction for the ground state in even-even nucleus. This leads to the conclusion that the spin projection plays a key role in obtaining a good shell model approximation. With this conclusion, we simplified the VAP with a time-odd Hartree-Fock mean field, on which only spin projection is required. Due to the time reversal symmetry breaking, this VAP now can be applied to the yrast states in all kinds of nuclei. It turns out that our VAP yrast energies as well as the corresponding VAP wavefunctions are very close the exact ones from the full shell model calculations. Such good approximation encourages us to extend the VAP calculations further to the non-yrast nuclear states. For this purpose, we proposed a new algorithm in our VAP based on the Cauchy's interlacing theorem. This theorem ensures that the sum of the calculated lowest projected energies with the same quantum numbers can be safely minimized. After minimization, all the calculated states can be determined simultaneously. Again, all the calculated VAP energies are very close to the exact shell model results. Recently, we have added the parity projection into the VAP, and the yrast states with both parity in 12C have been calculated in the psd model space. This time, we still have good shell model approximation for both parity states. Finally, we should point out that the present algorithm should be applicable to the low-lying states in different quantum many-body systems.
分会报告
缺中子核素101In低位同核异能态的首次观测
刘君豪, 张玉虎, 邢元明, 徐星, 帅鹏, 王猛, 涂小林, 张鹏, 曾奇, 陈瑞九, 陈相成, 付超义, 李宏福, 孙铭泽, 颜鑫亮, 高丙水, 杨建成, 原有进, Yu. A. Litvinov, K. Blaum, S. Naimi, 周小红, 徐瑚珊
2018, 35(4): 439-444. doi: 10.11804/NuclPhysRev.35.04.439
摘要:
在兰州重离子加速器冷却储存环(HIRFL-CSR)上,用初级束流112Sn35+轰击了靶厚约10 mm的Be靶,产生了101In的基态和低位同核异能态。这些实验产生的碎片每25 s经过放射性束流线RIBLL2的筛选后注入到实验环CSRe中,利用飞行时间探测器测量离子在CSRe中的回旋周期。在此次实验中,磁场晃动会导致离子在环内的循环周期发生改变,传统的离子鉴别方法难以完成大部分离子的鉴别。通过发展和运用单次注入离子鉴别这一新的离子鉴别方法,有效地消除了磁场晃动对于离子鉴别的影响,并清楚地将101In基态和低位同核异能态鉴别出来,从而首次在实验中观测到101In的低位同核异能态。实验得到的激发能与理论外推值在112 keV的误差范围内一致,其低位同核异能态的寿命大于200 μs。


Isochronous mass spectrometry has been applied to 112Sn projectile fragments at the HIRFL-CSR facility in Lanzhou. To produce short-lived nuclei of interest, we used projectile fragmentation of 112Sn35+ primary beams in a~10 mm thick 9Be production target. The fragments were selected and analyzed by RIBLL2 and injected into the experimental storage ring(CSRe) every 25 s. To measure revolution times of stored ions,we used a Time-Of-Flight detector installed in CSRe. A new particle identification method was developed to distinguish ions on the measured revolution time spectrum for each injection. Based on this method, the shifts of the revolution time due to instable dipole magnet fields can be corrected and the ground and isomeric states of 101In have been well-resolved. The measured excitation energy is consistent with the theoretical value in the error range of 112 keV. The lifetime of the isomeric states of 101In is more than 200 μs.
利用强流ISOL束研究20Na的奇异衰变模式(英文)
王友宝, 苏俊, 韩治宇, 唐兵, 崔保群, 葛涛, 吕银龙, 陈志强, 郭冰, 李鑫悦, 李云居, 李志宏, 连钢, 马田丽, 马鹰俊, 谌阳平, 苏毅, 王春光, 吴弘毅, 颜胜权, 曾晟, 郑云, 周超, 党永乐, 付光永, 何阳帆, 刘伏龙, 吴笛, 张天爵, 柳卫平, BRIF合作组
2018, 35(4): 445-449. doi: 10.11804/NuclPhysRev.35.04.445
摘要:
北京放射性离子束装置(Beijing Radioactive Ion-beam Facility,BRIF)是基于在线同位素分离器技术的国家大科学平台。在BRIF装置上利用100 MeV的质子束轰击较厚的反应靶产生放射性核素;反应产物经离子源电离和在线分离,在线同位素分离段可引出100~300 keV的放射性核束,质量分辨率达20 000。在基金委科学仪器基础研究专项的支持下,建成了多用途的衰变实验终端,包括束流传输管道、通用靶室、带电粒子和γ探测器、集成电子学和数据获取系统等。利用100 MeV的质子束轰击MgO厚靶产生了流强高达1×105 pps的20Na放射性核束。通过高效率地同时测量β,γ和α,第一次直接观测到20Na非常稀有的β-γ-α衰变模式。


Beijing Radioactive Ion-beam Facility(BRIF) has been commissioned as the national Radioactive Ion Beam(RIB) facility based on the Isotope Separator On Line(ISOL) technique since 2016. At BRIF, the radioactive nuclides are produced by the proton beam of 100 MeV bombarding a thick-target, the reaction products diffusing out of the target are ionized by an ion source and delivered to the online mass separator. In addition to the post-accelerated radioactive ion beams, BRIF can provide low-energy ISOL beams of 100 to 300 keV with a mass resolution of 20 000. A general-purpose decay station has been built including the ISOL beam transport line, a conventional reaction chamber, charge-particle and γ detectors with integrated electronics and data acquisition system. An intense 20Na ISOL beam up to 1×105 pps was produced by using the 100 MeV proton beam bombarding a MgO thick target. With high-efficiency measurements of β, γ and α simultaneously, very rare β-γ-α decay mode in 20Na has been directly observed for the first time in the present work.
利用18O(6Li,d)22Ne反应研究22Ne Eα=470 keV共振态的性质
苏毅, 曾晟, 李云居, 王友宝, 李志宏, 郭冰, 苏俊, 颜胜权, 樊启文, 甘林, 韩治宇, 李鑫悦, 连钢, 刘建成, 马田丽, 谌阳平, 周勇, 柳卫平
2018, 35(4): 450-454. doi: 10.11804/NuclPhysRev.35.04.450
摘要:
慢速中子俘获过程(s过程)是合成比铁重元素的重要途径之一。22Ne(α,n)25Mg反应是大质量AGB星中s过程主要的中子源,其中的22Ne主要通过14N(α,γ)18F(β+18O(α,γ)22Ne反应链合成。该反应链中关键反应18O(α,γ)22Ne在天体物理感兴趣能区的截面非常低,其天体反应率主要来自于22Ne α分离阈附近低能共振态的贡献,但目前相关能级的共振参数严重缺失。在HI-13串列加速器的Q3D磁谱仪上,通过测量18O(6Li,d)22Ne反应的角分布,利用DWBA分析确定了22Ne分离阈附近共振能级Eα=470 keV的自旋宇称为0+,为后续计算18O(α,γ)22Ne的天体反应率打下了基础。


About a half of the abundances of elements heavier than iron comes from the so-called slowneutron capture process (s-process) in Asymptotic Giant Branch (AGB) stars, with the 22Ne(α, n)25Mg reaction as one of the main neutron sources. In the beginning phase of AGB thermal pulse, 22Ne is produced by the 14N(α, γ)18F(β+)18O(α, γ)22Ne reaction sequence, in which the 18O(α, γ)22Ne reaction plays a key role. While the reaction rate of the 18O(α, γ)22Ne is mainly affected by several resonant states lying closely to the α threshold in 22Ne, up to now, the relevant 22Ne parameters are fragmentary in the energy region corresponding to the typical temperatures of s-process. The direct measurement of the 18O(α, γ)22Ne reaction rate is extremely difficult due to the very low cross section. In this work, we investigated the 22Ne resonant states via the 18O(6Li, d)22Ne reaction at the Beijing HI-13 tandem accelerator of China Institute of Atomic Energy. Based on the DWBA analysis, preliminary results showed that the spin-parity of 22Ne Eα=470 keV resonant states was assigned as 0+, which would make contributions to subsequent calculation for the reaction rate of the 18O(α, γ)22Ne.
理论预测超重核274-291Cn和266-287Ds的衰变模式
赵天亮, 包小军
2018, 35(4): 455-462. doi: 10.11804/NuclPhysRev.35.04.455
摘要:
自发裂变和α衰变是影响超重核稳定性的两个主要因素。为了探索270Ds附近的长寿命的超重核,系统地计算了电荷数在104 ≤ Z ≤ 112范围内的α衰变与自发裂变之间的竞争。采用推广的液滴模型和唯象的解析公式计算了α衰变半衰期。基于包括壳效应和同位旋效应的WKB近似方法估算了相同超重核的自发裂变半衰期,进而预测了未知超重核274-276,279Cn与267-269Ds的衰变模式。


The stability of superheavy nuclei (SHN) is controlled mainly by spontaneous fission and α decay processes. To investigate whether long lived SHN could really exist around 270Ds, the competition between α decay and spontaneous fission in the region 104 ≤ Z ≤ 112 are studied systematically. The α decay half-lives are investigated by employing a generalized liquid drop model (GLDM) and phenomenological analytical formula. Calculations of spontaneous fission half-lives for the same SHN are carried out based on the Wenzel-Kramers-Brillouin(WKB) approximation with both the shell effect and the isospin effect included. Decay modes are predicted for the unknown nuclei 274-276,279Cn and 267-269Ds.
基于结团形成模型系统研究Z=82,N=126闭壳附近原子核的α衰变
邓军刚, 程俊皓, 陈玖龙, 李小华
2018, 35(4): 463-469. doi: 10.11804/NuclPhysRev.35.04.463
摘要:
基于结团形成模型(cluster-formation model,CFM)系统地研究了质子数Z=82,中子数N=126闭壳附近的α衰变母核的α衰变预形成因子Pα。计算结果表明:基于结团形成模型计算得到的Pα线性地依赖于价质子(空穴)Np和价中子(空穴)Nn的乘积。这与前期工作[SUN X D,et al.Phys Rev C,2016, 94 (2):024338;DENG J G,et al.Phys Rev C,2017, 96 (2):024318]得到的结论是一致的,其中,Pα是唯象的且模型依赖的,从α衰变半衰期的理论值和实验值的比值中提取。结合前期工作可以得到这样的结论:对于Z=82,N=126闭壳附近的α衰变母核,其PαNpNn呈线性关系,且价质子-价中子相互作用在α结团预形成中起了很重要的作用。


In the present work, the α decay preformation factors Pα are systematically studied within the cluster-formation model (CFM) for nuclei around Z=82, N=126 closed shells. The calculations show that the Pα calculated by CFM is linearly dependent on the product of valance protons (holes) and valance neutrons (holes) Np Nn. It is consistent with our previous works[SUN X D, et al. Phys Rev C, 2016, 94 (2):024338; DENG J G, et al. Phys Rev C, 2017, 96 (2):024318], which Pα are model-dependent and extracted from the ratios of calculated α decay half-lives to experimental data. Combining with our previous works, we confirm that the Pα is linearly dependent on the NpNn for nuclei around Z=82, N=126 shell closures. In addition, the valance proton-neutron interaction plays a key role in the α preformation.
基于两势方法系统研究壳结构对原子核α衰变的影响
陈玖龙, 程俊皓, 邓军刚, 李小华
2018, 35(4): 470-474. doi: 10.11804/NuclPhysRev.35.04.470
摘要:
基于两势方法(two-potential-approach,TPA)系统研究了偶-偶核、奇-A核和奇-奇核α衰变半衰期。为了考虑原子核的壳结构的影响而导致的实验半衰期与计算结果之间的偏差,引入了与α结团形成概率相关的禁戒因子和预形成因子。结合前期相关工作[X.D.Sun et al.,Phys.Rev.C 93,034316(2016);X.D.Sun et al.,Phys.Rev.C 95,014319(2017);X.D.Sun et al.,Phys.Rev.C 95,044303(2017)],考虑到壳效应对α粒子预形成的影响,通过分析α衰变半衰期的实验数据,拟合得到了α粒子预形成因子/禁戒因子修正公式的参数,得到了α衰变预形成因子/禁戒因子的计算结果,证实了壳效应及质子-中子相互作用在α结团形成过程中起着重要的作用,离壳越近预形成概率越小离壳越远预形成概率越大。


In the present work, the α decay half-lives are systematically studied within the two-potentialapproach for even-even nuclei, odd-A nuclei and odd-odd nuclei. To describe the deviations between experimental half-lives and calculated results due to the nuclear shell structure, α preformation factor and hindrance factor related with α cluster preformation probability are introduced. It is consistent with our previous works[X. D. Sun et al., Phys. Rev. C 93, 034316 (2016); X. D. Sun et al., Phys. Rev. C 95, 014319 (2017); X. D. Sun et al., Phys. Rev. C 95, 044303 (2017)]. Considering the shell effect on the preformation of α and by analyzing the experimental data of the α decay half-lives, the parameters of the α preformation factor/hindrance factor correction formula are obtained. we confirm that the shell effect and the proton-neutron correlation play key roles in the α preformation where the preformation probability near the shell is less than the preformation probability far from the shell.
重自共轭原子核中α凝聚体物理性质的理论研究(英文)
柏栋, 任中洲
2018, 35(4): 475-481. doi: 10.11804/NuclPhysRev.35.04.475
摘要:
原子核多体系统中可以存在一类被称为α凝聚体的奇异物理态。该奇异态可以被视为玻色-爱因斯坦凝聚在原子核物理中的推广。一般认为,α凝聚体不仅可以存在于12C中,也可以存在于诸如16O,20Ne,24Mg,28Si等质量更重的自共轭原子核中。重自共轭原子核中的α凝聚体的物理性质是核结构理论重要的研究课题,相关理论计算可以为实验研究提供有益参考。主要介绍了该研究方向的基本理论框架,包括Tohsaki-Horiuchi-Schuck-Röpke波函数方法、Yamada-Schuck模型,以及近期提出的半解析近似方法。还讨论了α粒子间四体相互作用对α凝聚体物理性质的影响,并对α凝聚体破裂和一维α凝聚体等可能的研究方向做了简要论述。


α condensates are exotic states in nuclear many-body systems, and can be viewed as the generalization of the Bose-Einstein condensate in nuclear physics. It is widely believed that, α condensates exist not only in 12C, but also in heavier self-conjugate nuclei such as 16O, 20Ne, 24Mg, 28Si, etc. It is important to understand the physical properties of these α condensates in heavy self-conjugate nuclei from the theoretical perspective, and the theoretical results could be a useful reference for the experimental studies. This work reviews the basic frameworks to study α condensates, including the Tohsaki-Horiuchi-Schuck-Röpke wave function, the Yamada-Schuck model, and the recently proposed semi-analytic approximation. The impacts of the four-body interactions of α particles on the physical properties of α condensates are reported. The breakup of α condensates and the one-dimensional α condensates are discussed briefly as the possible future directions in this field.
推广的相互作用玻色子模型中基于对偶代数结构的量子相变研究(英文)
A. Jalili Majarshin, H. Sabri, 潘峰
2018, 35(4): 482-486. doi: 10.11804/NuclPhysRev.35.04.482
摘要:
本工作将相互作用玻色子模型推广为包含f-和p-玻色子的情形。利用仿射型代数方法,通过对偶代数结构数值计算了多分量玻色型对力问题。利用对偶关系解析构建了与哈密顿量及其基底相联系的,由幺正的粒子数守恒和非粒子数守恒算符构成的准旋代数。在经该模型对106-116Cd偶偶核素实验能谱拟合的基础上,计算了基态和低激发态中各种玻色子占有率,准γ带中相邻能级摇摆等几个能特征该区域核素形状相变的序参量。从而展示了这些中重质量核从振动到γ-不稳定运动的形状相变行为。


An extension of the original interacting boson model to the multi-level case including negative parity f-and p-bosons is made. An affinealgebraic approach is applied to solve the multi-level pairing problem numerically via the dual algebraic structure. The duality relation is explicitly used to construct the number-conserving unitary and number-nonconserving quasi-spin algebra, related with the Hamiltonian and the corresponding bases. After fitting to the experimental level energies of even-even 106-116Cd, several order parameters to signify the shape (phase) transition, such as occupation numbers of the bosons in the ground and a few lowest excited states, the level energy staggering in the (quasi)-γ band, are calculated to demonstrate the shape (phase) transitional behavior of these medium mass transitional nuclei.
有限玻色子系统中的激发态量子相变
董文婷, 姜鹤, 王晓霞, 张宇
2018, 35(4): 487-492. doi: 10.11804/NuclPhysRev.35.04.487
摘要:
为了探讨原子核系统中存在激发态量子相变的可能性,在相互作用玻色子模型框架下对有限玻色子系统中的激发态量子相变现象进行唯象分析,特别是针对角动量和有限N效应如何影响U(5)-SU(3)和SU(3)-O(6)过渡区中的激发态量子相变行为进行了系统研究。结果表明,低角动量振动谱中的激发态量子相变特征在现实玻色子数情况下可以很好地保持,但随着角动量增加相变特征逐渐消失。


In this work, a phenomenological analysis of the excited-state quantum phase transitions (ESQPTs) in the finite-N boson system has been carried out within the interacting boson model in order to reveal the possibility of finding ESQPTs in nuclear systems. Particularly, the angular momentum and finite-N effects on the ESQPTs in the U(5)-SU(3) and SU(3)-O(6) transitional regions have been systematically investigated. The results indicate that the main features of ESQPTs can be well preserved even at a realistic boson number for small angular momentum but will gradually disappear as the angular momentum increases.
球形平均场加四极-四极和对力模型在单j壳内的量子相交叉行为(英文)
李博, 潘峰, 丁小雪, J. P. Draayer
2018, 35(4): 493-498. doi: 10.11804/NuclPhysRev.35.04.493
摘要:
介绍了单j壳的球形平均场加几何四极-四极和标准对力模型的量子相交叉行为。在单j=15/2的壳内,计算了随模型控制参数变化的多个物理量如低激发能级、激发态间重叠积分、低激发态间的B(E2)比值和电四极矩比值。结果显示,在类转动到对激发相的演化中,多个物理量在交叉区存在非常明显的变化,如B(E2;41 → 21)/B(E2;21 → 0g),B(E2;42 → 21)/B(E2;21 → 0g)等,并且这些变化在核子数达到半满壳时尤为显著。此外,尽管当j较小时,由几何四极-四极相互作用得到的低激发能级不满足转动谱规律,但当j值足够大时,这些低激发能级满足转动谱规律。


The analysis of the quantum phase crossover behavior in the spherical shell model mean-field plus the geometric quadrupole-quadrupole (Q·Q) and standard pairing model within a single-j shell is reported. Several quantities, such as low-lying excitation energies, the overlaps of excited states, ratios of some B(E2) and electric quadrupole moments of some low-lying states as functions of the control parameter of the model in a j=15/2 shell are calculated. The results show that there are noticeable changes in the crossover region of the rotational-like to the pair-excitation phase transition, such as B(E2;41 → 21)/B(E2;21 → 0g) and B(E2;42 → 21)/B(E2;21 → 0g), especially in the half-filling case. Though the low-lying excitation energies generated from the geometric quadrupole-quadrupole interaction not satisfy the pattern of a rotational spectrum when j is small, these energies follow the pattern of a rotational spectrum when j is sufficiently large.
奇质量核的超越平均场玻色子费米子模型描述(英文)
K. Nomura
2018, 35(4): 499-504. doi: 10.11804/NuclPhysRev.35.04.499
摘要:
对近年发展起来的一个基于核密度泛函理论和粒子核心耦合方案来计算中重质量奇A核谱性质的理论方法进行了评述。该方法首先在平均场层面通过选择合适的能量密度泛函和对力结构来自洽求解偶偶核心的势能曲面、球单粒子能级和奇粒子占有率,进一步将得到的结果作为微观输入来建立相互作用玻色子费米子模型哈密顿量,其中三个与粒子核心耦合强度相关的参数需要通过拟合一些特定奇质量核低激发谱数据来最终确定。通过对轴形变奇质量Eu同位素的低激发能谱和电磁跃迁几率的系统研究来说明该模型方法的有效性。另外,还讨论了该方法在描述轴形变奇质量核形状相变以及描述丰中子奇质量Ba同位素中八极关联方面的应用。


A recently developed method for calculating spectroscopic properties of medium-mass and heavy atomic nuclei with an odd number of nucleons is reviewed, that is based on the framework of nuclear energy density functional theory and the particle-core coupling scheme. The deformation energy surface of the eveneven core, as well as the spherical single-particle energies and occupation probabilities of the odd particle(s), are obtained by a self-consistent mean-field calculation with the choice of the energy density functional and pairing properties. These quantities are then used as a microscopic input to build the interacting bosonfermion Hamiltonian. Only three strength parameters for the particle-core coupling are specifically adjusted to selected data for the low-lying states of a particular odd-mass nucleus. The method is illustrated in a systematic study of low-energy excitation spectra and electromagnetic transition rates of axially-deformed odd-mass Eu isotopes. Recent applications of the method, to the calculations of the signatures of shapes phase transitions in axially-deformed odd-mass nuclei, octupole correlations in neutron-rich odd-mass Ba isotopes, are discussed.
基于相对论平均场有效对力的中子物质BCS-BEC渡越
孙保元, 郭安良, 钱庄
2018, 35(4): 505-510. doi: 10.11804/NuclPhysRev.35.04.505
摘要:
基于核物质的相对论Hartree-Bogoliubov(RHB)理论,采用相对论平均场单玻色子交换形式的有效对相互作用,研究了不同对力强度下双中子关联及其中的BCS-BEC渡越现象。通过引入有效衰减因子χ调节对力强度,定量分析费米面处中子对能隙和单粒子动能比值Fn/eFn及无量纲参数1/(kFna)随费米动量kFn的演化行为,发现双中子对在χ=0.51时进入BCS-BEC渡越区域,在χ=0.67时可达到幺正极限。进而分析了中子对能隙、中子对波函数及相干长度等物理量在相应临界点处的特征,并给出渡越时双中子短程关联概率的定量判据。发现当配对中子处于平均中子间距以内的概率Pdn)≃0.80时,双中子对从纯BCS耦合过渡到BCS-BEC渡越区域。


Based on the relativistic Hartree-Bogoliubov theory in nuclear matter, the dineutron correlations and the crossover from Bardeen-Cooper-Schrieffer (BCS) region of neutron Cooper pairs to Bose-Einstein condensation (BEC) are investigated with the one-boson-exchange type of pairing force generated from the relativistic mean field (RMF) model. By introducing an effective factor χ in the RMF effective pairing interaction, the density dependence of the ratios between neutron pairing gap at Fermi surface and neutron Fermi kinetic energy Fn/eFn and the dimensionless parameter 1/(kFna) are analyzed quantitatively. Then the criteria where dineutron correlations exactly reach the threshold of BCS-BEC crossover or unitary limit are determined to be χ=0.51 or 0.67, respectively. In addition, features of neutron pairing gap, Cooper pair wave function and dineutron coherence length are illustrated, and the value of the probability for partner neutrons correlated within the average inter-neutron distance, namely P (dn) ≃0.80, is obtained as a criterion of BCS-BEC crossover.
SD配对壳模型对质量数A~130区原子核的形状渡越研究(英文)
丁小雪, 罗延安, 何秉承, 潘峰, 张宇, 李博, J. P. Draayer
2018, 35(4): 511-517. doi: 10.11804/NuclPhysRev.35.04.511
摘要:
利用SD配对壳模型研究了质量数A~130区原子核的低激发态性质。为了减少参数,模型采用了等强度对力,取质子和中子对力强度等同近似,而非同类核子间的四极-四极相互作用强度取为同类核子间四极-四极相互作用强度的两倍。计算结果显示,模型的振动-转动和振动-γ不稳定运动的形状渡越特征与相互作用玻色子模型对应的形状相变特征基本吻合,从而说明SD配对壳模型是壳模型的一种合理近似。


The SD-pair shell model is applied to analyze the evolution of low-lying states of even-even nuclei in A~130 mass region. In the model, the pairing and the quadrupole-quadrupole interactions are taken into account. The results show that there are clear signatures of the crossover from vibrational to rotational or from vibrational to the γ-soft shape phase.
标准对力模型的新迭代方法(英文)
关鑫, 艾昕
2018, 35(4): 518-522. doi: 10.11804/NuclPhysRev.35.04.518
摘要:
建立了一种求解标准对力模型的新迭代方法。该方法基于标准对力模型的多项式方案,为球形和形变系统提供了方便的初始值预测。特别是对于大尺寸系统,该方法将求解k对多项式的系统方程式简化为分步求解1对多项式系统的迭代过程,并通过快速Newton-Raphson以及Monte Carlo采样算法逐步提供初始值预测。通过扩展,本算法还可用于解决Gaudin型量子多体问题,例如考虑超过100条轨道、50对的大尺寸系统,以及超形变核、核裂变的研究中。


A new iterative approach for solving the standard pairing problem is established based on polynomial approach. It provides an efficient way to derive the particle-number conserved pairing wave functions for both spherical and deformed systems, especially for large-size systems. The method reduces the complexity of solving a system for k-pairs polynomial equations into a system for one-pair polynomial equation, which can be efficiently implemented by the Newton-Raphson algorithm with a Monte Carlo sampling procedure for providing the initial guesses step by step. The present algorithm can also be used to solve a large class of Gaudin type quantum many-body problems as a more than 100 orbitals and 50 pairs system such as super-heavy nuclei and nuclear fission.
相对论平均场理论对∧,Ξ和∑超核的研究(英文)
刘子鑫, 夏铖君, 孙亭亭
2018, 35(4): 523-530. doi: 10.11804/NuclPhysRev.35.04.523
摘要:
基于相对论平均场理论,系统地研究了单∧,Ξ和∑超核,超子-核子相互作用通过拟合实验数据以及参照之前理论工作来确定。以16O为核芯,通过加入不同类型超子(∧,Ξ0,-和∑+,0,-),比较了超子的平均势场和单粒子能级,并研究了对核芯的杂质效应。整体上看,∧和Ξ0超子在大块性质上类似;Ξ0超子平均势场最浅;库仑相互作用对于带电超子Ξ-,∑+和∑-非常重要。作为杂质,原子核中加入超子会使整个体系更束缚。然而,不同超子对原子核的半径有不同效应。此外,讨论了ωYY张量耦合,发现其对超子的能级劈裂有显著影响,甚至导致Ξ超子中出现能级反转现象。


Single ∧, Ξ, and ∑ hypernuclei are systematically studied within the framework of relativistic mean-field (RMF) model with YN interactions being constrained according to the experimental data and previous theoretical efforts. By adding a hyperon to 16O, the mean-field potentials and single-particle levels for hyperons (∧, Ξ0,-, and ∑+,0,-) are compared and the impurity effects on the nuclear core are examined. In general, the ∧ and ∑0 hyperons show similar behaviors in bulk properties since both of them are electroneutral and with similar coupling constants; Ξ0 hyperon owns the shallowest mean-field potential well; and Coulomb interactions play vital roles in the charged Ξ-, ∑-, and ∑+ hyperons. As an impurity, the intruded single-hyperon makes the nuclear system more bound in most cases due to the attractive NY interaction. However, very different effects on the nucleon radii are observed for different hyperons. Besides, the effects of the ωYY tensor couplings on the spin-orbit splitting are discussed, and remarkable influences are found which even change the level ordering of Ξ hyperon.
∧超核中单粒子谱的自旋及赝自旋对称性研究(英文)
吕万里, 孙亭亭
2018, 35(4): 531-536. doi: 10.11804/NuclPhysRev.35.04.531
摘要:
原子核中单粒子谱的自旋和赝自旋对称性对核结构的研究具有重要意义。本文基于相对论平均场理论,以132Sn,133Sn,及2∧134Sn为例,研究了∧超核中单∧谱和单中子谱的自旋和赝自旋对称性。研究发现,单∧谱的自旋对称性保持得相当好,与实验观测一致;而其赝自旋对称性只是近似保持,与核子谱的情况类似。此外,还研究了∧超子对中子谱的杂质效应,发现∧超子使中子谱的自旋对称性变差,赝自旋对称性变好。


Spin and pseudospin symmetries in the single-particle spectra of atomic nuclei are of great significance for the study of nuclear structure. In this work, taking 132Sn, 133Sn, and 2∧134Sn as examples, the spin and pseudospin symmetries in ∧ hypernuclei are studied by using the relativistic mean-field model. For the single-∧ spectra, results show that the spin symmetry maintains well while the pseudospin symmetry is approximately conserved. Besides, as impurities, the ∧ hyperons worsen the spin symmetry of single-neutron spectra while improve the pseudospin symmetry.
壳模型中中心力不确定度和跨壳激发效应的初步研究(英文)
袁岑溪, 杜天雪
2018, 35(4): 537-542. doi: 10.11804/NuclPhysRev.35.04.537
摘要:
原子核壳模型不确定度虽然很重要,但目前为止还研究较少。本工作对壳模型中的核力不确定度和模型空间效应的展开了初步研究。核力中最重要的部分是中心力,中心力也被认为包含了最多的重整化效应。如果考虑半满壳核以及只考虑中心力的强度变化,对能谱的理论描述的变化只与中心力的C10(T,S=1,0)和C11(T,S=1,1)部分相关。中心力变化时,自旋轨道耦合力和张量力都保持裸核力的强度不变。由此得到的简单核力的一套强度参数可以对Sn和Pb同位素及N=82和126同中素的188个态的能谱描述达到0.2 MeV均方根差。但是如果对这些同位素和同中素分别考虑,均方根差可以进一步减小,并且有不同的极小值。质子质子相互作用的强度比中子中子相互作用的强度要大15%,这表明中重核中存在"镜像能差"。增大模型空间对部分核的描述很重要,比如考虑跨壳激发对质子或中子数为幻数的核很重要。还通过三个哈密顿量研究了丰中子F同位素,尽管三个哈密顿量的结果不同,双中子分离能和能谱都对跨壳激发非常敏感,并且被跨壳激发影响的趋势类似。


The uncertainty of the nuclear shell model is important but rarely investigated. The present work provides preliminary investigations on the uncertainty of the nuclear force and the effect model space in shell-model calculations. The most important part of the nuclear force is the central force, which is also considered to include the largest contribution from the renormalization effect. If semi-magic nuclei are considered and only the strength of the central force varies, C10 (T,S=1,0) and C11 (T,S=1,1) channels of the central force contribute to the theoretical variances of the description of the levels, while the spin-orbit force and the tensor force are kept unchanged as the bare ones. One set of the strengths of a simple nuclear force gives an 0.2 MeV root mean square (RMS) between observed and theoretical levels from 188 states in Pb and Sn isotopes and N=82 and 126 isotones. However, if levels in these isotopes and isotones are separately considered, RMS are further reduced and found to have two minimums with 15% stronger pp interaction than nn interaction, which indicates a "mirror difference" in medium and heavy nuclei. The enlarge of the model space are of great significance for the description of certain nuclei, such as the inclusion of cross-shell excitations for the nuclei with magic neutron and/or proton numbers. The neutron-rich F isotopes are investigated through three Hamiltonians. Despite the different results among Hamiltonians, the two neutron separation energies and levels are sensitive to and similarly contributed by the cross-shell excitations.
随机相互作用系综内的镉同位素电磁矩线性演化
雷杨, 覃珍珍
2018, 35(4): 543-548. doi: 10.11804/NuclPhysRev.35.04.543
摘要:
在随机相互作用系综内,镉同位素11/2-同质异能态的电四极矩与磁偶极矩总是倾向于随中子数的增加呈线性演化,这与近年来的实验观测是一致的。除了对力对磁矩线性演化的决定性影响之外,特定形式的质子-中子相互作用被认为是这种线性演化的主要驱动力:电矩的线性演化要求质子中子之间的四极相互作用;磁矩则要求质子中子之间的短程相互作用,并且这种相互作用应具有与真实核相互作用一致的相对强度与正负性。


In random-interaction ensembles, the electric quadrupole moments (Q) and magnetic moments (μ) of the Iπ=11/2- isomers of the Cd isotopes predominantly present linear correlation with neutron numbers, corresponding to the recently emphasized linear Q and μ systematics in realistic nuclear system. Although the seniority scheme enhances such predominance (more essentially for μ), the configuration mixing due to quadrupolelike and δ-force-like proton-neutron interactions is responsible for the linear Q and μ systematics, respectively, at least in random-interaction ensembles. Especially, the linear μ systematics further requires the proton-neutron interaction have similar relative strength and attractive-repulsive property to realistic nuclear interaction.
核物质四阶对称能中的交换项相关物理
刘志伟, 钱庄, 孙保元
2018, 35(4): 549-554. doi: 10.11804/NuclPhysRev.35.04.549
摘要:
基于协变密度泛函(CDF)理论,核物质四阶对称能可以被分解为动能部分,同位旋单态势能部分以及同位旋三重态势能部分。交换项的引入明显改变了同位旋单态势能部分和同位旋三重态势能部分的密度行为,特别是来自同位旋标量介子-核子耦合道的交换项贡献提供了一个压制作用。作为一种有益的尝试,引入广义的对称能,可以更直观地统一描述核物质各阶对称能效应。


The density dependence of nuclear fourth-order symmetry energy S4 is studied within the covariant density functional (CDF) theory in terms of the kinetic energy, isospin-singlet, and isospin-triplet potential energy parts of the energy density functional. When the Fock diagram is introduced, it is found that both isospin-singlet and isospin-triplet components of the potential energy plays important roles in determining the fourth-order symmetry energy. Especially, an extra suppression, which comes from the Fock terms via isoscalar meson-nucleon coupling channels, is revealed in the isospin-triplet potential part of the fourth-order symmetry energy. As an useful attempt, the generalized symmetry energy is introduced to describe the various orders of nuclear symmetry energies in a visual and self-consistent way.
曲率能对热力学驱动力的影响
朱巧迪, 迟萌, 李京珂, 李佳阳, 毛英臣
2018, 35(4): 555-560. doi: 10.11804/NuclPhysRev.35.04.555
摘要:
为了研究曲率能对核裂变热力学驱动力(TDF)的影响,首先利用包含曲率能的截断版小液滴模型计算了200Pb和224Th的位垒和熵垒,对比液滴模型的计算结果表明:曲率能未改变224Th的位垒鞍点,却将200Pb的位垒鞍点向后推移。能级密度参数的形变关系越强则两系统的熵垒鞍点越靠近基态。为了进一步探究曲率能如何通过位势和熵势影响TDF,以断前中子多重性(PNM)为探针,通过两种方案进行了模拟,结果表明:曲率能降低了两系统的位势驱动力,而增强了其熵势驱动力。结合PNM的计算表明,前一种效应要比后一种效应明显,因此曲率能总体减弱了200Pb和224Th的TDF,进而延缓了两系统的核裂变进程。


In order to study the effect of curvature energy on the thermodynamic driving force (TDF) of nuclear fission, the potential and entropy barrier of 200Pb and 224Th systems are calculated by using the truncated droplet model including curvature energy, respectively. Compared with the liquid drop model, the results show that curvature energy does not affect the saddle point of 224Th, but pushes the saddle point of 200Pb backwards the ground state. The stronger the deformation dependence of the level density parameter is, the closer the saddle point of entropy barrier for these systems is to the ground state. In order to further investigate how curvature energy affects TDF through nuclear potential and entropy, respectively, the prescission neutron multiplicity (PNM) is selected as the probe, some simulations based on two schemes are carried out. The results show that curvature energy reduces the potential driving force of 200Pb and 224Th, and enhances the entropy potential driving force. Combined with the calculations and analyses of PNM, the former effect is more obvious than the latter, so curvature energy weakens TDF of two systems on whole, thus delaying the nuclear fission process of two systems.
包含暗物质的强子夸克混合星
立立, 特木尔巴根, 白嘎啦, 刘广洲
2018, 35(4): 561-566. doi: 10.11804/NuclPhysRev.35.04.561
摘要:
研究了含有暗物质的夸克核心混合星的观测属性。用相对论平均场理论和有效质量口袋模型分别描述夸克核心的混合星物质内强子相和夸克相,用Gibbs相平衡条件描述强子-夸克混合相,研究了由于包含强、弱相互作用的费米子暗物质对混合星质量、半径、引力红移、自转频率和转动惯量等整体观测属性的影响。结果表明,在强、弱相互作用下,暗物质粒子质量大于等于0.5 GeV时暗物质会使混合星的状态方程比无暗物质时有一定软化,相应的混合星最大质量减少。当调节暗物质粒子质量研究表明,随着暗物质粒子质量的增大,夸克核心的混合星物质的状态方程变软,混合星的质量、半径变小,并且引力红移、自转频率和转动惯量等整体观测属性也明显依赖于暗物质粒子的质量。当暗物质粒子质量0.1 GeV时,包含强、弱作用暗物质的混合星质量达到2.0 M和2.8 M(其中M为太阳质量),说明大质量脉冲星PSR J1859-0131和J1931-01可能是包含小质量暗粒子暗物质的强子夸克的混合星。整体观测属性的计算结果均在中子星的天文观察数据范围内,也说明强子夸克的混合星内可能包含暗物质。


The observational properties of quark core hybrid star contain dark matter are studied. The influences of containing of strongly or weakly interacting dark matter to global observational features of hybrid stars, mass, radius, gravitational red-shift, rotational period and moment of inertia are studied by using relativistic mean field theory to describe hadron phase, effective mass bag model to quark phase, and Gibbs phase equilibrium conditions to hadron-quark mixed phase respectively. Our results indicate that, both in the strong and weak interacting case, the equation of state for hybrid star matter contain dark matter become softer than that of without dark matter while the mass of dark matter particles larger than 0.5 GeV, which leads to the decrease of the mass and corresponding radius of hybrid star. With the increase of the dark matter particle mass, the equation of state for hybrid star matter become softer, this cause the decrease of the mass and radius of hybrid star obviously. The gravitational red-shift and the rotational period, obviously increase of the moment of inertia of the hybrid stars are influenced by the dark matter particle mass. When the dark matter particle mass is equal to 0.1 GeV, the masses of the star with strong and weak interacting dark matter reach to 2.0 M and 2.8 M(M is the solar mass), this result indicates that the giant mass PSR, J1859-0131 and J1931-01, can be a hadron-quark hybrid star and containing dark matter with small dark particle mass. The computational results of all above global observational features of hybrid stars are in the range of astronomical observation data, these also indicate that hybrid star with quark core may contains dark matter.