<sup>46,50</sup>Ti+<sup>124</sup>Sn熔合反应中耦合道效应的理论研究(英文)

王兵; 赵维娟; 赵恩广; 周善贵

doi:10.11804/NuclPhysRev.34.03.539

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^46,50Ti+¹²⁴Sn熔合反应中耦合道效应的理论研究(英文)

王兵, 赵维娟, 赵恩广, 周善贵

文章导航 > 原子核物理评论 > 2017 > 34(3): 539-544

王兵, 赵维娟, 赵恩广, 周善贵. 46,50Ti+124Sn熔合反应中耦合道效应的理论研究(英文)[J]. 原子核物理评论, 2017, 34(3): 539-544. doi: 10.11804/NuclPhysRev.34.03.539

引用本文:

王兵, 赵维娟, 赵恩广, 周善贵. ^46,50Ti+¹²⁴Sn熔合反应中耦合道效应的理论研究(英文)[J]. 原子核物理评论, 2017, 34(3): 539-544. doi: 10.11804/NuclPhysRev.34.03.539

WANG Bing, ZHAO Weijuan, ZHAO Enguang, ZHOU Shangui. Theoretical Study of the Coupled-channel Effects in Fusion Reactions 46,50Ti+124Sn[J]. Nuclear Physics Review, 2017, 34(3): 539-544. doi: 10.11804/NuclPhysRev.34.03.539

Citation:

WANG Bing, ZHAO Weijuan, ZHAO Enguang, ZHOU Shangui. Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn[J]. Nuclear Physics Review, 2017, 34(3): 539-544. doi: 10.11804/NuclPhysRev.34.03.539

^46,50Ti+¹²⁴Sn熔合反应中耦合道效应的理论研究(英文)

doi: 10.11804/NuclPhysRev.34.03.539

王兵¹,
赵维娟¹,
赵恩广^2,3,
周善贵^2,3,4,5

1.
郑州大学物理工程学院, 郑州 450001;
2.
中国科学院理论物理研究所, 中国科学院理论物理前沿重点实验室, 北京 100190;
3.
兰州重离子加速器国家实验室原子核理论中心, 兰州 730000;
4.
中国科学院大学物理科学学院, 北京 100049;
5.
湖南师范大学量子效应及其应用协同创新中心, 长沙 410081

基金项目: 国家自然科学基金资助项目（11475115，11525524，11621131001，11647601，11711540016，11705165）；中国科学院知识创新工程重要方向项目（KJCX2-EW-N01）；中国科学院前沿科学重点研究项目

详细信息

中图分类号: O571.4;O571.6

Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn

1.
Department of Physics, Zhengzhou University, Zhengzhou 450001, China;
2.
CAS Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China;
3.
Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China;
4.
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
5.
Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, Changsha 410081, China

Funds: Natural Science Foundation of China(11475115, 11525524, 11621131001, 11647601, 11711540016, 11705165); Knowledge Innovation Project of Chinese Academy of Sciences (KJCX2-EW-N01); Key Research Program of Frontier Sciences of CAS

摘要: 近库仑位垒重离子俘获与熔合是一个典型的多位垒穿透过程。在本征道的理论框架下，多反应道的耦合会使得单个位垒分离成一系列的分立位垒。基于位垒分布的思想，我们最近发展了一个经验的耦合道（ECC）模型，并系统地研究了220个反应体系的俘获激发函数。最近，实验报道了熔合反应^46，50Ti+¹²⁴Sn俘获激发函数的测量结果。本文将简要介绍该ECC模型，并结合通用熔合函数（UFF）的约化方法，利用该模型研究熔合反应^46，50Ti+¹²⁴Sn中的耦合道效应。UFF的约化结果表明，相比于⁵⁰Ti+¹²⁴Sn，⁴⁶Ti+¹²⁴Sn的垒下俘获截面有额外的增强。ECC模型成功地再现了实验测得的俘获激发函数，并表明，⁴⁶Ti+¹²⁴Sn垒下俘获截面的额外增强来源于正Q值的中子转移效应。

The heavy-ion capture and fusion processes at energies near the Coulomb barrier can be treated as a multi-dimensional barrier penetration problem. In the eigenchannel framework, the couplings to other channels split the single potential barrier into a set of discrete barriers. Based on the concept of the barrier distribution, we have developed an empirical coupled-channel (ECC) model and performed a systematic study of capture excitation functions for 220 reaction systems. Recently, an experiment was reported in which the capture excitation functions of reactions ^46,50Ti+¹²⁴Sn were measured. In this work, we review the ECC model briefly and use this model together with the universal fusion function (UFF) prescription to study the coupled-channel effects in fusion reactions ^46,50Ti+¹²⁴Sn. The reduced fusion functions show that the sub-barrier capture cross sections of ⁴⁶Ti+¹²⁴Sn exhibit an extra enhancement as compared with those of ⁵⁰Ti+¹²⁴Sn. The results from the ECC model reproduce the experimental capture excitation functions successfully and show that this extra enhancement of the sub-barrier cross sections for ⁴⁶Ti+¹²⁴Sn can be ascribed to the positive Q value neutron transfer effect.
- 位垒分布 /
- 经验耦合道模型 /
- 耦合道效应
Abstract: The heavy-ion capture and fusion processes at energies near the Coulomb barrier can be treated as a multi-dimensional barrier penetration problem. In the eigenchannel framework, the couplings to other channels split the single potential barrier into a set of discrete barriers. Based on the concept of the barrier distribution, we have developed an empirical coupled-channel (ECC) model and performed a systematic study of capture excitation functions for 220 reaction systems. Recently, an experiment was reported in which the capture excitation functions of reactions ^46,50Ti+¹²⁴Sn were measured. In this work, we review the ECC model briefly and use this model together with the universal fusion function (UFF) prescription to study the coupled-channel effects in fusion reactions ^46,50Ti+¹²⁴Sn. The reduced fusion functions show that the sub-barrier capture cross sections of ⁴⁶Ti+¹²⁴Sn exhibit an extra enhancement as compared with those of ⁵⁰Ti+¹²⁴Sn. The results from the ECC model reproduce the experimental capture excitation functions successfully and show that this extra enhancement of the sub-barrier cross sections for ⁴⁶Ti+¹²⁴Sn can be ascribed to the positive Q value neutron transfer effect.
- barrier distribution /
- empirical coupled-channel model /
- coupled-channel effect

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^46,50Ti+¹²⁴Sn熔合反应中耦合道效应的理论研究(英文)

doi: 10.11804/NuclPhysRev.34.03.539

1. 郑州大学物理工程学院, 郑州 450001;

2. 中国科学院理论物理研究所, 中国科学院理论物理前沿重点实验室, 北京 100190;

3. 兰州重离子加速器国家实验室原子核理论中心, 兰州 730000;

4. 中国科学院大学物理科学学院, 北京 100049;

5. 湖南师范大学量子效应及其应用协同创新中心, 长沙 410081

收稿日期: 2016-11-18
修回日期: 2017-04-13
刊出日期: 2017-07-18

中图分类号: O571.4;O571.6

关键词:

位垒分布 /

经验耦合道模型 /

耦合道效应

摘要: 近库仑位垒重离子俘获与熔合是一个典型的多位垒穿透过程。在本征道的理论框架下，多反应道的耦合会使得单个位垒分离成一系列的分立位垒。基于位垒分布的思想，我们最近发展了一个经验的耦合道（ECC）模型，并系统地研究了220个反应体系的俘获激发函数。最近，实验报道了熔合反应^46，50Ti+¹²⁴Sn俘获激发函数的测量结果。本文将简要介绍该ECC模型，并结合通用熔合函数（UFF）的约化方法，利用该模型研究熔合反应^46，50Ti+¹²⁴Sn中的耦合道效应。UFF的约化结果表明，相比于⁵⁰Ti+¹²⁴Sn，⁴⁶Ti+¹²⁴Sn的垒下俘获截面有额外的增强。ECC模型成功地再现了实验测得的俘获激发函数，并表明，⁴⁶Ti+¹²⁴Sn垒下俘获截面的额外增强来源于正Q值的中子转移效应。

The heavy-ion capture and fusion processes at energies near the Coulomb barrier can be treated as a multi-dimensional barrier penetration problem. In the eigenchannel framework, the couplings to other channels split the single potential barrier into a set of discrete barriers. Based on the concept of the barrier distribution, we have developed an empirical coupled-channel (ECC) model and performed a systematic study of capture excitation functions for 220 reaction systems. Recently, an experiment was reported in which the capture excitation functions of reactions ^46,50Ti+¹²⁴Sn were measured. In this work, we review the ECC model briefly and use this model together with the universal fusion function (UFF) prescription to study the coupled-channel effects in fusion reactions ^46,50Ti+¹²⁴Sn. The reduced fusion functions show that the sub-barrier capture cross sections of ⁴⁶Ti+¹²⁴Sn exhibit an extra enhancement as compared with those of ⁵⁰Ti+¹²⁴Sn. The results from the ECC model reproduce the experimental capture excitation functions successfully and show that this extra enhancement of the sub-barrier cross sections for ⁴⁶Ti+¹²⁴Sn can be ascribed to the positive Q value neutron transfer effect.

English Abstract

Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn

1. Department of Physics, Zhengzhou University, Zhengzhou 450001, China;

2. CAS Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China;

3. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China;

4. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;

5. Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, Changsha 410081, China

Received Date: 2016-11-18
Rev Recd Date: 2017-04-13
Publish Date: 2017-07-18

Keywords:

Abstract: The heavy-ion capture and fusion processes at energies near the Coulomb barrier can be treated as a multi-dimensional barrier penetration problem. In the eigenchannel framework, the couplings to other channels split the single potential barrier into a set of discrete barriers. Based on the concept of the barrier distribution, we have developed an empirical coupled-channel (ECC) model and performed a systematic study of capture excitation functions for 220 reaction systems. Recently, an experiment was reported in which the capture excitation functions of reactions ^46,50Ti+¹²⁴Sn were measured. In this work, we review the ECC model briefly and use this model together with the universal fusion function (UFF) prescription to study the coupled-channel effects in fusion reactions ^46,50Ti+¹²⁴Sn. The reduced fusion functions show that the sub-barrier capture cross sections of ⁴⁶Ti+¹²⁴Sn exhibit an extra enhancement as compared with those of ⁵⁰Ti+¹²⁴Sn. The results from the ECC model reproduce the experimental capture excitation functions successfully and show that this extra enhancement of the sub-barrier cross sections for ⁴⁶Ti+¹²⁴Sn can be ascribed to the positive Q value neutron transfer effect.

王兵, 赵维娟, 赵恩广, 周善贵. 46,50Ti+124Sn熔合反应中耦合道效应的理论研究(英文)[J]. 原子核物理评论, 2017, 34(3): 539-544. doi: 10.11804/NuclPhysRev.34.03.539

引用本文:

王兵, 赵维娟, 赵恩广, 周善贵. ^46,50Ti+¹²⁴Sn熔合反应中耦合道效应的理论研究(英文)[J]. 原子核物理评论, 2017, 34(3): 539-544. doi: 10.11804/NuclPhysRev.34.03.539

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46,50Ti+124Sn熔合反应中耦合道效应的理论研究(英文)

doi: 10.11804/NuclPhysRev.34.03.539

Theoretical Study of the Coupled-channel Effects in Fusion Reactions 46,50Ti+124Sn

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46,50Ti+124Sn熔合反应中耦合道效应的理论研究(英文)

doi: 10.11804/NuclPhysRev.34.03.539

English Abstract

Theoretical Study of the Coupled-channel Effects in Fusion Reactions 46,50Ti+124Sn

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^46,50Ti+¹²⁴Sn熔合反应中耦合道效应的理论研究(英文)

Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn

^46,50Ti+¹²⁴Sn熔合反应中耦合道效应的理论研究(英文)

Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn