Advanced Search
Volume 34 Issue 3
Jul.  2017
Turn off MathJax
Article Contents
Article Navigation >  Nuclear Physics Review  > 2017  >  34(3): 344-350

HU Baishan, XU Furong. Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction[J]. Nuclear Physics Review, 2017, 34(3): 344-350. doi: 10.11804/NuclPhysRev.34.03.344
Citation: HU Baishan, XU Furong. Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction[J]. Nuclear Physics Review, 2017, 34(3): 344-350. doi: 10.11804/NuclPhysRev.34.03.344
shu

Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction

doi: 10.11804/NuclPhysRev.34.03.344

  • State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China

Funds:  National Basic Research Program of China (973 Program)(2013CB834402); National Natural Science Foundation of China (11235001, 11320101004, 11575007)
More Information
  • Corresponding author: 10.11804/NuclPhysRev.34.03.344
  • Received Date: 2016-12-13
  • Rev Recd Date: 2017-04-11
  • Publish Date: 2017-07-18
  • Starting from chiral N3LO, we have applied many-body perturbation theory (MBPT) to the structure of spherical, doubly closed-shell nuclei. The two-body N3LO interaction is softened by a similarity renormalization group transformation. The MBPT calculations are performed within the Hartree-Fock (HF) bases. Higher-order corrections in the HF basis are small relative to the leading-order perturbative result. Corrections up to the third order in energy and up to the second order in wave function are evaluated. Using the anti-symmetrized Goldstone diagram expansions of the wave function, we directly correct the one-body density for the calculation of the radius. Our results are in very good agreement with experimental data.
  • [1] MACHLEIDT R. Phys Rev C, 2001, 63:024001.
    [2] STOKS V G J, KLOMP R A M, TERHEGGEN C P F, et al. Phys Rev C, 1994, 49:2950.
    [3] WIRINGA R B, STOKS V G J, SCHIAVILLA R. Phys Rev C, 1995, 51:38.
    [4] DOLESCHALL P. Phys Rev C, 2004, 69:054001.
    [5] ENTEM D R, MACHLEIDT R. Phys Rev C, 2003, 68:041001.
    [6] MACHLEIDT R, ENTEM D R. Physics Reports, 2011, 503(1):1.
    [7] BRUECKNER K A. Phys Rev, 1955, 97:1353.
    [8] GOLDSTONE J. Proc R Soc Lond A, 1957, 239:267.
    [9] BETHE H A, BRANDOW B H, PETSCHEK A G. Phys Rev, 1963, 129:225.
    [10] BOGNER S K, KUO T T S, CORAGGIO L, et al. Phys Rev C, 2002, 65:051301.
    [11] BOGNER S K, KUO T T S, SCHWENK A. Physics Reports, 2003, 386(1):1.
    [12] BOGNER S K, FURNSTAHL R J, PERRY R J. Phys Rev C, 2007, 75:061001.
    [13] ÔKUBO S. Progress of Theoretical Physics, 1954, 12(5):603.
    [14] SUZUKI K, LEE S Y. Progress of Theoretical Physics, 1980, 64(6):2091.
    [15] SUZUKI K. Progress of Theoretical Physics, 1982, 68(1):246.
    [16] SUZUKI K, OKAMOTO R. Progress of Theoretical Physics, 1983, 70(2):439.
    [17] SUZUKI K. Progress of Theoretical Physics, 1982, 68(6):1999.
    [18] SUZUKI K, OKAMOTO R. Progress of Theoretical Physics, 1994, 92(6):1045.
    [19] ROTH R, HERGERT H, PAPAKONSTANTINOU P, et al. Phys Rev C, 2005, 72:034002.
    [20] ROTH R, NEFF T, FELDMEIER H. Progress in Particle and Nuclear Physics, 2010, 65(1):50.
    [21] NAVRÁTIL P, VARY J P, BARRETT B R. Phys Rev C, 2000, 62:054311.
    [22] NAVRÁTIL P, VARY J P, BARRETT B R. Phys Rev Lett, 2000, 84:5728.
    [23] NAVRÁTIL P, QUAGLIONI S, STETCU I, et al. Journal of Physics G:Nuclear and Particle Physics, 2009, 36(8):083101.
    [24] CAPRIO M A, MARIS P, VARY J P. Physics Letters B, 2013, 719(1-3):179.
    [25] BARRETT B R, NAVRÁTIL P, VARY J P. Progress in Particle and Nuclear Physics, 2013, 69(0):131.
    [26] PIEPER S C, PANDHARIPANDE V R, WIRINGA R B, et al. Phys Rev C, 2001, 64:014001.
    [27] PIEPER S C, WIRINGA R B, CARLSON J. Phys Rev C, 2004, 70:054325.
    [28] PERVIN M, PIEPER S C, WIRINGA R B. Phys Rev C, 2007, 76:064319.
    [29] MARCUCCI L E, PERVIN M, PIEPER S C, et al. Phys Rev C, 2008, 78:065501.
    [30] HAGEN G, PAPENBROCK T, DEAN D J, et al. Phys Rev Lett, 2008, 101:092502.
    [31] HAGEN G, PAPENBROCK T, DEAN D J. Phys Rev Lett, 2009, 103:062503.
    [32] HAGEN G, PAPENBROCK T, DEAN D J, et al. Phys Rev C, 2010, 82:034330.
    [33] SHAVITT I, BARTLETT R J. Many-Body Methods in Chemistry and Physics:MBPT and Coupled-Cluster Theory[M]. Cambridge University Press, 2009.
    [34] CORAGGIO L, ITACO N, COVELLO A, et al. Phys Rev C, 2003, 68:034320.
    [35] HASAN M A, VARY J P, NAVRÁTIL P. Phys Rev C, 2004, 69:034332.
    [36] ROTH R, PAPAKONSTANTINOU P, PAAR N, et al. Phys Rev C, 2006, 73:044312.
    [37] BRILLOUIN L. J Phys Radium, Ser, 1932, 3:373.
    [38] WIGNER E. Math Naturwiss Anz Ungar Akad Wiss, 1935, 53:477.
    [39] STRUTT J W, RAYLEIGH B. The Theory of Sound, Vol1[M]. 2ed. New York:Macmillan and Company, 1894.
    [40] SCHRÖDINGER E. Ann Physik, 1926, 385:437.
    [41] HU B S, XU F R, SUN Z H, et al. Phys Rev C, 2016, 94:014303.
    [42] NEGELE J W. Phys Rev C, 1970, 1:1260.
    [43] ANGELI I, MARINOVA K. Atomic Data and Nuclear Data Tables, 2013, 99(1):69.
    [44] AUDI G, KONDEV F, WANG M, et al. Chinese Physics C, 2012, 36(12):1157.
    [45] BOGNER S K, FURNSTAHL R J, MARIS P, et al. Nuclear Physics A, 2008, 801(1-2):21.
    [46] JURGENSON E D, MARIS P, FURNSTAHL R J, et al. Phys Rev C, 2013, 87:054312.
    [47] TICHAI A, LANGHAMMER J, BINDER S, et al. arXiv:1601.03703[nucl-th].
    [48] EKSTRÖM A, JANSEN G R, WENDT K A, et al. Phys Rev C, 2015, 91:051301.
  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Get Citation
PDF
XML

Article Metrics

Article views(1468) PDF downloads(160) Cited by()

Proportional views

Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction

doi: 10.11804/NuclPhysRev.34.03.344
  • State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
Funds:  National Basic Research Program of China (973 Program)(2013CB834402); National Natural Science Foundation of China (11235001, 11320101004, 11575007)
    Corresponding author: 10.11804/NuclPhysRev.34.03.344
  • Received Date: 2016-12-13
  • Rev Recd Date: 2017-04-11
  • Publish Date: 2017-07-18

Abstract: Starting from chiral N3LO, we have applied many-body perturbation theory (MBPT) to the structure of spherical, doubly closed-shell nuclei. The two-body N3LO interaction is softened by a similarity renormalization group transformation. The MBPT calculations are performed within the Hartree-Fock (HF) bases. Higher-order corrections in the HF basis are small relative to the leading-order perturbative result. Corrections up to the third order in energy and up to the second order in wave function are evaluated. Using the anti-symmetrized Goldstone diagram expansions of the wave function, we directly correct the one-body density for the calculation of the radius. Our results are in very good agreement with experimental data.

HU Baishan, XU Furong. Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction[J]. Nuclear Physics Review, 2017, 34(3): 344-350. doi: 10.11804/NuclPhysRev.34.03.344
Citation: HU Baishan, XU Furong. Ab initio Many-body Perturbation Calculations with Chiral N3LO Interaction[J]. Nuclear Physics Review, 2017, 34(3): 344-350. doi: 10.11804/NuclPhysRev.34.03.344
shu

    HTML

Reference (48)

Catalog

    Copyright by 《Nuclear Physics Review》Editorial Office

    Address: 509 Nanchang Road, LanzhouPostCode: 730000Tel: 0931-4969374, 4969371Fax: 0931-8272100E-mail:npr@impcas.ac.cn

    陇ICP备2023003351号-2 甘公网安备 62010202000723号

    Supported by: Beijing Renhe Information Technology Co. Ltd  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return