Advanced Search
Volume 34 Issue 3
Jul.  2017
Turn off MathJax
Article Contents

REN Xiulei, LI Kaiwen, GENG Lisheng. Towards a Relativistic Formulation of Baryon-baryon Interactions in Chiral Perturbation Theory[J]. Nuclear Physics Review, 2017, 34(3): 392-402. doi: 10.11804/NuclPhysRev.34.03.392
Citation: REN Xiulei, LI Kaiwen, GENG Lisheng. Towards a Relativistic Formulation of Baryon-baryon Interactions in Chiral Perturbation Theory[J]. Nuclear Physics Review, 2017, 34(3): 392-402. doi: 10.11804/NuclPhysRev.34.03.392

Towards a Relativistic Formulation of Baryon-baryon Interactions in Chiral Perturbation Theory

doi: 10.11804/NuclPhysRev.34.03.392
Funds:  National Natural Science Foundation of China (11375024, 11522539, 11335002, 11621131001); China Postdoctoral Science Foundation (2016M600845, 2017T100008)
More Information
  • Corresponding author: 10.11804/NuclPhysRev.34.03.392
  • Received Date: 2017-03-19
  • Rev Recd Date: 2017-05-20
  • Publish Date: 2017-07-18
  • In this paper, we report on two recent studies of relativistic nucleon-nucleon and hyperonnucleon interactions in covariant chiral perturbation theory, where they are constructed up to leading order. The relevant unknown low energy constants are fixed by fitting to the nucleon-nucleon and hyperon-nucleon scattering data. It is shown that these interactions can describe the scattering data with a quality similar to their next-to-leading order non-relativistic counterparts. These studies show that it is technically feasible to construct relativist baryon-baryon interactions, and in addition, after further refinements, these interactions may provide important inputs to ab initio relativistic nuclear structure and reaction studies and help improve our understanding of low energy strong interactions.
  • [1] BEANE S R, DETMOLD W, ORGINOS K, et al. Prog Part Nucl Phys, 2011, 66:1.
    [2] AOKI S, DOI T, HATSUDA T, et al.[HAL QCD Collaboration]. PTEP, 2012, 2012:01A105.
    [3] DOI T, AOKI S, GONGYO S, et al. arXiv:1702.01600[heplat].
    [4] SASAKI K, AOKI S, DOI T, et al. arXiv:1702.06241[heplat].
    [5] ISHⅡ N, AOKI S, DOI T, et al. arXiv:1702.03495[hep-lat].
    [6] YUKAWA H. Proc Phys Math Soc Jap, 1935, 17:48;[Prog Theor Phys 1935, 1(Suppl.):1.
    [7] STOKS V G J, KLOMP R A M, TERHEGGEN C P F, et al. Phys Rev C, 1994, 49:2950.
    [8] WIRINGA R B, STOKS V G J, SCHIAVILLA R. Phys Rev C, 1995, 51:38.
    [9] MACHLEIDT R. Adv Nucl Phys, 1989, 19:189.
    [10] MACHLEIDT R. Phys Rev C, 2001, 63:024001.
    [11] RIJKEN T A, STOKS V G J, YAMAMOTO Y. Phys Rev C, 1999, 59:21.
    [12] HAIDENBAUER J, MEIßNER U G. Phys Rev C, 2005, 72:044005.
    [13] WEINBERG S. Physica A, 1979, 96:327.
    [14] WEINBERG S. Phys Lett B, 1990, 251:288.
    [15] WEINBERG S. Nucl Phys B, 1991, 363:3.
    [16] BEDAQUE P F, VAN KOLCK U. Ann Rev Nucl Part Sci, 2002, 52:339.
    [17] ENTEM D R, MACHLEIDT R. Phys Rev C, 2003, 68:041001.
    [18] EPELBAUM E, GLOCKLE W, MEIßNER U G. Nucl Phys A, 2005, 747:362.
    [19] EPELBAUM E, HAMMER H W, MEIßNER U G. Rev Mod Phys, 2009, 81:1773.
    [20] MACHLEIDT R, ENTEM D R. Phys Rept, 2011, 503:1.
    [21] EPELBAUM E, KREBS H, MEIßNER U G. Phys Rev Lett, 2015, 115:122301.
    [22] KANG X W, HAIDENBAUER J, MEIßNER U G. JHEP, 2014, 1402:113.
    [23] DAI L Y, HAIDENBAUER J, MEIßNER U G. arXiv:1702.02065[nucl-th].
    [24] POLINDER H, HAIDENBAUER J, MEIßNER U G. Nucl Phys A, 2006, 779:244.
    [25] HAIDENBAUER J,MEIßNER U G,NOGGA A, et al. Lect Notes Phys, 2007, 724:113.
    [26] HAIDENBAUER J, PETSCHAUER S, KAISER N, et al. Nucl Phys A, 2013, 915:24.
    [27] POLINDER H, HAIDENBAUER J, MEIßNER U G. Phys Lett B, 2007, 653:29.
    [28] HAIDENBAUER J, MEIßNER U G. Phys Lett B, 2010, 684:275.
    [29] HAIDENBAUER J,MEIßNER U G, Petschauer S. Nucl Phys A, 2016, 954:273.
    [30] SCHWERDTFEGER P. Relativistic Electronic Structure Theory, Part I. Fundamentals, Theoretical and Computational Chemistry Vol. 11[M]. Amsterdam:Elsevier Science Press, 2002.
    [31] MENG J. Relativistic Density Functional for Nuclear Structure, International Review of Nuclear Physics Vol. 10[M]. Singapore:World Scientific, 2016.
    [32] LIANG H, MENG J, ZHOU S G. Phys Rept, 2015, 570:1.
    [33] GENG L S, MARTIN CAMALICH J, ALVAREZ-RUSO L, et al. Phys Rev Lett, 2008, 101:222002.
    [34] GENG L S, MARTIN CAMALICH J, VICENTE VACAS M J. Phys Rev D, 2009, 79:094022.
    [35] GENG L S, REN X L, MARTIN-CAMALICH J, et al. Phys Rev D, 2011, 84:074024.
    [36] REN X L, GENG L S, MARTIN CAMALICH J, et al. JHEP, 2012, 1212:073.
    [37] REN X L, GENG L S, MENG J. Phys Rev D, 2015, 91:051502.
    [38] REN X L, ALVAREZ-RUSO L, GENG L S, et al. Phys Lett B, 2017, 766:325.
    [39] GENG L S, KAISER N, MARTIN-CAMALICH J, et al. Phys Rev D, 2010, 82:054022.
    [40] GENG L S, ALTENBUCHINGER M, WEISE W. Phys Lett B, 2011, 696:390.
    [41] ALTENBUCHINGER M, GENG L S, WEISE W. Phys Lett B, 2012, 713:453.
    [42] LU J X, REN X L, GENG L S. Eur Phys J C, 2017, 77:94.
    [43] SHEN S H, HU J, LIANG H, et al. Chin Phys Lett, 2016, 33(10):102103.
    [44] SHEN S, LIANG H, MENG J, et al. Phys Rev C, 2017, 96:014316.
    [45] REN X L, LI K W, GENG L S, et al. arXiv:1611.08475[nuclth].
    [46] LI K W, REN X L, GENG L S, et al. arXiv:1612.08482[nuclth].
    [47] PARTOVI M H, LOMON E L. Phys Rev D, 1970, 2:1999.
    [48] ERKELENZ K. Phys Rept, 1974, 13:191. doi: 10.1016/0370-1573(74)90008-8.
    [49] BLANKENBECLER R, SUGAR R. Phys Rev,1966, 142:1051.
    [50] THOMPSON R H. Phys Rev D, 1970, 1:110.
    [51] KADYSHEVSKY V G. Nucl Phys B, 1968, 6:125.
    [52] GROSS F. Phys Rev, 1968, 186:1448.
    [53] EPELBAUM E, GEGELIA J. Phys Lett B, 2012, 716:338.
    [54] LI K W, REN X L, GENG L S, et al. Phys Rev D, 2016, 94:014029.
    [55] GIRLANDA L, PASTORE S, SCHIAVILLA R, et al. Phys Rev C, 2010, 81:034005. doi:10.1103/Phys Rev C.81.034005[arXiv:1001.3676[nucl-th]].
    [56] DJUKANOVIC D, GEGELIA J, SCHERER S, et al. Few Body Syst, 2007, 41:141.
    [57] PETSCHAUER S, KAISER N. Nucl Phys A, 2013, 916:1.
    [58] STOKS V G J, KLOMP R A M, RENTMEESTER M C M, et al. Phys Rev C, 1993, 48:792.
    [59] EPELBAUM E, GLOECKLE W, MEIßNER U G. Nucl Phys A, 2000, 671:295.
    [60] ARNDT R A, STRAKOVSKY I I, WORKMAN R L. Phys Rev C, 1994, 50:2731.
    [61] DE SWART J J. Rev Mod Phys, 1963, 35:91; Erratum:Rev Mod Phys, 1968, 37:326.
  • 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

Article Metrics

Article views(1257) PDF downloads(152) Cited by()

Proportional views

Towards a Relativistic Formulation of Baryon-baryon Interactions in Chiral Perturbation Theory

doi: 10.11804/NuclPhysRev.34.03.392
Funds:  National Natural Science Foundation of China (11375024, 11522539, 11335002, 11621131001); China Postdoctoral Science Foundation (2016M600845, 2017T100008)
    Corresponding author: 10.11804/NuclPhysRev.34.03.392

Abstract: In this paper, we report on two recent studies of relativistic nucleon-nucleon and hyperonnucleon interactions in covariant chiral perturbation theory, where they are constructed up to leading order. The relevant unknown low energy constants are fixed by fitting to the nucleon-nucleon and hyperon-nucleon scattering data. It is shown that these interactions can describe the scattering data with a quality similar to their next-to-leading order non-relativistic counterparts. These studies show that it is technically feasible to construct relativist baryon-baryon interactions, and in addition, after further refinements, these interactions may provide important inputs to ab initio relativistic nuclear structure and reaction studies and help improve our understanding of low energy strong interactions.

REN Xiulei, LI Kaiwen, GENG Lisheng. Towards a Relativistic Formulation of Baryon-baryon Interactions in Chiral Perturbation Theory[J]. Nuclear Physics Review, 2017, 34(3): 392-402. doi: 10.11804/NuclPhysRev.34.03.392
Citation: REN Xiulei, LI Kaiwen, GENG Lisheng. Towards a Relativistic Formulation of Baryon-baryon Interactions in Chiral Perturbation Theory[J]. Nuclear Physics Review, 2017, 34(3): 392-402. doi: 10.11804/NuclPhysRev.34.03.392
Reference (61)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return