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中子星对自旋相关轴矢量新相互作用的约束

高朋林 郑皓 孙光爱

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中子星对自旋相关轴矢量新相互作用的约束

高朋林, 郑皓, 孙光爱

Constraints of neutron star on new interaction ofspin-dependent axial-vector coupling

Gao Peng-Lin, Zheng Hao, Sun Guang-Ai
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  • 众多粒子物理超标准模型中都预言了自旋有关的新相互作用存在. 极化的核子间通过交换自旋为1的轴矢量玻色子可以产生额外的吸引力进而改变无穷大核物质状态方程性质. 本文在相对论平均场模型的框架下加入额外的轴矢量玻色子后计算发现, 当相互作用强度与玻色子质量之比达到$g_{\rm A}^2/m_{\rm Z'}^2 $${\cal O}(10 \, {\rm GeV^{-2}})$时, 低密处无穷大核物质的稳定性和对应的相变行为将发生显著的改变; 而当$g_{\rm A}^2/m_{\rm Z'}^2 > 130 \, {\rm GeV^{-2}}$时核物质将在发生相变前率先到达零压点. 对中子星而言这意味着其内核物质将在保持稳定的状态下形成表面而不会发生相变形成壳层结构, 这与普遍存在于中子星天文观测中的星震现象矛盾, 因此反过来对新相互作用的强度提出了额外的限制. 通过与已有的地面实验结果对比, 本文发现对于力程为微米到厘米间的新相互作用, 中子星对其强度的约束最高可有8个量级的提升.
    It is predicted in many theories beyond the standard model that the new interaction relevant to spin is existent. The exchange of an axial vector particle will result in attractive dipole-dipole interaction which can be viewed as an effective magnetic potential that looks quite different from those expected from electromagnetism. In this work, we demonstrate that, instead of the laboratory spin source, stringent constraints can be set on these attractive spin-spin interactions from polarized nuclear matters within neutron stars which have extremely strong magnetic fields (up to 1015 G in some cases). By considering such an exotic interaction within the framework of relativistic mean field model, we find that the stability of infinite nuclear matter can be influenced significantly when the ratio of coupling strength to boson mass become larger than $g_{\rm A}^2/m_{\rm Z'}^2 \sim {\cal O}(10 \, {\rm GeV^{-2}})$. Furthermore, based on the curvature matrix approach, when $g_{\rm A}^2/m_{\rm Z'}^2 > 130 \, {\rm GeV^{-2}}$, phase transition inside low-density nuclear matter will no longer take place before the pressure of nuclear matter becomes zero, which forbids core-crust transition at the inner edge separating the liquid core from the solid crust of neutron stars. Thus bare neutron stars without any crusts are predicted. However, observations of pulsar glitches, i.e., the occasional disruptions of the extremely regular pulsations from magnetized, rotating neutron stars, imply the existence of crusts inside these dense objects. This in turn constrains the strength of the exotic interaction. In fact, in the case of dipole-dipole force on a length scale between µm to cm, the highest value of these constraints can be 8 orders of magnitude higher than those from existing laboratory results.
      通信作者: 高朋林, gaoyingluo@163.com ; 孙光爱, guangaisun_80@163.com
    • 基金项目: 国家重点研发计划(批准号: 2017YFA0403703)和国家自然科学基金(批准号: U1830205)资助的课题.
      Corresponding author: Gao Peng-Lin, gaoyingluo@163.com ; Sun Guang-Ai, guangaisun_80@163.com
    • Funds: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0403703) and the National Natural Science Foundation of China (Grant No. U1830205).
    [1]

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    LIGO Scientific Collaboration and Virgo Collaboration 2016 Phys. Rev. Lett. 116 061102Google Scholar

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    LIGO Scientific Collaboration and Virgo Collaboration 2016 Phys. Rev. Lett. 116 241103Google Scholar

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    LHCb Collaboration 2016 JHEP 2016 104Google Scholar

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    鲁公儒, 罗鹏晖, 黄金书 2009 物理学报 58 8166Google Scholar

    Lu G R, Luo P H, Huang J S 2009 Acta Phys. Sin. 58 8166Google Scholar

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    鲁公儒, 李新强, 李艳敏, 苏方 2012 物理学报 61 241301Google Scholar

    Lu G R, Li X Q, Li Y M, Su Fang 2012 Acta Phys. Sin. 61 241301Google Scholar

    [8]

    Feng J L, Fornal B, Galon I, Gardner S, Smolinsky J, Tait T M P, Tanedo P 2016 Phys. Rev. Lett. 117 071803Google Scholar

    [9]

    Dine M, Fischler W, Srednicki M 1981 Phys. Lett. B 104 199Google Scholar

    [10]

    Fayet P 1980 Phys. Lett. B 95 285Google Scholar

    [11]

    Will C M 2014 Living Rev. Relativity 17 4Google Scholar

    [12]

    Ramsey N F 1979 Physica A 96 285

    [13]

    Ledbetter M P, Romalis M V, Kimball D F J 2013 Phys. Rev. Lett. 110 040402Google Scholar

    [14]

    Vasilakis G, Brown J M, Kornack T W, Romalis M V 2009 Phys. Rev. Lett. 103 261801Google Scholar

    [15]

    Hunter L, Gordon J, Peck S, Ang D, Lin J F 2013 Science 339 928Google Scholar

    [16]

    Wen D H, Li B A, Chen L W 2009 Phys. Rev. Lett. 103 211102Google Scholar

    [17]

    Xu J, Li B A, Chen L W, Zheng H 2013 J. Phys. G: Nucl. Part. Phys. 40 035107Google Scholar

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    Manchester R N, Hobbs G B, Teoh A, Hobbs M 2005 The Astronomical Journal 129 1993Google Scholar

    [19]

    Xu J, Chen L W, Li B A, Ma H R 2009 Astrophys. J. 697 1549Google Scholar

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    Anderson P W, Itoh N 1975 Nature 256 25Google Scholar

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    Link B, Epstein R I, Lattimer J M 1999 Phys. Rev. Lett. 83 3362Google Scholar

    [22]

    Li B A, Chen L W, Ko C M 2008 Phys. Rep. 464 113Google Scholar

    [23]

    Cai B J, Chen L W 2012 Phys. Rev. C 85 024302

    [24]

    Fattoyev F J, Horowitz C J, Piekarewicz J, Shen G 2010 Phys. Rev. C 82 055803Google Scholar

    [25]

    Zheng H, Chen L W 2012 Phys. Rev. D 85 043013Google Scholar

    [26]

    Piegsa F M 2012 Phys. Rev. Lett. 108 181801Google Scholar

  • 图 1  中子星物质状态方程(能量密度、压强)随重子数密度的变化, 其中轴矢量相互作用的有效耦合常数分别等于$\bar{g}_{\rm A}^2/m_{\rm Z'}^2 = 0, \; 9.9 $和30 GeV–2

    Fig. 1.  Equation of states inside neutron stars as a function of the baryon density for β-stable nuclear matter where the effective couplings to Z' field are $\bar{g}_{\rm A}^2/m_{\rm Z'}^2 = 0, \; 9.9$ and 30 GeV–2, respectively.

    图 2  中子星壳-芯转变密度($n_{\rm t}$)与核物质零压点($n_{\rm c}$)随$\bar{g}_{\rm A}^2/m_{\rm Z'}^2$的变化曲线

    Fig. 2.  Core-crust transition density $n_{\rm t}$ as well as zero-pressure point density $n_{\rm c}$ of nuclear matter as functions of $\bar{g}_{\rm A}^2/m_{\rm Z'}^2$.

    图 3  星震现象对轴矢量新相互作用的约束和其他地面实验中所得约束的对比[13,14,26]

    Fig. 3.  Exclusion contour of the axial-axial couplings from the existence of neutron star crusts. We compare our constraints with other experiments as well[13,14,26].

  • [1]

    ATLAS Collaboration 2012 Phys. Lett. B 716 1Google Scholar

    [2]

    CMS Collaboration 2012 Phys. Lett. B 716 30Google Scholar

    [3]

    LIGO Scientific Collaboration and Virgo Collaboration 2016 Phys. Rev. Lett. 116 061102Google Scholar

    [4]

    LIGO Scientific Collaboration and Virgo Collaboration 2016 Phys. Rev. Lett. 116 241103Google Scholar

    [5]

    LHCb Collaboration 2016 JHEP 2016 104Google Scholar

    [6]

    鲁公儒, 罗鹏晖, 黄金书 2009 物理学报 58 8166Google Scholar

    Lu G R, Luo P H, Huang J S 2009 Acta Phys. Sin. 58 8166Google Scholar

    [7]

    鲁公儒, 李新强, 李艳敏, 苏方 2012 物理学报 61 241301Google Scholar

    Lu G R, Li X Q, Li Y M, Su Fang 2012 Acta Phys. Sin. 61 241301Google Scholar

    [8]

    Feng J L, Fornal B, Galon I, Gardner S, Smolinsky J, Tait T M P, Tanedo P 2016 Phys. Rev. Lett. 117 071803Google Scholar

    [9]

    Dine M, Fischler W, Srednicki M 1981 Phys. Lett. B 104 199Google Scholar

    [10]

    Fayet P 1980 Phys. Lett. B 95 285Google Scholar

    [11]

    Will C M 2014 Living Rev. Relativity 17 4Google Scholar

    [12]

    Ramsey N F 1979 Physica A 96 285

    [13]

    Ledbetter M P, Romalis M V, Kimball D F J 2013 Phys. Rev. Lett. 110 040402Google Scholar

    [14]

    Vasilakis G, Brown J M, Kornack T W, Romalis M V 2009 Phys. Rev. Lett. 103 261801Google Scholar

    [15]

    Hunter L, Gordon J, Peck S, Ang D, Lin J F 2013 Science 339 928Google Scholar

    [16]

    Wen D H, Li B A, Chen L W 2009 Phys. Rev. Lett. 103 211102Google Scholar

    [17]

    Xu J, Li B A, Chen L W, Zheng H 2013 J. Phys. G: Nucl. Part. Phys. 40 035107Google Scholar

    [18]

    Manchester R N, Hobbs G B, Teoh A, Hobbs M 2005 The Astronomical Journal 129 1993Google Scholar

    [19]

    Xu J, Chen L W, Li B A, Ma H R 2009 Astrophys. J. 697 1549Google Scholar

    [20]

    Anderson P W, Itoh N 1975 Nature 256 25Google Scholar

    [21]

    Link B, Epstein R I, Lattimer J M 1999 Phys. Rev. Lett. 83 3362Google Scholar

    [22]

    Li B A, Chen L W, Ko C M 2008 Phys. Rep. 464 113Google Scholar

    [23]

    Cai B J, Chen L W 2012 Phys. Rev. C 85 024302

    [24]

    Fattoyev F J, Horowitz C J, Piekarewicz J, Shen G 2010 Phys. Rev. C 82 055803Google Scholar

    [25]

    Zheng H, Chen L W 2012 Phys. Rev. D 85 043013Google Scholar

    [26]

    Piegsa F M 2012 Phys. Rev. Lett. 108 181801Google Scholar

计量
  • 文章访问数:  6174
  • PDF下载量:  45
  • 被引次数: 0
出版历程
  • 收稿日期:  2019-04-01
  • 修回日期:  2019-06-27
  • 上网日期:  2019-09-01
  • 刊出日期:  2019-09-20

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