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题名: Numerically fitting the electron Fermi energy and the electron fraction in a neutron star
作者: Li, Xing Hu1, 2, 3; Gao, Zhi Fu1, 2; Li, Xiang Dong4; Xu, Yan5; Wang, Pei6; Wang, Na1; Peng, Qiu He4
刊名: INTERNATIONAL JOURNAL OF MODERN PHYSICS D
出版日期: 2016
卷号: 25, 期号:1
关键词: Neutron star ; equation of state ; electron Fermi energy
DOI: 10.1142/S0218271816500024
文章类型: Article
英文摘要: Based on the basic definition of the Fermi energy of degenerate and relativistic electrons, we obtain a special solution to the electron Fermi energy, E-F(e), and express E-F(e) as a function of the electron fraction, Y-e, and matter density, rho. We obtain several useful analytical formula for Y-e and rho within classical models and the work of Dutra et al. (2014) (Type-2) in relativistic mean-field theory are obtained using numerically fitting. When describing the mean-field Lagrangian, density, we adopt the TMA parameter set, which is remarkably consistent with the updated astrophysical observations of neutron stars (NSs). Due to the importance of the density dependence of the symmetry energy, J, in nuclear astrophysics, a brief discussion on J and its slop is presented. Combining these fitting formula with boundary conditions for different density regions, we can evaluate the value of E-F(e) in any given matter density, and obtain a schematic diagram of E-F(e) as a continuous function of rho. Compared with previous studies on the electron Fermi energy in other studies models, our methods of calculating E-F(e) are more simple and convenient, and can be universally suitable for the relativistic electron regions in the circumstances of common neutron stars. We have deduced a general expression of E-F(e) and n(e), which could be used to indirectly test whether one equation of state of a NS is correct in our future studies on neutron star matter properties. Since URCA reactions are expected in the center of a massive star due to high-value electron Fermi energy and electron fraction, this study could be useful in the future studies on the NS thermal evolution.
WOS标题词: Science & Technology ; Physical Sciences
类目[WOS]: Astronomy & Astrophysics
研究领域[WOS]: Astronomy & Astrophysics
关键词[WOS]: EQUATION-OF-STATE ; MEAN-FIELD THEORY ; MAGNETIC-FIELDS ; GROUND-STATE ; URCA PROCESS ; MATTER ; NUCLEI ; TEMPERATURE ; HYPERNUCLEI ; DENSITIES
收录类别: SCI
项目资助者: Xinjiang Natural Science Foundation(2013211A053)
语种: 英语
WOS记录号: WOS:000369694400003
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内容类型: 期刊论文
URI标识: http://libir.pmo.ac.cn/handle/332002/16122
Appears in Collections:南极天文中心_期刊论文

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作者单位: 1.Chinese Acad Sci, Xinjiang Astron Observ, 150 Sci 1 St, Urumqi 830011, Xinjiang, Peoples R China
2.Chinese Acad Sci, Key Lab Radio Astron, 2 West Beijing Rd, Nanjing 210008, Jiangsu, Peoples R China
3.Univ Chinese Acad Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
4.Nanjing Univ, Sch Astron & Space Sci, Nanjing 210008, Jiangsu, Peoples R China
5.Chinese Acad Sci, Natl Observ, Changchun Astron Observ, Changchun 130117, Peoples R China
6.Chinese Acad Sci, Natl Astron Observ, Beijing 100012, Peoples R China
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