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Numerically fitting the electron Fermi energy and the electron fraction in a neutron star
Li, Xing Hu1,2,3; Gao, Zhi Fu1,2; Li, Xiang Dong4; Xu, Yan5; Wang, Pei6; Wang, Na1; Peng, Qiu He4
2016
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS D
Volume25Issue:1
AbstractBased 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.
KeywordNeutron Star Equation Of State Electron Fermi Energy
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1142/S0218271816500024
WOS KeywordEQUATION-OF-STATE ; MEAN-FIELD THEORY ; MAGNETIC-FIELDS ; GROUND-STATE ; URCA PROCESS ; MATTER ; NUCLEI ; TEMPERATURE ; HYPERNUCLEI ; DENSITIES
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000369694400003
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/16122
Collection南极天文中心
Affiliation1.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
Recommended Citation
GB/T 7714
Li, Xing Hu,Gao, Zhi Fu,Li, Xiang Dong,et al. Numerically fitting the electron Fermi energy and the electron fraction in a neutron star[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D,2016,25(1).
APA Li, Xing Hu.,Gao, Zhi Fu.,Li, Xiang Dong.,Xu, Yan.,Wang, Pei.,...&Peng, Qiu He.(2016).Numerically fitting the electron Fermi energy and the electron fraction in a neutron star.INTERNATIONAL JOURNAL OF MODERN PHYSICS D,25(1).
MLA Li, Xing Hu,et al."Numerically fitting the electron Fermi energy and the electron fraction in a neutron star".INTERNATIONAL JOURNAL OF MODERN PHYSICS D 25.1(2016).
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