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Reinvestigation of the electron fraction and electron Fermi energy of neutron star | |
Gao, Z. F.1,2; Shan, H.1; Wang, W.3; Wang, N.1 | |
2017-12-01 | |
Source Publication | ASTRONOMISCHE NACHRICHTEN |
ISSN | 0004-6337 |
Volume | 338Issue:9-10Pages:1066-1072 |
Corresponding Author | Gao, Z. F.(zhifugao@xao.ac.cn) ; Wang, N.(na.wang@xao.ac.cn) |
Abstract | In this work, we reinvestigate the electron fraction Y-e and electron Fermi energy E-F(e) of neutron stars, based on our previous work, in which we first deduce a special solution to E-F(e), and then obtain several useful analytical formulae for Y-e and matter density within classical models and the relativistic mean-field (RMF) theory using numerical fitting. The advantages of this formalism include the following: (a) Linear functions are substituted for the nonlinear exponential functions used in the previous work. This method may be simpler and closer to realistic equation of state (EoS) of a neutron star (NS) because there are linear or quasi-linear relationships between number fractions of leptons and matter density, which can be seen by solving NS EoS. (b) We introduce a dimensionless variable rho (rho = rho/rho(0), rho(0) is the standard saturated nuclear density), which greatly reduces the scope of the fitting coefficients. (c) We present numerical errors including absolute and relative deviations between the data and fit. By numerical simulations, we obtain several analytical formulae for Y-e and rho for both APR98 and RMF models. Combining these analytical formulae with the special solution, we can calculate the value of E-F(e) for any given matter density. Since Y-e and E-F(e) are important in assessing the cooling rate of an NS and the possibility of kaon/pion condensation in the NS's interior, this formalism could be useful in the future studies on the thermal evolution of an NS. |
Keyword | electron Fermi energy equation of state neutron star |
DOI | 10.1002/asna.201713437 |
WOS Keyword | SUPERHIGH MAGNETIC-FIELDS ; EQUATION-OF-STATE ; MATTER ; EVOLUTION ; EMISSION ; MASSES |
Indexed By | SCI |
Language | 英语 |
WOS Research Area | Astronomy & Astrophysics |
WOS Subject | Astronomy & Astrophysics |
WOS ID | WOS:000418755700020 |
Publisher | WILEY-V C H VERLAG GMBH |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://libir.pmo.ac.cn/handle/332002/22512 |
Collection | 中国科学院紫金山天文台 |
Corresponding Author | Gao, Z. F.; Wang, N. |
Affiliation | 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, Nanjing, Jiangsu, Peoples R China 3.Wuhan Univ, Sch Phys & Technol, Wuhan 430072, Hubei, Peoples R China |
Recommended Citation GB/T 7714 | Gao, Z. F.,Shan, H.,Wang, W.,et al. Reinvestigation of the electron fraction and electron Fermi energy of neutron star[J]. ASTRONOMISCHE NACHRICHTEN,2017,338(9-10):1066-1072. |
APA | Gao, Z. F.,Shan, H.,Wang, W.,&Wang, N..(2017).Reinvestigation of the electron fraction and electron Fermi energy of neutron star.ASTRONOMISCHE NACHRICHTEN,338(9-10),1066-1072. |
MLA | Gao, Z. F.,et al."Reinvestigation of the electron fraction and electron Fermi energy of neutron star".ASTRONOMISCHE NACHRICHTEN 338.9-10(2017):1066-1072. |
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