Publications of The Korean Astronomical Society (천문학논총)

The Korean Astronomical Society (한국천문학회)
권호 표지
DOI QR코드

DOI QR Code

THE ELECTRON FRACTION AND THE FERMI ENERGY OF RELATIVISTIC ELECTRONS IN A NEUTRON STAR

  • GAO, ZHI FU (Xinjiang Astronomical Observatory) ;
  • LI, X.D. (Shchool of Astronomy and Space Science, Nanjing University) ;
  • WANG, N. (Xinjiang Astronomical Observatory) ;
  • PENG, Q.H. (Shchool of Astronomy and Space Science, Nanjing University)
  • Received : 2014.11.30
  • Accepted : 2015.06.30
  • Published : 2015.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

We first deduce a uniform formula forthe Fermi energy of degenerate and relativistic electrons in the weak-magnetic field approximation. Then we obtain an expression of the special solution for the electron Fermi energy through this formula, and express the electron Fermi energy as a function of electron fraction and matter density. Our method is universally suitable for relativistic electron- matter regions in neutron stars in the weak-magnetic field approximation.

Keywords

References

  1. Baym, G., Bethe, H. A., & Pethick, C. J., 1971, Neutron Star Matter, NuPhA, 175, 225
  2. Baym, G., Pethick, C., & Sutherland, P., 1971,The Ground State of Matter at High Densities: Equation of State and Stellar Models, ApJ, 170, 299 https://doi.org/10.1086/151216
  3. Canuto, V., 1974, Equation of State at Ultrahigh Densities. I, ARA&A, 12, 167 https://doi.org/10.1146/annurev.aa.12.090174.001123
  4. Gao, Z. F., Wang, N., & Song, D. L., et al., 2011, The Effects of Intense Magnetic Fields on Landau Levels in A Neutron Star, Ap&SS, 334, 281 https://doi.org/10.1007/s10509-011-0733-7
  5. Gao, Z. F., Peng, Q. H., & Wang, N., et al., 2011, The Landau Level-Superfluid Modified Factor and The Overal Soft X/$\gamma$-Ray Efficiency Coefficient of A Magnetar, Ap&SS, 336, 427 https://doi.org/10.1007/s10509-011-0791-x
  6. Gao, Z. F., Peng, Q. H., & Wang, N., et al., 2012, Magnetic Field Decay of Magnetars in Supernova Remnants, Ap&SS, 342, 55 https://doi.org/10.1007/s10509-012-1139-x
  7. Gao, Z. F., Peng, Q. H., & Wang, N., et al., 2012, A Possi-ble Mechanism for Magnetar Soft X-Ray/$\gamma$-Ray Emission, ChPhB, 21(5), 057109
  8. Gao, Z. F., Wang, N., & Peng, Q. H., et al., 2013, Pressure of Degenerate and Relativistic Electrons in A Superhigh Magnetic Field, MPLA, 28(36), 1350138 https://doi.org/10.1142/S0217732313501381
  9. Gao, Z. F., Zhao, X. J., & Song, D. L., et al., 2014, Predicted Values of Braking Indexes and Second Frequency Derivatives for Magnetars, AN, 335, 653
  10. Haensel, P., Potekhin, A. Y., & Yakovlev, D. G., 2007, Neutron Stars I, Equation of State and Structure, New York, Springer
  11. Lai, X. R., Cao, C. Y., & Xu, R. X., 2013, H-Cluster Stars, MNRAS, 431, 3282 https://doi.org/10.1093/mnras/stt407
  12. Liu, J. J., 2013,The Electron Capture of Nuclides $^{55}Co$ and $^{56}Ni$ in The Process of Stellar Core Collapse, Ap&SS, 347, 117
  13. Salpeter, E. E., 1961, Energy and Pressure of a Zero-Temperature Plasma, ApJ, 134, 669 https://doi.org/10.1086/147194
  14. Shapiro, S. L. & Teukolsky, S. A., 1983, Black Holes, White Drarfs, and Neutron Stars, New York, Wiley-Interscience
  15. Wang, K., Luo, Z. Q., & Li, Y. L., 2012, Effect of Ultrastrong Magnetic Field on the Electron Capture in the Stellar Surroundings, ChPhL, 29, 049701
  16. Xu, R. X., 2007, AXPs/SGRs: Magnetars or Quark-Stars?, AdSpR, 40, 1453
  17. Yakovlev, D. G., Kaminker, A. D., & Gnedin, O. Y., et al., 2001, Neutrino Emission from Neutron Stars, PhR, 354, 1