On the Moment of Inertia and Surface Redshift of Neutron Star

  • Using temperature, density and isospin dependent nuclear equation of state, we calculat- ed the moment of inertia and surface redshift of neutron star by resolving Tolman-Oppenheimer-Volkoff equation. It is found that the moment of inertia and surface redshift strongly depend on the nuclear equation of state. The equation of state with high value of uncompressihility and symmetry en- ergy strength coefficient provides a big moment of inertia, while effective mass of nucleon has almost no effect on moment of inertia. Meanwile, the equation of state with high value of uncompressibility and effective mass of nucleon provides a big surface redshift, while the symmetry energy strength co- efficient has almost no effect on surface redshift of neurtun star. The relationship between moment of inertia and mass is also given in this paper. By comparing the calculated results with the one obtained sendempirically from astronomy, we find that a softer equation of state can provide a more reasonable result.
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  • [1] Hewish A, Bell S J, Pikington J D F. Nature, 1968, 217:709 2 Link B, Epstein R I, Lattimer J M. Phys. Rev. Lett., 1999,83:3362, (astr–Ph/9909146) 3 Tolman R C. Proc. Nat. Acad. Sci. USA, 1934, 20:3 4 Oppenheimer J R, Volkoff G M. Phys. Rev., 1939, 55:374 5 ZHANG Feng–Shou, GE Ling–Xiao. Nucear Multifragmentation. Beijing: Science Press, 1998 (in Chinese)(张丰收,葛凌霄.原子核多重碎裂,北京:科学出版社,1998)6 ZHANG F S. Z. Phys., 1996, A356:163 7 CHEN Lie–Wen, ZHANG Feng–Shou. High Energy Phys. and Nucl. Phys., 1999, 23(12): 1197 (in Chinese)(陈列文,张丰收.高能物理与核物理,1999,23(12) 1197) 8 ZHANG Feng–Shou, CHEN Lie–Wen. High Energy Phys. and Nucl. Phys.,1999, 23(12): 1190 (in Chinese)(张丰收,陈列文.高能物理与核物理,1999,23(12):1190) 9 ZHANG Feng–Shou, GE Ling–Xiao. High Energy Phys. and Nucl. Phys., 1992, 16:666 (in Chinese)(张丰收,葛凌霄.高能物理与核物理,1992,16:666)10 ZHANG F S, CHEN L W. Chin. Phys. Lett., 2001, 18(1):142 11 Kalogera V, Psaltis D. Phys. Rev., 2000, D61:02400912 Arnett W D, Bowers R L. Astrophys. J. Supp., 1977, 33:415 13 Wiringa R B, Fiks V, Fabrocini A. Phys. Rev., 1988, C38(2): 101014 LIANG E P. Astrophys. J, 1986, 304(2):68215 LI Wen–Fei, ZHANG, Feng–Shou, CHEN Lie–Wen. High Enetgy Phys. and Nucl., Phys., 2001 25(9):877 (in Chinese)(李文飞,张丰收,陈列文.高能物理与核物理,2001,25(9):877)16 M φ lnvik T, Φ stgaard E. Nucl. Phys., 1985, A437:239
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LI Wen-Fei, ZHANG Feng-Shou and CHEN Lie-Wen. On the Moment of Inertia and Surface Redshift of Neutron Star[J]. Chinese Physics C, 2001, 25(10): 1006-1011.
LI Wen-Fei, ZHANG Feng-Shou and CHEN Lie-Wen. On the Moment of Inertia and Surface Redshift of Neutron Star[J]. Chinese Physics C, 2001, 25(10): 1006-1011. shu
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Received: 2000-07-18
Revised: 1900-01-01
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On the Moment of Inertia and Surface Redshift of Neutron Star

    Corresponding author: LI Wen-Fei,
  • Center of Theoretical Nuclear Phyics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China 2 Institute of Modern Phyics, The Chinese Academy of Sciences, Lanzhou 730000, China3 CCAST World Labpratory, Beijing 100080,China

Abstract: Using temperature, density and isospin dependent nuclear equation of state, we calculat- ed the moment of inertia and surface redshift of neutron star by resolving Tolman-Oppenheimer-Volkoff equation. It is found that the moment of inertia and surface redshift strongly depend on the nuclear equation of state. The equation of state with high value of uncompressihility and symmetry en- ergy strength coefficient provides a big moment of inertia, while effective mass of nucleon has almost no effect on moment of inertia. Meanwile, the equation of state with high value of uncompressibility and effective mass of nucleon provides a big surface redshift, while the symmetry energy strength co- efficient has almost no effect on surface redshift of neurtun star. The relationship between moment of inertia and mass is also given in this paper. By comparing the calculated results with the one obtained sendempirically from astronomy, we find that a softer equation of state can provide a more reasonable result.

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