Influences of the bag constant on properties of hybrid stars

  • Influences of the bag constant on the properties of hybrid stars are investigated by using relativistic mean field theory and the MIT bag model to describe the hadron phase and quark phase in the interior of neutron stars, respectively. Our results indicate that the onset of hadron-quark phase transition is put off and the appearance of hyperon species is increased with the increase in bag constant. As a result, the hybrid star equation of state for a mixed phase range stiffens whereas that of the quark phase range softens, and the gravitational mass as well as the corresponding radius of hybrid stars are increased obviously. The gravitational mass of a hybrid star is increased from 1.42 M (M is solar mass) to 1.63 M and the corresponding radius is changed from 9.1 km to 12.2 km when the bag constant (B1/4) is increased from 170 MeV to 200 MeV. It is interesting to find that hybrid star equations of state become non-smooth when the TM2 parameter sets in the framework of relativistic mean field theory used to describe the hadronic matter, and consequently, the third family of compact stars appear in the mass-radius relations of hybrid stars in the narrow scope of the bag constant from 175 MeV to 180 MeV. These show that the choice of the bag constant in the MIT bag model has significant influence on the properties of hybrid stars.
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  • [1] Glendenning N K. Astrophys. J., 1985, 293: 470-4932 Schaffner J, Mishustin I N. Phys. Rev. C, 1996, 53: 14163 JIA H Y, SUN B X, MENG J et al. Chin. Phys. Lett., 2001, 18: 15714 Glendenning N K. Compact Stars. New York: Springer-Verlag, 2000. 147-178; 303-3365 WANG G H, FU W J, LIU Y X. Phys. Rev. C, 2008, 78: 0258016 Glendenning N K. Phys. Rev. D, 1992, 46: 12747 Schertler K, Greiner C, Sahu P K et al. Nucl. Phys. A, 1998, 637: 451-4658 Schertler K, Leupold S. Phys. Rev. C, 1999, 60: 0258019 BAO T, LIU G Z, ZHU M F. Commun. Theor. Phys., 2006, 45: 50510 Chodos A, Jaffe R L, Johnson K et al. Phys. Rev. D, 1974, 9: 347111 Nambu Y, Jona-Lasinio G. Phys. Rev., 1961, 124: 24612 PENG G X, CHIANG H C, ZOU B S et al. Phys. Rev. C, 2000, 62: 02580113 Schertler K, Greiner C, Thoma M H. Nucl. Phys. A, 1997, 616: 659-67914 Sugahara Y, Toki H. Nucl. Phys. A, 1994, 79: 55715 Glendenning N K. Astron. Astrophys, 2000, 353: L9-L1216 Oppenheimer J R,Volkoff G M. Phys. Rev., 1939, 55: 347
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BAO Tmurbagan, LI Gen-Quan, WANG Zong-Chang, YANG Xing-Qiang and LIU Guang-Zhou. Influences of the bag constant on properties of hybrid stars[J]. Chinese Physics C, 2011, 35(6): 539-542. doi: 10.1088/1674-1137/35/6/005
BAO Tmurbagan, LI Gen-Quan, WANG Zong-Chang, YANG Xing-Qiang and LIU Guang-Zhou. Influences of the bag constant on properties of hybrid stars[J]. Chinese Physics C, 2011, 35(6): 539-542.  doi: 10.1088/1674-1137/35/6/005 shu
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Received: 2010-10-18
Revised: 2010-10-12
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Influences of the bag constant on properties of hybrid stars

Abstract: Influences of the bag constant on the properties of hybrid stars are investigated by using relativistic mean field theory and the MIT bag model to describe the hadron phase and quark phase in the interior of neutron stars, respectively. Our results indicate that the onset of hadron-quark phase transition is put off and the appearance of hyperon species is increased with the increase in bag constant. As a result, the hybrid star equation of state for a mixed phase range stiffens whereas that of the quark phase range softens, and the gravitational mass as well as the corresponding radius of hybrid stars are increased obviously. The gravitational mass of a hybrid star is increased from 1.42 M (M is solar mass) to 1.63 M and the corresponding radius is changed from 9.1 km to 12.2 km when the bag constant (B1/4) is increased from 170 MeV to 200 MeV. It is interesting to find that hybrid star equations of state become non-smooth when the TM2 parameter sets in the framework of relativistic mean field theory used to describe the hadronic matter, and consequently, the third family of compact stars appear in the mass-radius relations of hybrid stars in the narrow scope of the bag constant from 175 MeV to 180 MeV. These show that the choice of the bag constant in the MIT bag model has significant influence on the properties of hybrid stars.

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