Abstract
We investigated the properties of strange quark matter in an external strong magnetic field with both confinement and leading-order perturbative interactions considered. It was found that the leading-order perturbative interaction can stiffen the equation of state of magnetized quark matter, while the magnetic field lowers the minimum energy per baryon. By solving the Tolman–Oppenheimer–Volkoff equations, we obtain the internal structure of strange stars. The maximum mass of strange stars can be as large as 2 times the solar mass.
Similar content being viewed by others
References
J.F. Xu, G.X. Peng, F. Liu, D.F. Hou, L.W. Chen, Strange matter and strange stars in a thermodynamically self-consistent perturbation model with running coupling and running strange quark mass. Phys. Rev. D 92, 025025 (2015). doi:10.1103/PhysRevD.92.025025
N. Itoh, Hydrostatic equilibrium of hypothetical quark stars. Prog. Theor. Phys. 44, 291 (1970). doi:10.1143/PTP.44.291
A.R. Bodmer, Collapsed nuclei. Phys. Rev. D 4, 1601 (1971). doi:10.1103/PhysRevD.4.1601
H. Terazawa. INS-Report 336, University of Tokyo (1979)
E. Witten, Cosmic separation of phases. Phys. Rev. D 30, 272 (1984). doi:10.1103/PhysRevD.30.272
M. Angeles Perez-Garcia, J. Silk, J.R. Stone, Dark matter, neutron stars, and strange quark matter. Phys. Rev. Lett. 105, 141101 (2010). doi:10.1103/PhysRevLett.105.141101
V. Dexheimer, J.R. Torres, D. Menezes, Stability windows for proto-quark stars. Eur. Phys. J. C 73, 2569 (2013). doi:10.1140/epjc/s10052-013-2569-5
C.J. Xia, G.X. Peng, S.W. Chen, Z.Y. Lu, J.F. Xu, Thermodynamic consistency, quark mass scaling, and properties of strange matter. Phys. Rev. D 89, 105027 (2014). doi:10.1103/PhysRevD.89.105027
S. Chakrabarty, Quark matter in a strong magnetic field. Phys. Rev. D 54, 1306 (1996). doi:10.1103/PhysRevD.54.1306
K. Sato, H. Suzuki, Analysis of neutrino burst from the supernova 1987A in the large magellanic cloud. Phys. Rev. Lett. 58, 2722 (1987). doi:10.1103/PhysRevLett.58.2722
L. Dong, S.L. Shapiro, Cold equation of state in a strong magnetic field—effects of inverse beta-decay. Astrophys. J. 383, 745 (1991). doi:10.1086/170831
R. Duncan, C. Thompson, Formation of very strongly magnetized neutron stars-implications for gamma-ray bursts. Astron. J. 392, L9 (1992). doi:10.1086/186413
C. Kouveliotou et al., An X-ray pulsar with a superstrong magnetic field in the soft gamma-ray repeater SGR 1806–20. Nature 393, 235 (1998). doi:10.1038/30410
T. Tatsumi, T. Maruyama, E. Nakano, K. Nawa, Ferromagnetism in quark matter and origin of the magnetic field in compact stars. Nucl. Phys. A 774, 827 (2006). doi:10.1016/j.nuclphysa.2006.06.145
B. Feng, R. Huang, Y. Jia, Gauge amplitude identities by on-shell recursion relation in S-matrix program. Phys. Lett. B 695, 350 (2011). doi:10.1016/j.physletb.2010.11.011
G.X. Peng, Thermodynamic correction to the strong interaction in the perturbative regime. Europhys. Lett. 72(1), 69 (2005). doi:10.1209/epl/i2005-10189-8
E.S. Fraga, R.D. Pisarski, J. Schaffner-Bielich, Small, dense quark stars from perturbative QCD. Phys. Rev. D 63, 121702(R) (2001). doi:10.1103/PhysRevD.63.121702
B.A. Freedman, L.M. McLerran, Fermions and Gauge vector mesons at finite temperature and density. 1. Formal techniques. Phys. Rev. D 16, 1130 (1977). doi:10.1103/PhysRevD.16.1130
V. Baluni, Nonabelian Gauge theories of fermi systems: chromotheory of highly condensed matter. Phys. Rev. D 17, 2092 (1978). doi:10.1103/PhysRevD.17.2092
M. Bagchi, S. Ray, M. Dey, J. Dey, Compact strange stars with a medium dependence in gluons at finite temperature. Astron. Astrophys. 450, 431 (2006). doi:10.1051/0004-6361:20053732
M. Sinha, X.G. Huang, A. Sedrakian, Strange quark matter in strong magnetic fields within a confining model. Phys. Rev. D 88, 025008 (2013). doi:10.1103/PhysRevD.88.025008
Y. Nambu, G. Jona-Lasino, Dynamical model of elementary particles based on an analogy with superconductivity. Phys. Rev. 122, 345 (1961). doi:10.1103/PhysRev.122.345
S. Plumari, G.F. Bugio, V. Greco, Quark matter in neutron stars within the field correlator method. Phys. Rev. D 88, 083005 (2013). doi:10.1103/PhysRevD.88.083005
R.X. Xu, Solid quark stars? Astrophys. J. 596, L59–L62 (2003). doi:10.1086/379209
R.X. Xu, Can cold quark matter be solid? Int. J. Mod. Phys. D 19, 1437 (2003). doi:10.1142/S0218271810017767
C.F. Li, L. Yang, X.J. Wen, G.X. Peng, Magnetized quark matter with a magnetic-field dependent coupling. Phys. Rev. D 93, 054005 (2016). doi:10.1103/PhysRevD.93.054005
C.J. Xia, G.X. Peng, E.G. Zhao, S.G. Zhou. Phys. Rev. D 93, 085025 (2016). doi:10.1103/PhysRevD.93.085025
C.J. Xia, G.X. Peng, E.G. Zhao, S.G. Zhou, From strangelets to strange stars: a unified description. Sci. Bull. 61(2), 172–177 (2016). doi:10.1007/s11434-015-0982-x
G.S. Khadekar, R. Wanjari, Geometry of quark and strange quark matter in higher dimensional general relativity. Int. J. Theor. Phys. 51, 1408 (2012). doi:10.1007/s10773-011-1016-3
P.K. Sahoo, B. Mishra, Axially symmetric space-time with strange quark matter attached to string cloud in bimetric theory. Int. J. Pure Appl. Math. 82, 87 (2013)
X.J. Wen, Color-flavor locked strange quark matter in a strong magnetic field. Phys. Rev. D 88, 034031 (2013). doi:10.1103/PhysRevD.88.034031
A.A. Isayev, J. Yang, Anisotropic pressure in strange quark matter under the presence of a strong magnetic field. J. Phys. G 40, 035105 (2013). doi:10.1088/0954-3899/40/3/035105
X.Y. Wang, I.A. Shovkovy, Bulk viscosity of spin-one color superconducting strange quark matter. Phys. Rev. D 82, 085007 (2010). doi:10.1103/PhysRevD.82.085007
M. Huang, I.A. Shovkovy, Chromomagnetic instability in dense quark matter. Phys. Rev. D 70, 051501(R) (2004). doi:10.1103/PhysRevD.70.051501
T. Bao, G.Z. Liu, E.G. Zhao, M.F. Zhu, Self-consistently thermodynamic treatment for strange quark matter in the effective mass bag model. Eur. Phys. J. A 38, 287 (2008). doi:10.1140/epja/i2008-10682-6
G.X. Peng, H.C. Chiang, P.Z. Ning, B.S. Zhou, Charge and critical density of strange quark matter. Phys. Rev. C 59, 3452 (1999). doi:10.1103/PhysRevC.59.3452
G.X. Peng, H.C. Chiang, J.J. Yang, L. Li, B. Liu, Mass formulas and thermodynamic treatment in the mass density dependent model of strange quark matter. Phys. Rev. C 61, 015201 (2000). doi:10.1103/PhysRevC.61.015201
X.J. Wen, Z.H. Zhong, G.X. Peng, P.N. Shen, P.Z. Ning, Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets. Phys. Rev. C 72, 015204 (2005). doi:10.1103/PhysRevC.72.015204
J.X. Hou, G.X. Peng, C.J. Xia, J.F. Xu, Magnetized strange quark matter in a mass–density-dependent model. China Phys. C 39(1), 015101 (2015). doi:10.1088/1674-1137/39/1/015101
S.S. Cui, G.X. Peng, Z.Y. Lu at el, Properties of color-flavor locked strange quark matter in an external strong magnetic field. Nucl. Sci. Tech. 26, 040503 (2015). doi:10.13538/j.1001-8042/nst.26.040503
A.A. Isayev, Stability of magnetized strange quark matter in the MIT bag model with a density dependent bag pressure. Phys. Rev. C 91, 015208 (2015). doi:10.1103/PhysRevC.91.015208
V. Goloviznin, H. Satz, The refractive properties of the gluon plasma in SU(2) theory. Z. Phys. C 57, 671 (1993). doi:10.1007/BF01561487
A. Peshier, B. Kämpfer, O.P. Pavlenko, G. Soff, An effective model of the quark-gluon plasma with thermal parton masses. Phys. Lett. B 337, 235 (1994). doi:10.1016/0370-2693(94)90969-5
M.I. Gorenstein, S.N. Yang, Gluon plasma with a medium dependent dispersion relation. Phys. Rev. D 52, 5206 (1995). doi:10.1103/PhysRevD.52.5206
M. Bluhm, B. Kämpfer, G. Soff, The QCD equation of state near T(c) within a quasi-particle model. Phys. Lett. B 620, 131 (2005). doi:10.1016/j.physletb.2005.05.083
V.M. Bannur, Self-consistent quasiparticle model for quark-gluon plasma. Phys. Rev. C 75, 044905 (2007). doi:10.1103/PhysRevC.75.044905
F.G. Gardim, F.M. Steffens, Thermodynamics of quasi-particles at finite chemical potential. Nucl. Phys. A 825, 222 (2009). doi:10.1016/j.nuclphysa.2009.05.001
H. Li, X.L. Luo, H.S. Zong, Bag model and quark star. Phys. Rev. D 82, 065017 (2010). doi:10.1103/PhysRevD.82.065017
L.J. Luo, J.C. Yan, W.M. Sun, H.S. Zong, A thermodynamically consistent quasi-particle model without density-dependent infinity of the vacuum zero point energy. Eur. Phys. J. C 73, 2626 (2013). doi:10.1140/epjc/s10052-013-2626-0
M. Ruggieri, P. Alba, P. Castorina et al., Polyakov loop and gluon quasiparticles in Yang–Mills thermodynamics. Phys. Rev. D 86, 054007 (2012). doi:10.1103/PhysRevD.86.054007
P. Alba, W. Alberico, M. Bluhm et al., Polyakov loop and gluon quasiparticles: a self-consistent approach to Yang–Mills thermodynamics. Nucl. Phys. A 934, 41 (2015). doi:10.1016/j.nuclphysa.2014.11.011
C. Wu, R.L. Xu, Strange quark matter and strangelets in the improved quasiparticle model. Eur. Phys. J. A 51(10), 124 (2015). doi:10.1140/epja/i2015-15124-x
Z.Y. Lu, G.X. Peng, J.F. Xu, S.P. Zhang, Properties of quark matter in a new quasiparticle model with QCD running coupling. Sci. China Phys. Mech. Astron. 59(6), 662001 (2016). doi:10.1007/s11433-015-0524-2
G.N. Fowler, S. Raha, R.M. Weiner, Confinement and phase transitions. Z. Phys. C 9, 271 (1981). doi:10.1007/BF01410668
S. Chakrabarty, S. Raha, B. Sinha, Strange quark matter and the mechanism of confinement. Phys. Lett. B 229, 112 (1989). doi:10.1016/0370-2693(89)90166-4
O.G. Benvenuto, G. Lugones, Strange matter equation of state in the quark mass density dependent model. Phys. Rev. D 51, 1989 (1995). doi:10.1103/PhysRevD.51.1989
G. Lugones, O.G. Benvenuto, Strange matter equation of state and the combustion of nuclear matter into strange matter in the quark mass density dependent model at \(T > 0\). Phys. Rev. D 52, 1276 (1995). doi:10.1103/PhysRevD.52.1276
G.X. Peng, H.C. Chiang, B.S. Zhou, P.Z. Ning, S.J. Luo, Thermodynamics, strange quark matter, and strange stars. Phys. Rev. C 62, 025801 (2000). doi:10.1103/PhysRevC.62.025801
G.X. Peng, A. Li, U. Lombardo, Deconfinement phase transition in hybrid neutron stars from the Brueckner theory with three-body forces and a quark model with chiral mass scaling. Phys. Rev. C 77, 065807 (2008). doi:10.1103/PhysRevC.77.065807
G.X. Peng, X.J. Wen, Y.D. Chen, New solutions for the color-flavor locked strangelets. Phys. Lett. B 633, 314 (2006). doi:10.1016/j.physletb.2005.11.081
G.X. Peng, X.J. Wen, Y.D. Chen, Charge, strangeness and radius of strangelets. J. Phys. G Nucl. Part Phys. 34, 1697 (2007). doi:10.1088/0954-3899/34/7/010
X.P. Zheng, X.W. Liu, M. Kang, S.H. Yang, Bulk viscosity of strange quark matter in a density-dependent quark mass model and dissipation of the r mode in strange stars. Phys. Rev. C 70, 015803 (2004). doi:10.1103/PhysRevC.70.015803
G. Lugones, J.E. Horvath, Quark–diquark equation of state and compact star structure. Int. J. Mod. Phys. D 12, 495 (2003). doi:10.1142/S0218271803002755
R.D. Woods, D.S. Saxon, Diffuse surface optical model for nucleon-nuclei scattering. Phys. Rev. 95, 577 (2003). doi:10.1103/PhysRev.95.577
P.C. Chu, L.W. Chen, X. Wang, Quark stars in strong magnetic fields. Phys. Rev. D 90, 063013 (2014). doi:10.1103/PhysRevD.90.063013
G.X. Peng, H.Q. Chiang, B.S. Zou, P.Z. Ning, S.J. Luo, Thermodynamics, strange quark matter, and strange stars. Phys. Rev. C 62, 025801 (2000). doi:10.1103/PhysRevC.62.025801
P. Demorest, T. Pennucci, S. Ransom, M. Roberts, J. Hessels, Shapiro delay measurement of a two solar mass neutron star. Nature (London) 467, 1081 (2010). doi:10.1038/nature09466
J. Antoniadis et al., A massive pulsar in a compact relativistic binary. Science 340, 1233232 (2013). doi:10.1126/science.1233232
Author information
Authors and Affiliations
Corresponding author
Additional information
This work was supported by the National Natural Science Foundation of China (Nos. 11135011, 11475110, and 11575190)
Rights and permissions
About this article
Cite this article
Peng, C., Peng, GX., Xia, CJ. et al. Magnetized strange quark matter in the equivparticle model with both confinement and perturbative interactions. NUCL SCI TECH 27, 98 (2016). https://doi.org/10.1007/s41365-016-0095-5
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s41365-016-0095-5