-
We investigate the properties of the color-flavor-locked (CFL) quark matter at finite temperature and under strong magnetic fields within quasiparticle model. Our results indicate that the pressure of CFL quark matter may become anisotropic under strong magnetic fields, and the equations of state (EOS) and the equivalent quark mass can be strongly influenced by the temperature, the energy gap constat Δ, and the strong magnetic fields inside the CFL quark matter. The equivalent quark mass of CFL quark matter decreases with the increment of the temperature and magnetic field strength, which implies a inverse magnetic catalysis phenomenon. The results also indicate that the entropy per baryon of the CFL quark matter increases with the temperature and decreases with Δ. Furthermore, we study the properties of the CFL magnetars in different isentropic stages, and the results indicate that the star mass and radius is mainly dependent on the strength and orientation distributions of the magnetic field inside the CFL magnetars. The maximum star mass increases with the entropy per baryon, and the temperature of the star matter increases at the large isentropic stages. Moreover, our results also suggest that the polytropic index of the CFL quark matter decrease with the increment of the star mass.
-
Keywords:
- Color-flavor-locked phase /
- Quark star /
- Magnetar
-
[1] Glendenning N K 2000 Compact Stars (2nd edition)(New York:Spinger-Verlag, Inc.)
[2] Weber F 1999 Pulsars as Astrophyical Laboratories for Nuclear and Particle Physics (London:IOP Publishing Ltd)
[3] Lattimer J M and Prakash M 2004 Science 304 536
[4] Steiner A W, Prakash M, Lattimer J M, Ellis P J 2005 Phys. Rep. 410 325
[5] Demorest P 2010 Nature 467, 1081.
[6] Antoniadis J 2013 Science 340 6131
[7] Shahbaz T, Casares J 2018 Astrophys. Journal 859 54
[8] Thankful H, Cromartie 2020 Nature Astronomy Letter 4 72
[9] Fonseca E et al. 2021 Astrophys. J. Lett., 915:L12.
[10] Miller M C et al. 2021 Astrophys. J. Lett., 918:L28.
[11] Abbott R. 2020 Astrophys. J. Lett. 896 L44.
[12] Ivanenko D, Kurdgelaidze D F 1969 Lett. Nuovo Cimento 2 13.
[13] Itoh N 1970 Prog. Theor. Phys. 44 291.
[14] Bodmer A R 1971 Phys. Rev. D 4, 1601.
[15] Witten E 1984 Phys. Rev. D 30 272.
[16] Farhi E, Jaffe R L 1984 Phys. Rev. D 30 2379.
[17] Holdom B et al. 2018 Phys. Rev. L 120 22001.
[18] Zhang C and Mann R B 2021 Phys. Rev. D 103 063018.
[19] Li C M et al. 1984 Phys. Rev. D 30 2379.
[20] Yuan L W, Li A, Miao Z Q, Zuo B J, and Bai Z 1984 Phys. Rev. D 105 123004.
[21] Alcock C, Farh E, Olinto A 1986 Astrophy. J. 310 261
[22] Weber F 2005 Prog. Part. Nucl. Phys. 54 193
[23] Bombaci I, Parenti I, Vidana I 2004 Astrophy. J. 614 314
[24] Staff J, Ouyed R, Bagchi M 2007 Astrophy. J. 667 340
[25] Herzog T M, Röpke F K 2011 Phys. Rev. D 84 083002
[26] Stephanov M A, Rajagopal K, Shuryak E V 1998 Phys. Rev. Lett. 81 4816
[27] Terazawa H 1979 INS-Report (Tokyo:Univ. of Tokyo)336
[28] Alford M, Reddy S 2003 Phys. Rev. D 67 074024
[29] Alford M, Jotwani P, Kouvaris C, Kundu J, Rajagopal K 2005 Phys. Rev. D 71 114011
[30] Baldo M 2003 Phys. Lett. B 562 153
[31] Ippolito N D, Ruggieri M, Rischke D H, Sedrakian A, Weber F Phys. Rev. D 2008 77 023004
[32] Lai X Y, Xu R X 2011 Research Astron. Astrophys. 11 687
[33] Avellar M G B de, Horvath J E, Paulucci L 2011 Phys. Rev. D 84 043004
[34] Bonanno L, Sedrakian A 2012 A&A 539 A16
[35] Chu P C, Wang B, Jia Y Y, Dong Y M, Wang S M, Li X H, Zhang L, Zhang X M, Ma H Y 2016 Phys. Rev. D 94 123014
[36] Chu P C, Li X H, Wang B, Dong Y M, Jia Y Y, Wang S M, Ma H Y 2017 Eur. Phys. J. C 77 512
[37] Chu P C, Zhou Y, Chen C, Li X H, Ma H Y 2020 J. Phys. G:Nucl. Part. Phys. 47 085201
[38] Bailin D and Love A 1984 Phys. Rept. 107, 325.
[39] Alford M G, Rajagopal K, Reddy S and Wilczek F 2001 Phys. Rev. D 64, 074017.
[40] Shovkovy I A 2005 Found. Phys. 35, 1309.
[41] Rajagopal K and Wilczek F 2001 Phys. Rev. L 86 3492.
[42] Alford M G, Rajagopal K, Schaefer T and Schmitt A 2008 Rev. Mod. Phys. 80, 1455.
[43] Lugones G and Horvath J E 2003 Astron. Astrophys. 403, 173.
[44] Horvath J E and Lugones G 2004 Astron. Astrophys. 422, L1.
[45] Li X H, Gao Z F, Li X D, Xu Y, Wang P, WangN, Peng Q H 2016 Int. J. Mod. Phys. D 25 165000
[46] Gao Z F, Wang N, Shan H, Li, X D, Wang W 2017 Astrophys. J. 849 19
[47] Deng Z L, Gao Z F, Li X D, Shao Y 2020 Astrophys. J. 892 4
[48] Yan F Z, Gao Z F, Yang W S, Dong A J 2021 Astron. Nachr.342 249
[49] Wang H, Gao Z F, Jia H Y, Wang N, Li X 2020 Universe 6
[50] Li B P, Gao Z F 2023 Astron. Nachr. 344 e20220111
[51] Deng Z L, Li X D, Gao Z F, Shao Y 2021 Astrophys. J. 909 174
[52] Gao, Z F, Omar N, Shi X C, Wang N 2019 Astron. Nachr. 340 1030
[53] Lander, S K 2023 Astrophys.J. 947 L16
[54] L Woltjer 1964 Astrophys. J. 140 1309
[55] Mihara T A 1990 Nature 346 250
[56] Chanmugam G 1992 Annu. Rev. Astron. Astrophys. 30 143
[57] Lai D, Shapiro S L 1991 Astrophys. J. 383 745
[58] Ferrer E J, Incera V, Keith J P, Portillo I, Springsteen P L 2010 Phys. Rev. C 82 065802
[59] Bandyopadhyay D, Chakrabarty S, Pal S 1997 Phys Rev. Lett. 79 2176
[60] Bandyopadhyay D, Pal S, Chakrabarty S 1998 J. Phys. G:Nucl. Part. Phys. 24 1647
[61] Menezes D P, Pinto M, Benghi, Avancini S, Providencia C 2009 Phys. Rev. C 79 035807
[62] Menezes D P, Pinto M, Benghi, Avancini S, Providencia C 2009 Phys. Rev. C 80 065805
[63] Ryu C Y, Kim K S, Cheoun Myung-Ki 2010 Phys. Rev. C 82 025804
[64] Ryu C Y, Cheoun Myung-Ki, Kajino T, Maruyama T, Mathews Grant J 2012 Astroparticle Physics 38 25
[65] Dong J M 2021 Mon. Not. R. Astron. Soc. 500 1505
[66] Fu G Z, Xing C C, Wang N 2020 Eur. Phys. J. C 80 582
[67] Schertler K, Greiner C, Thoma M H, Schertler K, Greiner C, Thoma M H 1997 Nucl. Phys. A 616 659
[68] Pisarski R D 1989 Nucl. Phys. A 498 423
[69] Wen X J 2009 J. Phys. G:Nucl. Part. Phys. 36 025011
[70] Zhang Z, Chu P C, Li X H, Liu H, Zhang X M 2021 Phys. Rev. D 103 103021
[71] Chu P C, Chen L W 2014 Astrophys. J. 780 135
[72] Chu P C 2018 Phys. Lett. B 778 447
[73] Chu P C, Chen L W 2017 Phys. Rev. D 96 103001
[74] Chodos A, Jaffe R L, Ohnson K, Thorn C B, Weisskopf V F 1974 Phys. Rev. D 9 3471
[75] Alford M, Braby M, Paris M, Reddy S 2005 Astrophy. J. 629 969
[76] Rehberg P, Klevansky S P, Hüfner J 1996 Phys. Rev. C 53 410
[77] Hanauske M, Satarov L M, Mishustin I N, Stocker H, Greiner W 2001 Phys. Rev. D 64 043005
[78] Rüster S B, Rischke D H 2004 Phys. Rev. D 69 045011
[79] Menezes D P, Providencia C, Melrose D B 2006 J. Phys. G 32 1081
[80] Chao J Y, Chu P C, Huang M 2013 Phys. Rev. D 88 054009
[81] Chu P C, Wang X, Chen L W, Huang M 2015 Phys. Rev. D 91 023003, Chu P C et al. 2024 Acta Phys. Sin. 73, 052101.
[82] Chu P C, Wang B, Ma H Y, Dong Y M, Chang S L, Zheng C H, Liu J T, Zhang X M 2016 Phys. Rev. D 93 094032
[83] Chu P C, Chen L W 2017 Phys. Rev. D 96 083019
[84] Roberts C D, Williams A G 1994 Prog. Part. Nucl. Phys. 33 477
[85] Zong H S, Chang L, Hou F Y, Sun W M, Liu Y X 2005 Phys. Rev. C 71 015205
[86] Peng G X, Chiang H C, Yang J J, Li L, Liu B 1999 Phys. Rev. C 61 015201
[87] Peng G X, Chiang H C, Zou B S, Ning P Z, Luo S J 2000 Phys. Rev. C 62 025801
[88] Peng G X, Li A, Lombardo U 2008 Phys. Rev. C 77 065807
[89] Li A, Peng G X, Lu J F 2011 Research Astron. Astrophys. 11 482
[90] Schertler K, Greiner C, Thoma M H 1997 Nucl. Phys. A 616 659
[91] Schertler K, Greiner C, Sahu P K, Thoma M H 1998 Nucl. Phys. A 637 451 M. Alford, C. Kouvaris, and K. Rajagopal, PRD 71, 054009(2005)
[92] Alford M, Kouvaris C, Rajagopal K 2005 Phys. Rev. D 71, 054009
[93] Ioannis Giannakis et al. 2004 Phys. Rev. L 93, 232301
[94] Dong A.J. et al. 2023, Acta Phys. Sin. 72 030502
[95] Ferrer E J and Vivian de la Incera 2005 Phys. Rev. Lett. 95, 152002.
[96] Ferrer E J, Vivian de la Incera, Cristina Manuel 2006 Nucl.Phys. B 747, 88-112.
[97] Feng B, Ferrer E J, and Vivian de la Incera 2011 Nucl.Phys. B 853, 213-239.
[98] Paulucci L, Ferrer E J, Vivian de la Incera, and Horvath J E 2011 Phys. Rev. D 83,043009.
[99] Isayev A A, Yang J 2011 Phys. Rev. C 84 065802
[100] Isayev A A, Yang J 2012 Phys. lett. B 707 163
[101] Isayev A A, Yang J 2013 J. Phys. G:Nucl. Part. Phys. 40 035105
[102] Feng B, Hou D F, Ren H C, and Wu P P 2010 Phys. Rev. L 105, 042001
[103] Gao Z F, Li X D, Wang N, Yuan J P, Wang P, Peng Q H, Du Y J 2016 Mon. Not. R. Astron. Soc. 456 55
[104] Gao Z F, Wang N, Peng Q H, Li X D, Du Y J 2013 Mod. Phys. Lett A 28 1350138
[105] Dong A J et al. 2013 Acta Phys. Sin. 72 030502
[106] Oppenheimer J R, and Volkoff G M 1939 Phys. Rev., 33 374.
[107] Chu P C, Chen L W, Wang X 2014 Phys. Rev. D 90 063013
[108] Chu P C, Liu H, Liu H M, Ju M, Wu X H, Zhou Y, and Li X H 2025 Eur. Phys. J. C 85 466
[109] Chu P C, Liu H, Liu H M, Li X H, Ju M, Wu X H, and Zhou Y 2024 Phys. Rev. D 110 123031
[110] Chu P C, Liu H, Ju M, Wu X H, Liu H M, Zhou Y, Liu H, Lu S Y, and Li X H 2024 Phys. Rev. D 110 043032, Chu P C, Liu H, Li X H, Ju M, Wu X H, and Zhang X M 2024 J. Phys. G:Nucl. Part. Phys. 51 065202
Metrics
- Abstract views: 78
- PDF Downloads: 5
- Cited By: 0
下载:
