Crust-core properties of neutron stars in the Nambu-Jona-Lasinio model

Si-Na Wei; Rong-Yao Yang; Wei-Zhou Jiang

doi:10.1088/1674-1137/42/5/054103

Chinese Physics C> 2018, Vol. 42> Issue(5) : 054103 DOI: 10.1088/1674-1137/42/5/054103

Crust-core properties of neutron stars in the Nambu-Jona-Lasinio model

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School of Physics, Southeast University, Nanjing 211189, China

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Abstract：
We adopt the Nambu-Jona-Lasinio (NJL) model to study the crust-core transition properties in neutron stars (NSs). For a given momentum cutoff and symmetry energy of saturation density in the NJL model, decreasing the slope of the symmetry energy gives rise to an increase in the crust-core transition density and transition pressure. Given the slope of the symmetry energy at saturation density, the transition density and corresponding transition pressure increase with increasing symmetry energy. The increasing trend between the fraction of the crustal moment of inertia and the slope of symmetry energy at saturation density indicates that a relatively large momentum cutoff of the NJL model is preferred. For a momentum cutoff of 500 MeV, the fraction of the crustal moment of inertia clearly increases with the slope of symmetry energy at saturation density. Thus, at the required fraction (7%) of the crustal moment of inertia, the NJL model with momentum cutoff of 500 MeV and a large slope of the symmetry energy of saturation density can give the upper limit of the mass of the Vela pulsar to be above 1.40 M_⊙.
- neutron stars ,
- Nambu-Jona-Lasinio model ,
- glitches ,
- crust-core transition

References

[1]	J. M. Lattimer, M. Prakash, Astrophys. J., 550:426(2001)
[2]	M. Ruderman, Nature, 223:597(1969)
[3]	D. Pines, J. Shaham, M. Ruderman, Nat. Phys. Sci., 237:83(1972)
[4]	P. W. Anderson and N. Itoh, Nature (London), 256:25(1975)
[5]	D. Pines, M. Alpar, Nature, 316:27(1985)
[6]	B. Link, R. I. Epstein, and J. M. Lattimer, Phys. Rev. Lett., 83:3362(1999)
[7]	J. M. Lattimer, M. Prakash, Science, 304:536(2004)
[8]	J. M. Lattimer, M. Prakash, Phys. Rep., 442:109(2007)
[9]	N. Chamel, Phys. Rev. Lett., 110:011101(2013)
[10]	J. Piekarewicz, F. J. Fattoyev, C. J. Horowitz, Phys. Rev.C, 90:015803(2014)
[11]	N. Andersson, K. Glampedakis, W. C. G. Ho, and C. M. Espinoza, Phys. Rev. Lett., 109:241103(2012)
[12]	N. Chamel, Phys. Rev. C, 85:035801(2012)
[13]	M. Bigdeli and S. Elyasi, Eur. Phys. J. A, 51(3):38(2015)
[14]	J. Xu, L. W. Chen, B. A. Li, and H. R. Ma, Astrophys. J., 697:1549-1568(2009)
[15]	Ch. C. Moustakidis et al, Phys. Rev. C, 81:065803(2010)
[16]	C. Ducoin et al, Phys. Rev. C, 83:045810(2011)
[17]	Y. Nambu, G. J. Lasinio, Phys. Rev., 122:345(1961)
[18]	U. Vogl and W. Weise, Prog. Part. Nucl. Phys., 27:195-272(1991)
[19]	N. D. Merrnin, Rev. Mod. Phys., 64:3-49(1992); Rev. Mod. Phys., 64:1163-1163(1992); Rev. Mod. Phys., 64:635-635(1992); Rev. Mod. Phys., 66:249-249(1994)
[20]	M. Buballa, Phys. Rept., 407:205-376(2005)
[21]	V. Koch, T. S. Biro, J. Kunz, and U. Mosel, Phys. lett. B, 185:1(1987)
[22]	I. N. Mishustin, L. M. Satarov, and W. Greiner, Phys. Rep., 391:363(2004)
[23]	C. Da. Providencia, J. Da. Providencia, and S. A. Moszkowski, Int. J. Mod. Phys. B, 17:5208(2003)
[24]	S. N. Wei, W. Z. Jiang, R. Y. Yang, and D. R. Zhang, Phys. Lett. B, 763:145-150(2016)
[25]	T. J. Brvenich and D. G. Madland, Nucl. Phys. A, 729:769(2003)
[26]	H. Pais, D. P. Menezes, and C. Providencia, Phys. Rev. C, 93:065805(2016)
[27]	S. Kubis, Phys. Rev. C, 70:065804(2004)
[28]	S. Kubis, Phys. Rev. C, 76:025801(2007)
[29]	X. D. Ji, Phys. Rev. Lett., 74:1071(1995)
[30]	M. Procura, B. U. Musch, T. Wollenweber, T. R. Hemmert, and W. Weise, Phys. Rev. D, 73:114510(2006)
[31]	W. G. Lynch, M. B. Tsang, Y. Zhang, P. Danielewicz, M. Famiano, Z. Li, and A. W. Steiner, Prog. Part. Nucl. Phys., 62:427(2009)
[32]	C. Fuchs, Prog. Part. Nucl. Phys., 56:1(2006)
[33]	I. Sagert, L. Tolos, D. Chatterjee, J. Schaffner-Bielich, and C. Sturm, Phys. Rev. C, 86:045802(2012)
[34]	C. Fuchs, A. Faessler, E. Zabrodin, and Y. M. Zheng, Phys. Rev. Lett., 86:1974(2001)
[35]	P. Danielewicz, R. Lacey, and W. G. Lynch, Science, 298:1592(2002)
[36]	G. A. Lalazissis, J. Konig, and P. Ring,Phys. Rev. C, 55:540(1997)
[37]	M. M. Sharma, M. A. Nagarajan, and P. Ring, Phys. Lett. B, 312:377(1993)
[38]	Y. Sugahara and H. Toki, Nucl. Phys. A, 579:557(1994)
[39]	B. A. Li and X. Han, Phys. Lett. B, 727:276(2013)
[40]	L. W. Chen, C. M. Ko, B. A. Li, and J. Xu, Phys. Rev. C, 82:024321(2010)
[41]	L. W. Chen, Nucl. Phys. Rev., 31:273(2014)
[42]	C. Xu, B. A. Li, L. W. Chen, Phys. Rev. C, 82:054607(2010)
[43]	M. B. Tsang, J. R. Stone, F. Camera, P. Danielewicz et al, Phys. Rev. C, 86:015803(2012)
[44]	M. B. Tsang, Y. X. Zhang, P. Danielewicz, M. Famiano, Z. X. Li, W. G. Lynch, and A. W. Steiner, Phys. Rev. Lett., 102:122701(2009); ibid., Int. J. Mod. Phys. E, 19:1631(2010)
[45]	N. Wang, M. Liu, L. Ou, and Y. Zhang, Phys. Lett. B, 751:553(2015)
[46]	J. M. Lattimer and Y. Lim, Astrophys. J., 771:51(2013)
[47]	A. W. Steiner, S. Gandolfi, Phys. Rev. Lett., 108:081102(2012)
[48]	X. Roca-Maza, M. Brenna, B. K. Agrawal, P. F. Bortignon, G. Col'o, Li-Gang Cao, N. Paar, and D. Vretenar, Phys. Rev. C, 87:034301(2013)
[49]	D. V. Shetty, S. J. Yennello, G. A. Souliotis, Phys. Rev. C, 76:024606(2007)
[50]	P. Danielewicz and J. Lee, Nucl. Phys. A, 818:36(2009)
[51]	M. Gearheart, W. G. Newton, J. Hooker, and B. A. Li, Mon. Not. R. Astron. Soc., 418:2343(2011)
[52]	H. Sotani, K. Nakazato, K. Iida, and K. Oyamatsu, Mon. Not. R. Astron. Soc., 428:L21(2013)
[53]	W. G. Newton, B. A. Li, Phys. Rev. C, 80:065809(2009)
[54]	J. M. Lattimer and A. W. Steiner, Eur. Phys. J. A, 50:40(2014)
[55]	S. Gandolfi, J. Carlson, and Sanjay Reddy, Phys. Rev. C, 85:032801(2012)
[56]	K. Hebeler, J. M. Lattimer, C. J. Pethick, and A. Schwenk, Astrophys. J, 773:11(2013)
[57]	J. Oppenheimet and G. Volkoff, Phys. Rev., 55:374(1939)
[58]	R. C. Tolman, Phys. Rev., 55:364(1939)
[59]	G. Baym, C. Pethick, and P. Sutherland, Astrophys. J., 170:299(1971)
[60]	K. Iida and K. Sato, Astrophys. J., 477:294(1997)
[61]	P. Demorest, T. Pennucci, S. Ransom, M. Roberts, and J. Hessels, Nature, 467:1081(2010)
[62]	J. Antoniadis, P. C. Freire, N. Wex, T. M. Tauris, R. S. Lynch et al, Science, 340:1233232(2013)
[63]	A. W. Steiner, J. M. Lattimer, and E. F. Brown, Astrophys. J, 722:33(2010)
[64]	A. W. Steiner, J. M. Lattimer, and E. F. Brown, Astrophys. J., 765:L5(2013)
[65]	S. Guillot, M. Servillat, N. A. Webb, and R. E. Rutledge, Astrophys. J, 772:7(2013)
[66]	F. zel, G. Baym, and T. Guver, Phys. Rev. D, 82:101301(2010)
[67]	V. Suleimanov, J. Poutanen, M. Revnivtsev, and K. Werner, Astrophys. J, 742:122(2011)
[68]	S. Bogdanov, Astrophys. J., 762:96(2013)
[69]	J. Poutanen et al, Mon. Not. R. Astron. Soc., 442:3777(2014)
[70]	C. O. Heinke, H. N. Cohn, P. M. Lugger, N. A. Webb et al, Mon. Not. R. Astron. Soc., 444:443(2014)
[71]	J. M. Lattimer, A. W. Steiner, Astrophys. J., 784:123(2014)
[72]	B. A. Li, A. W. Steiner, Phys. Lett. B, 642:436(2006)
[73]	W. Z. Jiang, B. A. Li, L. W. Chen, Phys. Lett. B, 653:184(2007)
[74]	G. Watanabe and C. J. Pethick, Phys. Rev. Lett., 119:062701(2017)
[75]	J. M. Lattimer and M. Prakash. Phys. Rep., 333:121(2000)
[76]	G. G. Pavlov, V. E. Zavlin, D. Sanwal, V. Burwitz, and G. P. Garmire, Astrophys. J., 552:L129(2001)

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Si-Na Wei, Rong-Yao Yang and Wei-Zhou Jiang. Crust-core properties of neutron stars in the Nambu-Jona-Lasinio model[J]. Chinese Physics C, 2018, 42(5): 054103. doi: 10.1088/1674-1137/42/5/054103

Si-Na Wei, Rong-Yao Yang and Wei-Zhou Jiang. Crust-core properties of neutron stars in the Nambu-Jona-Lasinio model[J]. Chinese Physics C, 2018, 42(5): 054103. doi: 10.1088/1674-1137/42/5/054103 shu

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Received: 2017-10-25
Revised: 2018-02-25

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Supported by National Natural Science Foundation of China (11775049, 11275048) and the China Jiangsu Provincial Natural Science Foundation (BK20131286)

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沈阳化工大学材料科学与工程学院沈阳 110142

Crust-core properties of neutron stars in the Nambu-Jona-Lasinio model

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Crust-core properties of neutron stars in the Nambu-Jona-Lasinio model

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