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

1.
School of Physics, Southeast University, Nanjing 211189, China

Abstract
HTML
Reference
Related

PDF

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)

[1]	Zetian Li , Ning Liu , Bin Zhu . Interplay of 95 GeV Diphoton Excess and Dark Matter in Supersymmetric Triplet Model. Chinese Physics C, 2026, 50(3): 1-11.
[2]	Ali Çiçi , Hüseyin Dağ . Resolving the W boson Mass in the Lepton Specific Two Higgs Doublet Model. Chinese Physics C, 2026, 50(3): 1-19.
[3]	Wen-Chao Dai , Jie-Dong Jiang , Yin Fan , Xiao Liu , Peng-Cheng Chu , Xi-Jun Wu , Xiao-Hua Li . Systematic study of α decay half-life within cluster-formation model. Chinese Physics C, 2026, 50(1): 014103. doi: 10.1088/1674-1137/ae042c
[4]	Zhe Wang , Quan Liu , Jian-You Guo . Examination of proton radioactivity in exotic nuclei with a deformed Gamow-like model. Chinese Physics C, 2026, 50(2): 1-10. doi: 10.1088/1674-1137/ae042f
[5]	Huixiao Duan , Fan Zhang , Kailei Wang , Jun Su . Nuclear temperature of spectator source extracted by neutron spectra in ¹²⁴Sn,¹⁰⁷Sn + ¹²⁰Sn collisions at 600 MeV/nucleon. Chinese Physics C, 2026, 50(2): 1-10.
[6]	Ayan Banerjee , Indrani Karar , Javlon Rayimbaev , Inomjon Ibragimov , Sardor Murodov , Sokhibjan Muminov , Sardor Jumaniyozov . Existence of quark stars in gravity's Rainbow: the significance of strongly interacting quark matter. Chinese Physics C, 2026, 50(2): 1-12.
[7]	Qing-Wu Wang , Xiao-Fu Łü , Hua-Zhong Guo . $ {\boldsymbol\rho\bf\to \boldsymbol\pi\boldsymbol\pi }$ Hadronic Decay in the Nambu-Jona-Lasinio Model: Mass-Width Interplay and Beyond-RPA Corrections. Chinese Physics C, 2026, 50(2): 1-7.
[8]	Sen Guo , Pei Wang , Ke-Jian He , Guo-Ping Li , Xiao-Xiong Zeng , Wen-Hao Deng . A novel jet model for the Novikov-Thorne disk and its observable impact. Chinese Physics C, 2025, 49(8): 085104. doi: 10.1088/1674-1137/add10e
[9]	Saba Noor , Faisal Akram , Bilal Masud . Study of excited D and D_s mesons in a relativized quark model. Chinese Physics C, 2025, 49(11): 113102. doi: 10.1088/1674-1137/adec50
[10]	Xin-Xin Qi , Hao Sun . Copositive criteria for a two-component dark matter model. Chinese Physics C, 2025, 49(10): 103101. doi: 10.1088/1674-1137/ade4b7
[11]	Rui-Bo Wang , Lei You , Shi-Jie Ma , Jian-Bo Deng , Xian-Ru Hu . Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime. Chinese Physics C, 2025, 49(11): 115102. doi: 10.1088/1674-1137/ade4a9
[12]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[13]	Sneha Pradhan , S. K. Maurya , A. Errehymy , G. Mustafa , P.K. Sahoo . Gravitationally deformed polytropic models in extended teleparallel gravity and influence of decoupling parameters on constraining mass-radius relation. Chinese Physics C, 2025, 49(10): 105110. doi: 10.1088/1674-1137/ade4a1
[14]	Hong-Lei Li , Peng-Cheng Lu , Cong-Feng Qiao , Zong-Guo Si , Ying Wang . Study of the Standard Model and Majorana neutrino contributions to ${ B}^{{ +}} { \to} { K}^{{ (*){ \pm}}}{ \mu}^{ +}{ \mu}^{{ \mp}}$. Chinese Physics C, 2019, 43(2): 023101. doi: 10.1088/1674-1137/43/2/023101
[15]	D. Banerjee , S. Sahoo . Analysis of λ_b→λ l⁺l^- rare decays in a non-universal Z' model. Chinese Physics C, 2017, 41(8): 083101. doi: 10.1088/1674-1137/41/8/083101
[16]	GUO Yan-Qing , SONG Jie . Quantitative conditions for the formation of p-wave neutron halos. Chinese Physics C, 2011, 35(2): 158-162. doi: 10.1088/1674-1137/35/2/010
[17]	YU Zi , LIU Guang-Zhou , ZHU Ming-Feng , DING Wen-Bo , ZHAO En-Guang . Thermal protoneutron stars with hyperons. Chinese Physics C, 2009, 33(S1): 70-72. doi: 10.1088/1674-1137/33/S1/023
[18]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[19]	SANG Jian-Ping , LIU Chao-Shan , LIU Yong . Relation Between the Gap at Z=64 Subshell and the Abrupt Transition in the Region N=88～90. Chinese Physics C, 1991, 15(2): 150-157.
[20]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Fund

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

Article Metric

Article Views(3073)
PDF Downloads(32)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

Corresponding author: Wei-Zhou Jiang,

HTML

目录