A new parametric equation of state and quark stars

NA Xue-Sen; XU Ren-Xin

doi:10.1088/1674-1137/35/7/004

Chinese Physics C> 2011, Vol. 35> Issue(7) : 616-621 DOI: 10.1088/1674-1137/35/7/004

A new parametric equation of state and quark stars

NA Xue-Sen ,
XU Ren-Xin

Abstract
HTML
Reference
Related

PDF

Abstract：
It is still a matter of debate to understand the equation of state of cold matter with supra-nuclear density in compact stars because of unknown non-perturbative strong interaction between quarks. Nevertheless, it is speculated from an astrophysical view point that quark clusters could form in cold quark matter due to strong coupling at realistic baryon densities. Although it is hard to calculate this conjectured matter from first principles, one can expect that the inter-cluster interaction will share some general features with the nucleon-nucleon interaction successfully depicted by various models. We adopt a two-Gaussian component soft-core potential with these general features and show that quark clusters can form stable simple cubic crystal structure if we assume that the wave function of quark clusters have a Gaussian form. With this parametrization, the Tolman-Oppenheimer-Volkoff equation is solved with reasonably constrained parameter space to give mass-radius relations of crystalline solid quark stars. With baryon number densities truncated at 2_n₀ at surface and the range of the interaction fixed at 2 fm we can reproduce similar mass-radius relations to that obtained with bag model equations of state. The maximum mass ranges from 0.5M_⊙ to 3M_⊙. The recently measured high pulsar mass ( 2M_⊙) is then used to constrain the parameters of this simple interaction potential.

References

[1]

Alford M G, Schmitt A, Rajagopal K et al. Rev. Mod. Phys., 2008, 80(4): 14552 XU Ren-Xin. The Astrophysical Journal, 2003, 596(1): L593 XU Ren-Xin. arXiv:0912.03494 XU Ren-Xin. Internat. J. Modern Phys. D, 2010, 19(8): 14375 BI Pin-Zhen, SHI Zhu-Pei. Phys. Rev. C, 1988, 38(2): 10696 Schulz H, Ropke H. Z. Phys. C, 1987, 35(3): 3797 Clark J W, Cleymans J Rafelski J. Phys. Rev. C, 1986, 33(2): 7038 LAI Xiao-Yu, XU Ren-Xin. Astroparticle Physics, 2009, 31(2): 1289 LAI Xiao-Yu, XU Ren-Xin. Monthly Notices of the Royal Astronomical Society: Letters, 2009, 398(1): L3110 Demorest P B, Pennucci T, Ransom S M, Roberts M S E, Hessels J W T. Nature, 2010, 467: 108111 Lennard-Jones J E. Proc. Roy. Soc.(London) A, 1924, 106(738): 46312 Krane K S, Halliday D. Introductory Nuclear Physics. New York: John Wiley Sons Inc., 1988. 8013 Ja e R L. Phys. Rev. Lett., 1977, 38(5): 19514 Sakai T, Mori J, Buchmann A J et al. Nucl. Phys. A, 1997, 625(1-2): 19215 Michel F C. Phys. Rev. Lett., 1988, 60(8): 67716 Landau L D, Lifshitz E M. Statistical Physics: Part I, third edition, Elmsford. New York: Pergamon Press Inc., 1980. 19817 Dey M, Bombaci I, Dey J, Ray S, Samanta B C. Phys. Lett. B, 1998, 438(1-2): 12318 Haensel P, Potekhin A Y, Yakovlev D G. Neutron Stars 1: Equation of State and Structure. New York: Springer, 2007. 1119 Witten E. Phys. Rev. D, 1984, 30(2): 27220 Fowler G N, Raha S, Weiner R M. Z. Phys. C, 1981, 9(2): 27121 LI Ang, XU Ren-Xin, LU Ju-Fu. Monthly Notices of the Royal Astronomical Society, 2010, 402(4): 2715

[1]	Abdel Magied DIAB . Charmed meson structure across crossover from SU(4) Polyakov quark meson model with isospin asymmetry. Chinese Physics C, 2026, 50(1): 013101. doi: 10.1088/1674-1137/ae042d
[2]	Minghui Ding , Fei Gao , Sebastian M. Schmidt . Anisotropic quark propagation and Zeeman effect in an external magnetic field. Chinese Physics C, 2026, 50(2): 1-19.
[3]	Jingxuan Chen , Xiaopeng Wang , Yanbing Cai , Xurong Chen , Qian Wang . Valence quark distributions of pions: insights from Tsallis entropy. Chinese Physics C, 2026, 50(1): 013103. doi: 10.1088/1674-1137/ae0998
[4]	Jing-Juan Qi , Zhen-Yang Wang , Zhu-Feng Zhang , Xin-Heng Guo . The properties of the S-wave D_sD_s bound state. Chinese Physics C, 2026, 50(2): 1-8. doi: 10.1088/1674-1137/ae1195
[5]	Jinneng Luo , Yiming Liu , Sichun Sun . Neutron stars and Pulsar timing arrays as Axion giant gyroscopes. Chinese Physics C, 2026, 50(2): 1-8. doi: 10.1088/1674-1137/ae1189
[6]	Wentao Zeng , Zehao Lin , Yiran Wang , Shuangquan Zhang , Jinniu Hu , Ying Zhang . Resonant states in the Schrödinger equation solved by the Green's function method. Chinese Physics C, 2026, 50(2): 1-10.
[7]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[8]	. Correlation between Zero-Sound modes and nuclear equation of state stiffness detected by light vector boson. Chinese Physics C, 2026, 50(1): 014101. doi: 10.1088/1674-1137/adfa81
[9]	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.
[10]	Shuo Yang , Yi-Hang Wang , Peng-Bo Zhao , Ji-Long Ma . Search for heavy vector-like B quark via pair production in fully hadronic channels at CLIC. Chinese Physics C, 2025, 49(11): 113101. doi: 10.1088/1674-1137/adf183
[11]	G. Leckenby , M. Trassinelli , Rui-jiu Chen , R. S. Sidhu , J. Glorius , M. S. Sanjari , Yu. A. Litvinov , M. Bai , F. Bosch , C. Brandau , T. Dickel , I. Dillmann , D. Dmytriiev , T. Faestermann , O. Forstner , B. Franczak , H. Geissel , R. Gernhäuser , Bing-shui Gao , C. J. Griffin , A. Gumberidze , E. Haettner , R. Heß , P.-M. Hillenbrand , P. Kienle , W. Korten , Ch. Kozhuharov , N. Kuzminchuk , S. Litvinov , E. B. Menz , T. Morgenroth , C. Nociforo , F. Nolden , N. Petridis , U. Popp , S. Purushothaman , R. Reifarth , C. Scheidenberger , U. Spillmann , M. Steck , Th. Stöhlker , Y. K. Tanaka , S. Trotsenko , L. Varga , Meng Wang , H. Weick , P. J. Woods , T. Yamaguchi , Yu-hu Zhang , Jian-wei Zhao . Bayesian and Monte Carlo approaches to estimating uncertainty for the measurement of the bound-state β^- decay of ²⁰⁵Tl⁸¹⁺. Chinese Physics C, 2025, 49(11): 114001. doi: 10.1088/1674-1137/ade956
[12]	Zhen-Yu Li , Guo-Liang Yu , Zhi-Gang Wang , Jian-Zhong Gu , Hong-Tao Shen . Mass spectra of singly heavy baryons in the relativized quark model with heavy-quark dominance. Chinese Physics C, 2025, 49(11): 113107. doi: 10.1088/1674-1137/adf178
[13]	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
[14]	Xiaobin Wang , Lei Chang . Unveiling the inner structure of the Pion’s first excited state. Chinese Physics C, 2025, 49(12): 123107. doi: 10.1088/1674-1137/adfc34
[15]	. Generation of axions and axion-like particles through mass parametric resonance induced by scalar perturbations in the early universe. Chinese Physics C, 2025, 49(12): 125108. doi: 10.1088/1674-1137/adfa82
[16]	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
[17]	ZHANG Da-Lin , QIU Sui-Zheng , LIU Chang-Liang , SU Guang-Hui . Steady state investigation on neutronics of a molten salt reactor considering the flow effect of fuel salt. Chinese Physics C, 2008, 32(8): 624-628. doi: 10.1088/1674-1137/32/8/007
[18]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[19]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[20]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

NA Xue-Sen and XU Ren-Xin. A new parametric equation of state and quark stars[J]. Chinese Physics C, 2011, 35(7): 616-621. doi: 10.1088/1674-1137/35/7/004

NA Xue-Sen and XU Ren-Xin. A new parametric equation of state and quark stars[J]. Chinese Physics C, 2011, 35(7): 616-621. doi: 10.1088/1674-1137/35/7/004 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-09-25
Revised: 2010-10-26

Article Metric

Article Views(4014)
PDF Downloads(590)
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

A new parametric equation of state and quark stars

Received Date: 2010-09-25

Accepted Date: 2010-10-26

Available Online: 2011-07-05

Abstract: It is still a matter of debate to understand the equation of state of cold matter with supra-nuclear density in compact stars because of unknown non-perturbative strong interaction between quarks. Nevertheless, it is speculated from an astrophysical view point that quark clusters could form in cold quark matter due to strong coupling at realistic baryon densities. Although it is hard to calculate this conjectured matter from first principles, one can expect that the inter-cluster interaction will share some general features with the nucleon-nucleon interaction successfully depicted by various models. We adopt a two-Gaussian component soft-core potential with these general features and show that quark clusters can form stable simple cubic crystal structure if we assume that the wave function of quark clusters have a Gaussian form. With this parametrization, the Tolman-Oppenheimer-Volkoff equation is solved with reasonably constrained parameter space to give mass-radius relations of crystalline solid quark stars. With baryon number densities truncated at 2_n₀ at surface and the range of the interaction fixed at 2 fm we can reproduce similar mass-radius relations to that obtained with bag model equations of state. The maximum mass ranges from 0.5M_⊙ to 3M_⊙. The recently measured high pulsar mass ( 2M_⊙) is then used to constrain the parameters of this simple interaction potential.

HTML

Reference (1)

A new parametric equation of state and quark stars

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

A new parametric equation of state and quark stars

HTML

目录