A corresponding-state approach to quark-cluster matter

GUO Yan-Jun; LAI Xiao-Yu; XU Ren-Xin

doi:10.1088/1674-1137/38/5/055101

Chinese Physics C> 2014, Vol. 38> Issue(5) : 055101 DOI: 10.1088/1674-1137/38/5/055101

A corresponding-state approach to quark-cluster matter

Abstract
HTML
Reference
Related

PDF

Abstract：
The state of super-dense matter is essential for us to understand the nature of pulsars; however, non-perturbative quantum chromodynamics makes it very difficult to make direct calculations of the state of cold matter at realistic baryon number densities inside compact stars. Nevertheless, from an observational point of view, it is conjectured that pulsars could be made up of quark clusters since the strong coupling between quarks might render the quarks to be grouped in clusters. In this paper, we attempt to find an equation of state of condensed quark-cluster matter in a phenomenological way. Supposing that the quark-clusters could be analogized to inert gases, we apply here the corresponding-state approach to derive the equation of state of quark-cluster matter, as was similarly demonstrated for nuclear and neutron-star matter in the 1970s. According to the calculations that we have presented, the quark-cluster stars, which are composed of quark-cluster matter, could have a high maximum mass that is consistent with observations and, in turn, further observations of pulsar mass could also place a constraint on the properties of quark-cluster matter. We will also briefly discuss the melting heat during the solid-liquid phase conversion and its related astrophysical consequences.

References

[1]

Itoh N. Prog. Theor. Phys., 1970, 44: 291[2] Witten E. Phys. Rev. D, 1984, 30: 272[3] Alcock C, Farhi E, Olinto A. Astrophys. J., 1986, 310: 261[4] Haensel P, Zdunik J L, Schaefer R. AA, 1986, 160: 121[5] Alford M G, Rajagopal K, Schaefer T et al. Rev. Mod. Phys., 2008, 80: 1455[6] Weber F. Pulsars as Astrophysical Laboratories for Nuclear and Particle Physics (Studies in High Energy Physics, Cosmology and Gravitation). Bristol: Institute of Physics, 1999[7] Weber F. Prog. Part. Nucl. Phys., 2005, 54: 193[8] XU R X. Astrophys. J., 2003, 596: L59[9] XU R X. Int. Jour. Mod. Phys. D, 2010, 19: 1437[10] LAI X Y, XU R X. CPC (HEP NP), 2010, 34: 1331[11] Palmer R G, Anderson P W. Rev. Mod. Phys., 1974, 9: 3281[12] Canuto V. ARAA, 1974, 13: 335[13] LAI X Y, XU R X. MNRAS, 2009, 398: L31[14] LAI X Y, XU R X. Astropart. Phys., 2009, 31: 128[15] NA X S, XU R X. CPC (HEP NP), 2011, 35: 616[16] de Boer J. Physica, 1948, 14: 139[17] DAI S, XU R X. Int. Jour. Mod. Phys., 2012, S10: 137[18] LAI X Y, GAO C Y, XU R X. MNRAS, 2013, 431: 3282[19] Jaffe R L. Phys. Rev. Lett., 1977, 38: 195[20] Beane S R, CHANG E, Detmold W et al. Phys. Rev. Lett., 2011, 106: 162001[21] Inoue T, Ishii N, Aoki S et al. Phys. Rev. Lett., 2011, 106: 162002[22] Michel F C. Phys. Rev. Lett., 1988, 60: 677[23] Wilczek F. Nature, 2007, 445: 156[24] Fujii H, Kharzeev D. Phys. Rev. D, 1999, 60: 114039[25] XU R X. J. Phys. G: Nucl. Part. Phys., 2009, 36: 064010[26] Demorest P, Pennucci T, Ransom S et al. Nature, 2010, 467: 1081[27] XU R X, QIAO G J, ZHANG B. ApJ, 1999, 522: L109[28] QIAO G J, LEE K J, ZHANG B. ApJ, 2004, 616: L127[29] Ho W C G, Lai D. MNRAS, 2003, 338: 223[30] Turolla R, Zane S, Drake J J. ApJ, 2004, 603: 265[31] XU R X. ApJ, 2002, 570: L65[32] Ouyed R, Rapp R, Vogt C. ApJ, 2005, 632: 1001[33] Paczyńnski B, Haensel P. MNRAS, 2005, 362: L4[34] CHEN A B, YU T H, XU R X. ApJ, 2007, 668: L55[35] Negreiros R, Schramm S, Weber F. Phys. Rev. D, 2012, 85: 104019[36] Stairs I H, Lyne A G, Shemar S L. Nature, 2000, 406: 484[37] XU R X. Adv. Sp. Res., 2006, 40: 1453[38] de Boer J. Physica, 1948, 14: 149[39] YU M, XU R X. Astropart. Phys., 2011, 414: 489[40] Lide D R. CRC Handbook of Chemistry and Physics. Boca Raton, FL: CRC Press, 2005[41] DAI S, LI L X, XU R X. Science China G, 2011, 54: 1541

[1]	Fang-Yong Dong , Bao-Xi Sun , Jing-Long Pang . The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions. Chinese Physics C, 2017, 41(7): 074108. doi: 10.1088/1674-1137/41/7/074108
[2]	Halife Caglar , Sezgin Aygün . String cloud and domain walls with quark matter for a higher dimensional FRW universe in self creation cosmology. Chinese Physics C, 2016, 40(4): 045103. doi: 10.1088/1674-1137/40/4/045103
[3]	Xiao-Yu Lai , Ren-Xin Xu . Spontaneous magnetization of solid quark-cluster stars. Chinese Physics C, 2016, 40(9): 095102. doi: 10.1088/1674-1137/40/9/095102
[4]	HOU Jia-Xun , PENG Guang-Xiong , XIA Cheng-Jun , XU Jian-Feng . Magnetized strange quark matter in a mass-density-dependent model. Chinese Physics C, 2015, 39(1): 015101. doi: 10.1088/1674-1137/39/1/015101
[5]	SHEN Zhen-Yu , XU Xiao-Ming . Relationship between quark-antiquark potential andquark-antiquark free energy in hadronic matter. Chinese Physics C, 2015, 39(7): 074103. doi: 10.1088/1674-1137/39/7/074103
[6]	E. Momtazi , B. H. Yazarloo , H. Hassanabadi . Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach. Chinese Physics C, 2014, 38(2): 023101. doi: 10.1088/1674-1137/38/2/023101
[7]	ANG Pei , ZUO Wei . Three-body force effect on the properties of nuclear matter underthe gap and continuous choices within the BHF approach. Chinese Physics C, 2014, 38(8): 084102. doi: 10.1088/1674-1137/38/8/084102
[8]	XIAO Shi-Song , GUO Pan-Pan , ZHANG Le , HOU De-Fu . Bulk viscosity of hot dense Quark matter in the PNJL model. Chinese Physics C, 2014, 38(5): 054101. doi: 10.1088/1674-1137/38/5/054101
[9]	CHEN Shi-Wu , GAO Li , PENG Guang-Xiong . One-gluon-exchange effect on the properties of quark matter and strange stars. Chinese Physics C, 2012, 36(10): 947-953. doi: 10.1088/1674-1137/36/10/005
[10]	LIU Lang , ZHAO Peng-Wei . α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach. Chinese Physics C, 2012, 36(9): 818-822. doi: 10.1088/1674-1137/36/9/004
[11]	LI Jian , SONG Dan-Jie , GUO Xiao-Jing , JING Bo . A quantum secure direct communication protocol based on a five-particle cluster state and classical XOR operation. Chinese Physics C, 2012, 36(1): 31-36. doi: 10.1088/1674-1137/36/1/005
[12]	NA Xue-Sen , XU Ren-Xin . A new parametric equation of state and quark stars. Chinese Physics C, 2011, 35(7): 616-621. doi: 10.1088/1674-1137/35/7/004
[13]	MA Yu-Gang , CAI Xiang-Zhou , CHEN Jin-Hui , MA Guo-Liang . Strange quark dynamics on hot dense matter under the extreme condition. Chinese Physics C, 2010, 34(9): 1205-1211. doi: 10.1088/1674-1137/34/9/011
[14]	LAI Xiao-Yu , XU Ren-Xin . Quark-clustering in cold quark matter. Chinese Physics C, 2010, 34(9): 1331-1334. doi: 10.1088/1674-1137/34/9/035
[15]	ZUO Wei , ZHOU Shan-Gui , LI Jun-Qing , ZHAO En-Guang , Scheid W . Decomposition of the equation of state of asymmetric nuclear matter into different spin-isospin channels. Chinese Physics C, 2009, 33(7): 547-551. doi: 10.1088/1674-1137/33/7/008
[16]	YANG Fang , SHEN Hong . Influence of the nuclear equation of state on the hadron-quark phase transition in neutron stars. Chinese Physics C, 2008, 32(7): 536-542. doi: 10.1088/1674-1137/32/7/005
[17]	He Zejun , Zhang Jiaju , Qiu Xijun . Suppression of Dilepton Production in Expanding Hot Baryon-Rich Quark-Gluon Matter. Chinese Physics C, 1995, 19(S2): 183-189.
[18]	Shen Pengnian , Shen Xiaoyan , Zhang Zongye , Yu Youwen . Equivalent Local N-Y Potentials with S=-1 in Quark Cluster Model. Chinese Physics C, 1993, 17(S4): 371-379.
[19]	Zhuang Pengfei , Liu Lianshou . Estimation of the Maximum Energy Density in High Energy Heavy Ion Collisions and the Space-time Region for the Formation of Quark Matter. Chinese Physics C, 1991, 15(S3): 297-305.
[20]	He Zejun , Zhang Jiaju , Li Panlin , Qiu Xijun . A Study of the Dilepton Mass Spectrum of an Expanding Hot Quark Matter. Chinese Physics C, 1991, 15(S3): 307-315.

Access

Get Citation

GUO Yan-Jun, LAI Xiao-Yu and XU Ren-Xin. A corresponding-state approach to quark-cluster matter[J]. Chinese Physics C, 2014, 38(5): 055101. doi: 10.1088/1674-1137/38/5/055101

GUO Yan-Jun, LAI Xiao-Yu and XU Ren-Xin. A corresponding-state approach to quark-cluster matter[J]. Chinese Physics C, 2014, 38(5): 055101. doi: 10.1088/1674-1137/38/5/055101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2013-07-30
Revised: 1900-01-01

Article Metric

Article Views(1896)
PDF Downloads(206)
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 corresponding-state approach to quark-cluster matter

Corresponding author: GUO Yan-Jun,

Corresponding author: LAI Xiao-Yu,

Corresponding author: XU Ren-Xin,

Received Date: 2013-07-30

Accepted Date: 1900-01-01

Available Online: 2014-05-05

Abstract: The state of super-dense matter is essential for us to understand the nature of pulsars; however, non-perturbative quantum chromodynamics makes it very difficult to make direct calculations of the state of cold matter at realistic baryon number densities inside compact stars. Nevertheless, from an observational point of view, it is conjectured that pulsars could be made up of quark clusters since the strong coupling between quarks might render the quarks to be grouped in clusters. In this paper, we attempt to find an equation of state of condensed quark-cluster matter in a phenomenological way. Supposing that the quark-clusters could be analogized to inert gases, we apply here the corresponding-state approach to derive the equation of state of quark-cluster matter, as was similarly demonstrated for nuclear and neutron-star matter in the 1970s. According to the calculations that we have presented, the quark-cluster stars, which are composed of quark-cluster matter, could have a high maximum mass that is consistent with observations and, in turn, further observations of pulsar mass could also place a constraint on the properties of quark-cluster matter. We will also briefly discuss the melting heat during the solid-liquid phase conversion and its related astrophysical consequences.

HTML

Reference (1)

A corresponding-state approach to quark-cluster matter

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article