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

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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.

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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

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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

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

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通讯作者: 陈斌, bchen63@163.com

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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.

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A corresponding-state approach to quark-cluster matter

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