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2024年10月30日

Relationship between quark-antiquark potential andquark-antiquark free energy in hadronic matter

  • In high-temperature quark-gluon plasma and its subsequent hadronic matter created in a high-energy nucleus-nucleus collision, the quark-antiquark potential depends on the temperature. The temperature-dependent potential is expected to be derived from the free energy obtained in lattice gauge theory calculations. This requires one to study the relationship between the quark-antiquark potential and the quark-antiquark free energy. When the system's temperature is above the critical temperature, the potential of a heavy quark and a heavy antiquark almost equals the free energy, but the potential of a light quark and a light antiquark, of a heavy quark and a light antiquark and of a light quark and a heavy antiquark is substantially larger than the free energy. When the system's temperature is below the critical temperature, the quark-antiquark free energy can be taken as the quark-antiquark potential. This allows one to apply the quark-antiquark free energy to study hadron properties and hadron-hadron reactions in hadronic matter.
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  • [1] Wong C Y. Phys. Rev. C, 2005, 72: 034906[2] Rothkopf A, Hatsuda T, Sasaki S. Phys. Rev. Lett., 2012, 108: 162001[3] Burnier Y, Rothkopf A. Phys. Rev. Lett., 2013, 111: 182003[4] ZHANG Y P, XU X M, GE H J. Nucl. Phys. A, 2010, 832: 112[5] ZHOU J, XU X M. Phys. Rev. C, 2012, 85: 064904[6] Satz H. arXiv:hep-ph/0602245[7] Kaczmarek O, Zantow F. arXiv:hep-lat/0506019[8] McLerran L D, Svetitsky B. Phys. Lett. B, 1981, 98: 195; McLerran L D, Svetitsky B. Phys. Rev. D, 1981, 24: 450[9] Rothe H J. Lattice Gauge Theories: An Introduction. Singapore: World Scientific, 2005. 491[10] Wong C Y. Introduction to High-Energy Heavy-Ion Collisions. Singapore: World Scientific, 1994. 163[11] Karsch F, Laermann E, Peikert A. Nucl. Phys. B, 2001, 605: 579[12] Gupta S, LUO X, Mohanty B, Ritter H G, XU N. Science, 2011, 332: 1525[13] Lévai P, Müller B, WANG X N. Phys. Rev. C, 1995, 51: 3326; XU X M, Kharzeev D, Satz H, WANG X N. Phys. Rev. C, 1996, 53: 3051[14] XU X M, SHEN Z Y, YE Z C, XU W J. Phys. Rev. C, 2013, 87: 054904
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SHEN Zhen-Yu and XU Xiao-Ming. Relationship between quark-antiquark potential andquark-antiquark free energy in hadronic matter[J]. Chinese Physics C, 2015, 39(7): 074103. doi: 10.1088/1674-1137/39/7/074103
SHEN Zhen-Yu and XU Xiao-Ming. Relationship between quark-antiquark potential andquark-antiquark free energy in hadronic matter[J]. Chinese Physics C, 2015, 39(7): 074103.  doi: 10.1088/1674-1137/39/7/074103 shu
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Received: 2014-10-24
Revised: 2015-02-06
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Relationship between quark-antiquark potential andquark-antiquark free energy in hadronic matter

    Corresponding author: SHEN Zhen-Yu,

Abstract: In high-temperature quark-gluon plasma and its subsequent hadronic matter created in a high-energy nucleus-nucleus collision, the quark-antiquark potential depends on the temperature. The temperature-dependent potential is expected to be derived from the free energy obtained in lattice gauge theory calculations. This requires one to study the relationship between the quark-antiquark potential and the quark-antiquark free energy. When the system's temperature is above the critical temperature, the potential of a heavy quark and a heavy antiquark almost equals the free energy, but the potential of a light quark and a light antiquark, of a heavy quark and a light antiquark and of a light quark and a heavy antiquark is substantially larger than the free energy. When the system's temperature is below the critical temperature, the quark-antiquark free energy can be taken as the quark-antiquark potential. This allows one to apply the quark-antiquark free energy to study hadron properties and hadron-hadron reactions in hadronic matter.

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