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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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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