Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses

Masahiro Ishii, Hiroaki Kouno, Masanobu Yahiro

研究成果: ジャーナルへの寄稿記事

7 引用 (Scopus)

抄録

We propose a practical effective model by introducing temperature (T) dependence to the coupling strengths of four-quark and six-quark Kobayashi-Maskawa-'t Hooft interactions in the 2+1 flavor Polyakov-loop extended Nambu-Jona-Lasinio model. The T dependence is determined from lattice QCD (LQCD) data on the renormalized chiral condensate around the pseudocritical temperature Tcχ of chiral crossover and the screening-mass difference between π and a0 mesons in T>1.1Tcχ where only the U(1)A-symmetry breaking survives. The model well reproduces LQCD data on screening masses Mξscr(T) for both pseudoscalar mesons (ξ=π,K,η,η′) and scalar ones (ξ=a0,κ,σ,f0), particularly in TTcχ. Using this effective model, we predict meson pole masses Mξpole(T) for scalar and pseudoscalar mesons. For η′ meson, the prediction is consistent with the experimental value at finite T measured in heavy-ion collisions. We point out that the relation Mξscr(T)-Mξpole(T)≈Mξ′scr(T)-Mξ′pole(T) is pretty good when ξ and ξ′ are the scalar mesons, and show that the relation Mξscr(T)/Mξ′scr(T)≈Mξpole(T)/Mξ′pole(T) is well satisfied within 20% error when ξ and ξ′ are the pseudoscalar mesons and also when ξ and ξ′ are the scalar mesons.

元の言語英語
記事番号114022
ジャーナルPhysical Review D
95
発行部数11
DOI
出版物ステータス出版済み - 6 1 2017

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poles
screening
mesons
quantum chromodynamics
temperature dependence
predictions
scalars
quarks
ionic collisions
condensates
broken symmetry
crossovers
temperature
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

これを引用

Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses. / Ishii, Masahiro; Kouno, Hiroaki; Yahiro, Masanobu.

:: Physical Review D, 巻 95, 番号 11, 114022, 01.06.2017.

研究成果: ジャーナルへの寄稿記事

Ishii, Masahiro ; Kouno, Hiroaki ; Yahiro, Masanobu. / Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses. :: Physical Review D. 2017 ; 巻 95, 番号 11.
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abstract = "We propose a practical effective model by introducing temperature (T) dependence to the coupling strengths of four-quark and six-quark Kobayashi-Maskawa-'t Hooft interactions in the 2+1 flavor Polyakov-loop extended Nambu-Jona-Lasinio model. The T dependence is determined from lattice QCD (LQCD) data on the renormalized chiral condensate around the pseudocritical temperature Tcχ of chiral crossover and the screening-mass difference between π and a0 mesons in T>1.1Tcχ where only the U(1)A-symmetry breaking survives. The model well reproduces LQCD data on screening masses Mξscr(T) for both pseudoscalar mesons (ξ=π,K,η,η′) and scalar ones (ξ=a0,κ,σ,f0), particularly in TTcχ. Using this effective model, we predict meson pole masses Mξpole(T) for scalar and pseudoscalar mesons. For η′ meson, the prediction is consistent with the experimental value at finite T measured in heavy-ion collisions. We point out that the relation Mξscr(T)-Mξpole(T)≈Mξ′scr(T)-Mξ′pole(T) is pretty good when ξ and ξ′ are the scalar mesons, and show that the relation Mξscr(T)/Mξ′scr(T)≈Mξpole(T)/Mξ′pole(T) is well satisfied within 20{\%} error when ξ and ξ′ are the pseudoscalar mesons and also when ξ and ξ′ are the scalar mesons.",
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AB - We propose a practical effective model by introducing temperature (T) dependence to the coupling strengths of four-quark and six-quark Kobayashi-Maskawa-'t Hooft interactions in the 2+1 flavor Polyakov-loop extended Nambu-Jona-Lasinio model. The T dependence is determined from lattice QCD (LQCD) data on the renormalized chiral condensate around the pseudocritical temperature Tcχ of chiral crossover and the screening-mass difference between π and a0 mesons in T>1.1Tcχ where only the U(1)A-symmetry breaking survives. The model well reproduces LQCD data on screening masses Mξscr(T) for both pseudoscalar mesons (ξ=π,K,η,η′) and scalar ones (ξ=a0,κ,σ,f0), particularly in TTcχ. Using this effective model, we predict meson pole masses Mξpole(T) for scalar and pseudoscalar mesons. For η′ meson, the prediction is consistent with the experimental value at finite T measured in heavy-ion collisions. We point out that the relation Mξscr(T)-Mξpole(T)≈Mξ′scr(T)-Mξ′pole(T) is pretty good when ξ and ξ′ are the scalar mesons, and show that the relation Mξscr(T)/Mξ′scr(T)≈Mξpole(T)/Mξ′pole(T) is well satisfied within 20% error when ξ and ξ′ are the pseudoscalar mesons and also when ξ and ξ′ are the scalar mesons.

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