Mesonic excitations and π-π scattering lengths at finite temperature in the two-flavor Polyakov-Nambu-Jona-Lasinio model
Mesonic excitations and π-π scattering lengths at finite temperature in the two-flavor Polyakov-Nambu-Jona-Lasinio model
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DOI：
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发表时间：
2008-11
影响因子：
5
通讯作者：
Yong-Hui Qi;Y. Kuang;Bei-Jiang Liu;Bin Zhang
中科院分区：
文献类型：
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作者：
Yong-Hui Qi;Y. Kuang;Bei-Jiang Liu;Bin Zhang
在双味Polyakov-Nambu-Jona-Lasinio模型中，研究了有限温度下的介子激发和$S波$\ensuremath{\pi}\mathrm{\text{\ensuremath{-}}}\ensuremath{\pi}$散射长度。在具有两种形式Polyakov环有效势的PNJL模型中，计算了有限温度下的介子质量、介子质量、介子衰变常数、介子-夸克耦合强度以及散射长度。所得结果几乎与有效势的选择无关。将PNJL模型的计算结果与传统的Nambu-Jona-Lasinio模型的计算结果进行了比较，结果表明色约束的影响屏蔽了PNJL模型中温度低于临界温度的影响。进一步，将Goldberger-Treiman关系和Gell-Mann-Okers-Renner关系推广到PNJL模型中有限温度下的情形。
The mesonic excitations and $s$-wave $\ensuremath{\pi}\mathrm{\text{\ensuremath{-}}}\ensuremath{\pi}$ scattering lengths at finite temperature are studied in the two-flavor Polyakov--Nambu--Jona-Lasinio (PNJL) model. The masses of the $\ensuremath{\pi}$ and $\ensuremath{\sigma}$ mesons, pion-decay constant, the pion-quark coupling strength, and the scattering lengths ${a}_{0}$ and ${a}_{2}$ at finite temperature are calculated in the PNJL model with two forms of Polyakov-loop effective potential. The obtained results are almost independent of the choice of the effective potentials. The calculated results in the PNJL model are also compared with those in the conventional Nambu--Jona-Lasinio model and indicate that the effect of color confinement screens the effect of temperature below the critical one in the PNJL model. Furthermore, the Goldberger-Treiman relation and the Gell-Mann--Oakes--Renner relation are extended to the case at finite temperature in the PNJL model.