用Cornell、Richardson和Pesperson势统计模型计算QGP强子的相结构
The phase structure of QGP-Hadron in a statistical model using Cornell, Richardson and Peshier potentials
摘要：
利用Ramanathan等提出的强子介质中QGP火球形成的统计模型，研究了QGP-强子系统在准静力平衡下的相结构。虽然在早期发表的研究中，我们已经使用的Pesperson有效的潜力，这是适当的退禁闭QGP阶段，但可以外推到过渡区从较高的动量制度，在本文中，我们研究了相同的系统使用康奈尔和理查森潜力，这是更相关的低动量约束制度，但可以再次外推到过渡区从下面。令人惊讶的是，这两种情况下的整体情况非常相似，只有微小的分歧（尽管Richardson势的结果与其他两种势存在相当大的偏差），从而表明模型的鲁棒性及其自洽性。在我们考虑的各种情况下，我们的数值结果与QGP-强子介质中声速随温度的变化有关，结果是，相变似乎是一个温和的翻转相，而不是一个尖锐的过渡的第一或第二阶，结果符合最近的晶格计算，但少得多的努力。
英文摘要：
We study the phase structure of the QGP-Hadron system under quasi-static equilibrium using the Ramanathan et al. statistical model for the QGP fireball formation in a hadronic medium. While in the earlier published studies we had used the Peshier effective potential which is appropriate for the deconfined QGP phase but could be extrapolated to the transition region from the higher momentum regime, in this paper we study the same system using the Cornell and Richardson potentials which are more relevant for the low momentum confinement regime, but could again be extrapolated to the transition region from below. Surprisingly, the overall picture in both the cases are quite similar with minor divergences,(though,the results with the Richardson potential shows a sizable deviation from the other two potentials), thus indicating the robustness of the model and its self-consistency. The result of our numerical results pertaining to the variation of the velocity of sound in the QGP-Hadron medium with temperature in the various scenarios considered by us, is that, the phase transition seems to be a gentle roll-over of phases rather than a sharp transition of either the first or second order, a result in conformity with recent lattice calculations, but with much less effort.
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