Mott dissociation of pions and kaons in hot, dense quark matter
Mott dissociation of pions and kaons in hot, dense quark matter
复制标题
DOI：
10.1103/physrevd.96.094008
复制
发表时间：
2016-08
影响因子：
5
通讯作者：
D. Blaschke;A. Dubinin;A. Radzhabov;A. Wergieluk
中科院分区：
文献类型：
--
作者：
D. Blaschke;A. Dubinin;A. Radzhabov;A. Wergieluk
我们在基于 PNJL 模型的 Beth-Uhlenbeck 方法中描述了 π 介子和 ka 介子的莫特解离，该方法允许对束缚态、共振态和散射态进行统一描述。在此模型中，我们评估 $N_f=2+1$ 夸克风味的赝标量和标量等矢量介子通道中相移的温度和化学势相关修改。我们证明，根据莱文森定理，莫特转变温度下连续统中的赝标量束缚态到共振的特征变化是通过阈值处的相移从 $\pi$ 跳跃到零来表示的。特别是，我们证明了考虑散射连续态的重要性，这确保了每个介子通道中的总相移在高能量下消失，从而消除了高温下热力学中的介子相关性。通过这种方式，我们证明本方法提供了从介子气体到夸克-胶子等离子体的转变的统一描述。我们讨论了由具有不等质量的夸克组成的介子的反常模式的发生，这种模式在有限密度的 $K^+$ 和 $\kappa^+$ 状态下尤其明显，这是解释重离子碰撞中 $K^+/\pi^+$ 比率的“喇叭”效应的可能机制。
We describe the Mott dissociation of pions and kaons within a Beth-Uhlenbeck approach based on the PNJL model, which allows for a unified description of bound, resonant and scattering states. Within this model we evaluate the temperature and chemical potential dependent modification of the phase shifts both in the pseudoscalar and scalar isovector meson channels for $N_f=2+1$ quark flavors. We show that the character change of the pseudoscalar bound states to resonances in the continuum at the Mott transition temperature is signaled by a jump of the phase shift at the threshold from $\pi$ to zero, in accordance with the Levinson theorem. In particular, we demonstrate the importance of accounting for the scattering continuum states, which ensures that the total phase shift in each of the meson channels vanishes at high energies, thus eliminating mesonic correlations from the thermodynamics at high temperatures. In this way, we prove that the present approach provides a unified description of the transition from a meson gas to a quark-gluon plasma. We discuss the occurrence of an anomalous mode for mesons composed of quarks with unequal masses which is particularly pronounced for $K^+$ and $\kappa^+$ states at finite densities a a possible mechanism to explain the "horn" effect for the $K^+/\pi^+$ ratio in heavy-ion collisions.