论文标题

夸克 - 格鲁隆等离子体中Quarkonia的一维复合潜力

One-dimensional complex potentials for quarkonia in a quark-gluon plasma

论文作者

Katz, Roland, Delorme, Stéphane, Gossiaux, Pol-Bernard

论文摘要

最近得出了Lindblad类型的主方程,以描述Quark-Gluon等离子体中Quarkonium状态的动力学。由于它们在三个维度上的完整分辨率非常具有挑战性,因此这些方程通常会降低为一个维度。这些方程式的主要成分是描述重夸克 - 易夸克对的结合及其与培养基的相互作用的复杂电位。在这项工作中,我们提出了一个一维复杂电位参数化的一维复杂电位,以最多繁殖两个关键特性 - 特征的温度依赖性质量及其衰减宽度 - 三维晶格QCD启发的潜力。计算它们的光谱分解以检查它们与主方程的积极性的兼容性。

Master equations of the Lindblad type have recently been derived to describe the dynamics of quarkonium states in the quark-gluon plasma. Because their full resolution in three dimensions is very challenging, the equations are often reduced to one dimension. The main ingredient of these equations is the complex potential that describes the binding of the heavy quark-antiquark pairs and their interactions with the medium. In this work, we propose a one-dimensional complex potential parameterized to reproduce at best two key properties -- the temperature-dependent masses of the eigenstates and their decay widths -- of a three-dimensional lattice QCD inspired potential. Their spectral decompositions are calculated to check their compatibility with the positivity of the master equations.

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