arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0706.4012hep-ph
收藏

解除禁闭后介子的存在性

Existence of mesons after deconfinement

F. Brau, F. Buisseret

摘要:

我们研究了夸克-反夸克对在高于临界温度($T>T_c$)的温度下形成束缚态的可能性。我们的主要目标是找到限制这种介子存在的分析标准。我们的形式依赖于薛定谔方程,我们研究了使用自由能和内能作为势项的物理后果,假设自由能采用广泛接受的温度相关汤川形式,以及最近提出的非微扰形式。屏蔽质量。我们表明,使用的自由能只允许1 S bottomonium被绑定以上$T_c$,与周围的$1.5\times T_c$的解离温度。的情况是非常不同的内能,在那里我们表明,没有束缚态可以存在于所有的退禁闭阶段。但是,在最后一种情况下,由于势中出现正势垒,准束缚态可以在更高的温度下出现。

英文摘要:

We investigate the possibility for a quark-antiquark pair to form a bound state at temperatures higher than the critical one ($T>T_c$), thus after deconfinement. Our main goal is to find analytical criteria constraining the existence of such mesons. Our formalism relies on a Schrödinger equation for which we study the physical consequences of both using the free energy and the internal energy as potential term, assuming a widely accepted temperature-dependent Yukawa form for the free energy and a recently proposed nonperturbative form for the screening mass. We show that using the free energy only allows for the 1S bottomonium to be bound above $T_c$, with a dissociation temperature around $1.5\times T_c$. The situation is very different with the internal energy, where we show that no bound states at all can exist in the deconfined phase. But, in this last case, quasi-bound states could be present at higher temperatures because of a positive barrier appearing in the potential.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑