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首页> 美国政府科技报告 >Existence of Mesons After Deconfinement; Analysis rept
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Existence of Mesons After Deconfinement; Analysis rept

机译：解除限制后介子的存在;分析报告

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We investigate the possibility for a quark-antiquark pair to form a bound state at temperatures higher than the critical one ($T>T(underline)c$), thus after deconfinement. Our main goal is to find analytical criteria constraining the existence of such mesons. Our formalism relies on a Schrodinger 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 $T(underline)c$, with a dissociation temperature around $1.5 times T(underline)c$. 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.

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