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arXiv 2008.00100hep-lathep-phnucl-th
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厄普塞隆的贝特-萨尔皮特振幅

Bethe-Salpeter amplitudes of Upsilons

Rasmus Larsen, Stefan Meinel, Swagato Mukherjee, Peter Petreczky

摘要:

基于晶格非相对论QCD(NRQCD)研究,我们给出了真空和夸克-胶子等离子体中$Υ(1S)$,$Υ(2S)$和$Υ(3S)$的Bethe-Salpeter振幅的结果.我们的研究是基于2+1味$48^3 \times 12$晶格产生的高度改进交错夸克(HISQ)的作用和与$161$ MeV的介子质量。在零温度下,Bethe-Salpeter振幅遵循基于非相对论势模型的预期。在非零温度下,Bethe-Salpeter振幅的解释变得更加微妙,但与我们之前对夸克-胶子等离子体中激发态Upsilon的格点量子色动力学研究一致。

英文摘要:

Based on lattice non-relativistic QCD (NRQCD) studies we present results for Bethe-Salpeter amplitudes for $Υ(1S)$, $Υ(2S)$ and $Υ(3S)$ in vacuum as well as in quark-gluon plasma. Our study is based on 2+1 flavor $48^3 \times 12$ lattices generated using the Highly Improved Staggered Quark (HISQ) action and with a pion mass of $161$ MeV. At zero temperature the Bethe-Salpeter amplitudes follow the expectations based on non-relativistic potential models. At non-zero temperatures, the interpretation of Bethe-Salpeter amplitudes turns out to be more nuanced, but consistent with our previous lattice QCD study of excited Upsilons in quark-gluon plasma.

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