Bethe-Salpeter amplitudes of Upsilons
Abstract
Based on lattice non-relativistic QCD (NRQCD) studies we present results for Bethe-Salpeter amplitudes for (1S), (2S) and (3S) in vacuum as well as in quark-gluon plasma. Our study is based on 2+1 flavor 483 × 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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