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Based on lattice nonrelativistic 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 48³×12 lattices generated using the Highly Improved Staggered Quark action and with a pion mass of 161 MeV. At zero temperature, the Bethe-Salpeter amplitudes follow the expectations based on nonrelativistic potential models. At nonzero 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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Larsen et al. (2020) studied this question.
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