English

Bethe-Salpeter amplitudes of Upsilons

High Energy Physics - Lattice 2021-01-04 v3 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Based on lattice non-relativistic QCD (NRQCD) studies we present results for Bethe-Salpeter amplitudes for Υ(1S)\Upsilon(1S), Υ(2S)\Upsilon(2S) and Υ(3S)\Upsilon(3S) in vacuum as well as in quark-gluon plasma. Our study is based on 2+1 flavor 483×1248^3 \times 12 lattices generated using the Highly Improved Staggered Quark (HISQ) action and with a pion mass of 161161 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.

Cite

@article{arxiv.2008.00100,
  title  = {Bethe-Salpeter amplitudes of Upsilons},
  author = {Rasmus Larsen and Stefan Meinel and Swagato Mukherjee and Peter Petreczky},
  journal= {arXiv preprint arXiv:2008.00100},
  year   = {2021}
}

Comments

RevTex, 10pages, 11 figures, minor changes, published version

R2 v1 2026-06-23T17:34:01.719Z