Potential model for the bottomonium

Abstract

We use a Euclidean propagator obtained from lattice simulations in Landau gauge to arrive at a potential model for the bottomonium. Following this non-relativistic approach, we then find the spectrum of the bottomonium numerically and compare it with the spectrum obtained using a Coulomb plus linear potential.

Review of bottomonium measurements from CMS

“…Theoretically, the quarkonium system has been thoroughly studied with potential models, [19][20][21][22][23][24][25] effective field theory approaches, 26,27 and lattice gauge theory calculations. 28,29 Large Hadron Collider (LHC) 30 with higher energy and intensity. The center-ofmass energy of the proton-proton (pp) collisions reached 13 TeV in 2015, which is about 7 times higher than that attained at the Tevatron (pp).…”

SU(2) Lattice Gluon Propagator and Potential Models

“…The results of this method are presented in Section 4 and we present our conclusions in Section 5. Preliminary results of our study were reported in [9].…”

Heavy-Quarkonium Potential from Lattice Gluon Propagator

“…Lastly, in order to convert the propagator in Eq. (21), which was obtained in Euclidean space, to Minkowski space, we undo the Wick rotation, taking δ µν → −g µν . We obtain 3…”