New results for thermal interquark bottomonium potentials using NRQCD from the HAL QCD method

TL;DR

This paper advances the calculation of thermal interquark bottomonium potentials using the HAL QCD method combined with NRQCD, employing FFT algorithms on anisotropic ensembles to explore both hadronic and plasma phases.

Contribution

It introduces an efficient FFT-based approach to compute bottomonium potentials at finite temperature within the HAL QCD framework using NRQCD.

Findings

Successful calculation of bottomonium potentials at various temperatures.

Application of FFT algorithms for efficient correlation function computation.

Analysis of potentials in both hadronic and plasma phases.

Abstract

We report progress in the calculation of the thermal interquark potential of bottomonium using the HAL QCD method applied to bottom quarks in the non-relativistic approximation (i.e. NRQCD). We exploit the fast Fourier transform algorithm, using a momentum space representation, to efficiently calculate NRQCD correlation functions of non-local mesonic S-wave states, and thus obtain the potential for temperatures in both the hadronic and plasma phases. This work was performed on our anisotropic 2+1 flavour ''Generation 2'' FASTSUM ensembles.