P-wave Radial distributions of a Heavy-light meson on a lattice

TL;DR

This paper investigates the P-wave radial distributions in a heavy-light meson using lattice QCD, extending previous work on S-wave states, and finds qualitative agreement with Dirac equation predictions.

Contribution

It provides the first lattice QCD calculation of P-wave distributions in heavy-light mesons, complementing earlier S-wave studies and comparing results with Dirac equation models.

Findings

P-wave distributions qualitatively match Dirac equation expectations

Results support the static heavy quark approximation

Lattice data align with simple one-body models

Abstract

This is a follow-up to our earlier work for the charge (vector) and matter (scalar) distributions for S-wave states in a heavy-light meson, where the heavy quark is static and the light quark has a mass about that of the strange quark. The calculation is again carried out with dynamical fermions on a 16^3x24 lattice with a lattice spacing of about 0.14 fm. It is shown that several features of the S- and P-wave distributions are in qualitative agreement with what one expects from a simple one-body Dirac equation interpretation.