The Charge and Matter radial distributions of Heavy-Light mesons calculated on a lattice

TL;DR

This study measures the charge and matter radial distributions of heavy-light mesons with a static heavy quark on a lattice, revealing their spatial extent and normalization properties.

Contribution

It provides the first lattice QCD measurements of charge and matter distributions in heavy-light mesons with detailed fits and normalization analysis.

Findings

Charge distribution radius ~0.32 fm

Matter distribution radius ~0.24 fm

Total charge normalization ~1.30

Abstract

For a heavy-light meson with a static heavy quark, we can explore the light quark distribution. The charge and matter radial distributions of these heavy-light mesons are measured on a 16^3 * 24 lattice at beta=5.7 and a hopping parameter corresponding to a light quark mass about that of the strange quark. Both distributions can be well fitted up to 4 lattice spacings (r approx 0.7 fm) with the exponential form w_i^2(r), where w_i(r)=A exp(-r/r_i). For the charge(c) and matter(m) distributions r_c approx 0.32(2) fm and r_m approx 0.24(2) fm. We also discuss the normalisation of the total charge and matter integrated over all space, finding 1.30(5) and 0.4(1) respectively.