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

TL;DR

This paper measures the radial distributions of charge and matter in heavy-light mesons using lattice QCD with dynamical fermions, providing insights into hadron structure and improving upon previous quenched approximations.

Contribution

It advances previous work by incorporating dynamical fermions, increasing data, measuring off-axis points, and analyzing excited states in radial distributions.

Findings

Distributions decay exponentially with meson masses of 0.9 and 1.5 GeV.

Results are consistent with vector and scalar q̄q states.

Enhanced data analysis includes excited state distributions.

Abstract

A knowledge of the radial distributions of quarks inside hadrons could lead to a better understanding of the QCD description of these hadrons and possibly suggest forms for phenomenological models. As a step in this direction, in an earlier work, the charge (vector) and matter (scalar) radial distributions of heavy-light mesons were measured in the quenched approximation on a 16^3x24 lattice with a lattice spacing of 'a' approx. 0.17 fm, and a hopping parameter corresponding to a light quark mass about that of the strange quark. Here several improvements are now made: 1) The configurations are generated using dynamical fermions with a approx 0.14 fm; 2) Many more gauge configurations areincluded; 3) The distributions at many off-axis, in addition to on-axis, points are measured; 4) The data analysis is much more complete. In particular, distributions involving excited states are extracted. The exponential decay of the charge and matter distributions can be described by mesons of mass 0.9 +- 0.1 and 1.5 +- 0.1 GeV respectively -- values that are consistent with those of vector and scalar $q\bar{q}$-states calculated directly with the same lattice parameters.