Spatial distributions in static heavy-light mesons: a comparison of quark models with lattice QCD

TL;DR

This paper compares lattice QCD measurements of spatial distributions in static heavy-light mesons with predictions from different quark models, finding strong agreement and providing insights into wave function relations.

Contribution

It demonstrates a remarkable match between lattice QCD data and quark model predictions for both ground and excited states, revealing new relations between models and QCD.

Findings

Agreement between lattice QCD and quark models up to 4/GeV

Extension of agreement to L=1 states

Insight into wave function relations beyond non-relativistic approximation

Abstract

Lattice measurements of spatial distributions of the light quark bilinear densities in static mesons allow to test directly and in detail the wave functions of quark models. These distributions are gauge invariant quantities directly related to the spatial distribution of wave functions. We make a detailed comparison of the recent lattice QCD results with our own quark models, formulated previously for quite different purposes. We find a striking agreement not only between our two quark models, but also with the lattice QCD data for the ground state in an important range of distances up to about 4/GeV. Moreover the agreement extends to the L=1 states [j^P=(1/2)^+]. An explanation of several particular features completely at odds with the non-relativistic approximation is provided. A rather direct, somewhat unexpected and of course approximate relation between wave functions of certain quark models and QCD has been established.