$D^*$ and $D^*_s$ distribution amplitudes from Bethe-Salpeter wave functions

TL;DR

This paper presents the first calculation of the distribution amplitudes for $D^*$ and $D^*_s$ mesons using Bethe-Salpeter wave functions, providing insights into their internal quark momentum distributions.

Contribution

It introduces a novel method to compute light front distribution amplitudes of heavy mesons from Bethe-Salpeter wave functions, including their moments and related mesons.

Findings

Distribution amplitudes for $D^*$ and $D^*_s$ are calculated for the first time.

The transverse distribution amplitude of the vector kaon is oblique, indicating strange quark carries more momentum.

Results confirm lattice QCD predictions for the vector kaon’s distribution amplitudes.

Abstract

We report on the first calculation of the longitudinal and transverse light front distribution amplitudes of the $D^*$ and $D^*_s$ mesons and their first four moments. As a byproduct, we also obtain these distribution amplitudes for the $\rho$, $\phi$, $K^*$ and $J/\Psi$ mesons and confirm a prediction of lattice QCD for the vector kaon: while the longitudinal distribution amplitude is almost symmetric, the transverse one is oblique implying that the strange quark carries more momentum.