$D^{\ast }$ and $D_s^{\ast }$ distribution amplitudes from Bethe-Salpeter wave functions

Abstract

We report on the first calculation of the longitudinal and transverse light front distribution amplitudes of the $D^{\ast }$ and $D_s^{\ast }$ mesons and their first four moments. As a byproduct, we also obtain these distribution amplitudes for the $\rho$, $\varphi$, $K^{\ast }$ 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.

Comments: 7 pages, 4 figures, 3 tables, published in Physical Review D Letters with slight text modifications and one more reference