Twist-2 distribution amplitudes of $a_{0}(980)$ and $a_{0}(1450)$

TL;DR

This paper calculates the twist-2 distribution amplitudes of scalar mesons $a_{0}(980)$ and $a_{0}(1450)$ using QCD sum rules, providing insights into their quark structure and transition form factors.

Contribution

It determines the moments and Gegenbauer coefficients of the mesons' distribution amplitudes, supporting the two-quark model for $a_{0}(980)$ and analyzing relevant transition form factors.

Findings

$a_{0}(980)$ favors a two-quark ground state

Calculated moments up to third order using QCD sum rules

Analyzed transition form factors for $B/D ightarrow a_{0}$

Abstract

We investigate the twist-2 distribution amplitudes of the scalar mesons $a_{0}(980)$ and $a_{0}(1450)$ in the two-quark picture. The moments of these scalar mesons are obtained up to the third order with QCD sum rules method. With these moments, the first two Gegenbauer coefficients are determined and utilized to analyze the twist-2 distribution amplitudes. Our numerical results indicate that the meson $a_{0}(980)$ favors a conventional two-quark ground state. The paper concludes with an examination of the form factors for the transitions $B/D\rightarrow a_{0}$.