Semileptonic Decays of Charmed Mesons to Light Scalar Mesons

Abstract

Within the framework of covariant confined quark model, we compute the transition form factors of $D$ and $D_s$ mesons decaying to light scalar mesons $f_0(980)$ and $a_0(980)$. The transition form factors are then utilized to compute the semileptonic branching fractions. We study the channels namely, $D_{(s)}^{+}\to f_0(980){\ell }^{+}{\nu }_{\ell }$ and $D\to a_0(980){\ell }^{+}{\nu }_{\ell }$ for $\ell =e$ and $\mu$. For computation of semileptonic branching fractions, we consider the $a_0(980)$ meson to be the conventional quark-antiquark structure and the $f_0(980)$ meson as the admixture of $s\bar{s}$ and light quark-antiquark pairs. Our findings are found to support the recent BESIII data.

18 pages, 3 figures