Semileptonic decays of charmed mesons to light scalar mesons
N. Soni, Akshay N. Gadaria, Janaki J. Patel, J. N. Pandya
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, ${D}_{(s)}^{+}\ensuremath{\rightarrow}{f}_{0}(980){\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ and $D\ensuremath{\rightarrow}{a}_{0}(980){\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ for $\ensuremath{\ell}=e$ and $\ensuremath{\mu}$. 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 $s\overline{s}$ and light quark-antiquark pairs. Our findings are found to support the recent BESIII data.