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.
Highlights
Charmed semileptonic decays are important for the study of open flavor hadron spectroscopy in general and heavy quark decay properties in particular
CLEO was the first to have studied the semileptonic decays of Ds → f0ð980Þeþνe [2,3] and recently, BESIII has reported branching fractions for the semileptonic decays of Dþ → f0ð980Þeþνe [4] suggesting that the internal structure of bound state of f0ð980Þ meson may not be the conventional quark-antiquark pair
We investigated the transition form factors, branching fractions, and other physical observables such as forward backward asymmetry and lepton polarization
Summary
Charmed semileptonic decays are important for the study of open flavor hadron spectroscopy in general and heavy quark decay properties in particular. CLEO was the first to have studied the semileptonic decays of Ds → f0ð980Þeþνe [2,3] and recently, BESIII has reported branching fractions for the semileptonic decays of Dþ → f0ð980Þeþνe [4] suggesting that the internal structure of bound state of f0ð980Þ meson may not be the conventional quark-antiquark pair. Cheng et al studied the transition form factors and semileptonic branching fractions for the channel D → a0ð980Þ in the light cone sum rule approach where they considered a0ð980Þ to be the conventional quark-antiquark state [57].
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