Study of form factors and branching ratios for $D\to S,Al\overline{{\nu }_l}$ with light-cone sum rules

Abstract

We systematically study the semileptonic decay process of $D\to S,Al\overline{{\nu }_l}(l=e,\mu )$ by light-cone sum rules (LCSR) with chiral currents, calculate the form factors containing only the contribution of the leading twist light-cone distribution amplitudes (LCDAs). For scalar mesons $a_0(980)$ and $a_0(1450)$, we take them as $q\bar{q}$ states. For axial-vector meson, we study $a_1(1260)(1^3{p}^1)$ and $b_1(1235)(1^1{p}^1)$. Based on the results of these form factors, we further present the branching ratios of these semileptonic decay processes. The numerical results for $D\to a_0(980),b_1(1235)l\overline{{\nu }_l}$ are in good agreement with experiments and that for $D\to a_0(1450)l\overline{{\nu }_l}$ process are expected to be tested experimentally in the future.

25 pages, 25 figures

Cited by in corpus (1)

• Hadronic three-body D decays mediated by scalar resonances