Weak radiative decay $\Lambda_{c}^{+}\to\Sigma^{+}\gamma$ using light-cone sum rules

Abstract

We calculate the decay width of the $\Lambda_{c}^{+}\to\Sigma^{+}\gamma$ using light-cone sum rules. For the initial quark radiation an effective Hamiltonian is constructed, where the internal quark line shrinks to a point. The final quark radiation is studied within the full theory. The leading twist light-cone distribution amplitudes of the $\Sigma^+$ serve as the non-perturbative input for the sum rules calculation, and the perturbative kernel is calculated at leading order. The branching fraction we obtain is ${\cal B}(\Lambda_{c}^{+}\to\Sigma^{+}\gamma)=1.03\pm 0.36 \times 10^{-4}$, which is below the recent upper limit $<2.6 \times 10^{-4}$ given by the Belle collaboration.