Strong one-pion decay of $Σ_c$, $Σ_c^*$ and $Ξ_c^*$

Abstract

Working in the framework of a nonrelativistic quark model we evaluate the widths for the strong one-pion decays $Σ_c\toΛ_c π$, $Σ_c^*\toΛ_c π$ and $Ξ_c^{*}\toΞ_c π$. We take advantage of the constraints imposed by heavy quark symmetry to solve the three-body problem by means of a simple variational ansatz. We use partial conservation of the axial current hypothesis to get the strong vertices from weak axial current matrix elements. Our results are in good agreement with experimental data.