Study of the strong $Σ_c\to Λ_c π$, $Σ_c^{*}\to Λ_c π$ and $Ξ_c^{*}\to Ξ_c π$ decays in a nonrelativistic quark model

Abstract

We present results for the strong widths corresponding to the $Σ_c\to Λ_c π$, $Σ_c^{*}\to Λ_c π$ and $Ξ_c^{*}\to Ξ_c π$ decays. The calculations have been done in a nonrelativistic constituent quark model with wave functions that take advantage of the constraints imposed by heavy quark symmetry. Partial conservation of axial current hypothesis allows us to determine the strong vertices from an analysis of the axial current matrix elements. Our results \hbox{$Γ(Σ_c^{++}\to Λ_c^+ π^+)=2.41 \pm0.07\pm0.02 \mathrm{MeV}$}, {$Γ(Σ_c^{+}\to Λ_c^+ π^0)=2.79 \pm0.08\pm0.02 \mathrm{MeV}$}, {$Γ(Σ_c^{0}\to Λ_c^+ π^-)=2.37 \pm0.07\pm0.02 \mathrm{MeV}$}, {$Γ(Σ_c^{* ++}\to Λ_c^+ π^+)=17.52\pm0.74\pm0.12 \mathrm{MeV}$}, {$Γ(Σ_c^{* +}\to Λ_c^+ π^0)=17.31\pm0.73\pm0.12 \mathrm{MeV}$}, {$Γ(Σ_c^{* 0}\to Λ_c^+ π^-)=16.90\pm0.71\pm0.12 \mathrm{MeV}$}, {$Γ(Ξ_c^{* +}\to Ξ_c^0 π^++Ξ_c^+π^0)=3.18\pm0.10\pm0.01 \mathrm{MeV}$} and {$Γ(Ξ_c^{* 0}\to Ξ_c^+ π^-+Ξ_c^0π^0)=3.03\pm0.10\pm0.01 \mathrm{MeV}$} are in good agreement with experimental determinations.