Study of the strong Σc→ Λc π, Σc*→ Λc π and Ξc*→ Ξc π decays in a nonrelativistic quark model

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We present results for the strong widths corresponding to the Σc→ Λc π, Σc*→ Λc π and Ξc*→ Ξc 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 Γ(Σc⁺⁺→ Λc+ π+)=2.41 ±0.07±0.02 MeV, Γ(Σc⁺→ Λc+ π⁰)=2.79 ±0.08±0.02 MeV, Γ(Σc⁰→ Λc+ π-)=2.37 ±0.07±0.02 MeV, Γ(Σc* ⁺⁺→ Λc+ π+)=17.52±0.74±0.12 MeV, Γ(Σc* ⁺→ Λc+ π⁰)=17.31±0.73±0.12 MeV, Γ(Σc* ⁰→ Λc+ π-)=16.90±0.71±0.12 MeV, Γ(Ξc* ⁺→ Ξc⁰ π++Ξc+π⁰)=3.18±0.10±0.01 MeV and Γ(Ξc* ⁰→ Ξc+ π-+Ξc⁰π⁰)=3.03±0.10±0.01 MeV are in good agreement with experimental determinations.