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

Details 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 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

2005-07-21

arxiv.org/abs/hep-ph/0507256v2

Phys.Rev. D72 (2005) 094022

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 latex pages. Shortened version accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.72.094022

We present results for the strong widths corresponding to the $\Sigma_c\to \Lambda_c \pi$, $\Sigma_c^{*}\to \Lambda_c \pi$ and $\Xi_c^{*}\to \Xi_c \pi$ 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{$\Gamma(\Sigma_c^{++}\to \Lambda_c^+ \pi^+)=2.41 \pm0.07\pm0.02 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{+}\to \Lambda_c^+ \pi^0)=2.79 \pm0.08\pm0.02 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{0}\to \Lambda_c^+ \pi^-)=2.37 \pm0.07\pm0.02 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{* ++}\to \Lambda_c^+ \pi^+)=17.52\pm0.74\pm0.12 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{* +}\to \Lambda_c^+ \pi^0)=17.31\pm0.73\pm0.12 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{* 0}\to \Lambda_c^+ \pi^-)=16.90\pm0.71\pm0.12 \mathrm{MeV}$}, {$\Gamma(\Xi_c^{* +}\to \Xi_c^0 \pi^++\Xi_c^+\pi^0)=3.18\pm0.10\pm0.01 \mathrm{MeV}$} and {$\Gamma(\Xi_c^{* 0}\to \Xi_c^+ \pi^-+\Xi_c^0\pi^0)=3.03\pm0.10\pm0.01 \mathrm{MeV}$} are in good agreement with experimental determinations.

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