Strong one-pion decay of $\hat{I}{\pounds }_c$, $\hat{I}{\pounds }_c^{\ast }$ and $\hat{I}{ž}_c^{\ast }$

Abstract

Working in the framework of a nonrelativistic quark model we evaluate the widths for the strong one-pion decays $\hat{I}{\pounds }_c\to \hat{I}{›}_c\ddot{I}€$, $\hat{I}{\pounds }_c^{\ast }\to \hat{I}{›}_c\ddot{I}€$ and $\hat{I}{ž}_c^{\ast }\to \hat{I}{ž}_c\ddot{I}€$. 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.

3 latex pages. Contribution to the Proceedings of the Quark Confinement and the Hadron Spectrum VII Conference (QCHS7) Ponta Delgada (PT) Sept 2-7, 2006