Doubly heavy-quark baryon spectroscopy and semileptonic decay
Departamento de Fısica Atómica, Molecular y Nuclear, Universidad de Granada, E-18071, Granada, Spain
2 Grupo de Fısica Nuclear, Departamento de Fısica Fundamental e IUFFyM, Facultad de Ciencias, E-37008, Salamanca, Spain
Accepted: 15 November 2006
Published online: 12 March 2007
Working in the framework of a nonrelativistic quark model we evaluate the spectra and semileptonic decay widths for the ground state of doubly heavy Ξ and Ω baryons. We solve the three-body problem using a variational ansatz made possible by the constraints imposed by heavy-quark spin symmetry. In order to check the dependence of our results on the inter-quark interaction, we have used five different quark-quark potentials which include Coulomb and hyperfine terms coming from one-gluon exchange, plus a confining term. Our results for the spectra are in good agreement with a previous calculation done using a Faddeev approach. For the semileptonic decay our results for the total decay widths are in good agreement with the ones obtained within a relativistic quark model in the quark-diquark approximation.
PACS: 12.39.Jh Nonrelativistic quark model – / 12.40.Yx Hadron mass models and calculations – / 13.30.Ce Leptonic, semileptonic, and radiative decays –
© Società Italiana di Fisica and Springer-Verlag, 2007