Eur. Phys. J. A (2007) 31: 691-694
https://doi.org/10.1140/epja/i2006-10242-2

QNP 2006

Doubly heavy-quark baryon spectroscopy and semileptonic decay

¹ 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

Received: 8 November 2006
Accepted: 15 November 2006
Published online: 12 March 2007

Abstract

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.