Static properties and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model

Details Static properties and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model Static properties and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model

2006-10-03

arxiv.org/abs/hep-ph/0610030v3

Eur.Phys.J.A32:183-199,2007; Erratum-ibid.A36:119,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 latex pages, 7 figures, 11 tables. Corrected version according to the discussion in the erratum to be published in Eur. Phy

Scientific paper

10.1140/epja/i2007-10364-y 10.11

We evaluate static properties and semileptonic decays for the ground state of doubly heavy $\Xi, \Xi', \Xi^*$ and $\Omega, \Omega', \Omega^*$ baryons. Working in the framework of a nonrelativistic quark model, we solve the three--body problem by means of a variational ansazt made possible by heavy quark spin symmetry constraints. To check the dependence of our results on the inter-quark interaction we use five different quark-quark potentials that include a confining term plus Coulomb and hyperfine terms coming from one--gluon exchange. Our results for static properties (masses, charge and mass radii, magnetic moments...) are, with a few exceptions for the magnetic moments, in good agreement with a previous Faddeev calculation. Our much simpler wave functions are used to evaluate semileptonic decays of doubly heavy $\Xi,\Xi'(J=1/2)$ and $\Omega, \Omega'(J=1/2)$ baryons. Our results for the decay widths are in good agreement with calculations done within a relativistic quark model in the quark--diquark approximation.

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