2006/10/31 by C. Albertus, E. Hernández, E. Hernandez +3 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.1140/epja/i2007-10364-y
published as Eur.Phys.J.A32:183-199,2007; Erratum-ibid.A36:119,2008 · 23 latex pages, 7 figures, 11 tables. Corrected version according to the discussion in the erratum to be published in Eur. Phys. J. A. Eur. Phys. J. A 32, 183 (2007); erratum Eur. Phys. J. A in press, available as online first
openalex publication_date 2007/05/01 · arxiv created 2008/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We evaluate static properties and semileptonic decays for the ground state of doubly heavy Ξ, Ξ', Ξ^* and Ω, Ω', Ω^* 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 Ξ,Ξ'(J=1/2) and Ω, Ω'(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.