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

Abstract

We evaluate static properties and semileptonic decays for the ground state of doubly heavy $\Xi ,{\Xi }^{\prime },{\Xi }^{\ast }$ and $\Omega ,{\Omega }^{\prime },{\Omega }^{\ast }$ 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 $\Xi ,{\Xi }^{\prime }(J=1/2)$ and $\Omega ,{\Omega }^{\prime }(J=1/2)$ baryons. Our results for the decay widths are in good agreement with calculations done within a relativistic quark model in the quark--diquark approximation.

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

References in corpus (1)

• Magnetic moments of heavy baryons in the relativistic three-quark model

Cited by in corpus (46)

• Heavy Baryons in a Quark Model
• Charmed bottom baryon spectroscopy from lattice QCD
• Baryons with two heavy quarks: Masses, production, decays, and detection
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Excited State Mass spectra of doubly heavy baryons ${\Omega }_{cc}$, ${\Omega }_{bb}$ and ${\Omega }_{bc}$
• Strong and radiative decays of the doubly charmed baryons
• Analysis of the ${\frac{3}{2}}^{+}$ heavy and doubly heavy baryon states with QCD sum rules
• Excited state mass spectra of doubly heavy $\Xi$ baryons
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Doubly heavy baryons in a Salpeter model with AdS/QCD inspired potential
• Radiative decays of double heavy baryons in a relativistic constituent three-quark model including hyperfine mixing
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Magnetic moments of the doubly charmed and bottomed baryons
• Masses and magnetic moments of hadrons with one and two open heavy quarks: heavy baryons and tetraquarks
• Isospin splittings in baryons with two heavy quarks
• Establishing low-lying doubly charmed baryons
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• Doubly-Heavy Baryon Weak Decays: ${\Xi }_{bc}^0\to p{K}^{-}$ and ${\Xi }_{cc}^{+}\to {\Sigma }_c^{++}(2520)K^{-}$
• The Hydrogen Bond of QCD in Doubly Heavy Baryons and Tetraquarks
• The masses and axial currents of the doubly charmed baryons
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Mass-spectra of singly, doubly, and triply bottom baryons
• Search for the doubly heavy ${\Xi }_{bc}^0$ baryon via decays to $D^{0}p{K}^{-}$
• Heavy quark symmetry constraints on semileptonic form factors and decay widths of doubly heavy baryons
• Radiative M1 transitions of heavy baryons: Effective Quark Mass Scheme
• The Status of ${\Xi }_{cc}^{++}$ Baryon: investigating quark-diquark model
• Mass spectra of ${\Xi }_{cc}$, ${\Xi }_{bc}$, ${\Omega }_{cc}$, and ${\Omega }_{bc}$ baryons in Regge Phenomenology
• Effective QCD string and doubly heavy baryons
• Systematic analysis of doubly charmed baryons ${\Xi }_{cc}$ and ${\Omega }_{cc}$
• $b$-hadron spectroscopy study based on the similarity of double bottom baryon and bottom meson
• Determination of the strong vertices of doubly heavy baryons with pseudoscalar mesons in QCD
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Spin-$\frac{3}{2}$ doubly charmed baryon contribution to the magnetic moments of the spin-$\frac{1}{2}$ doubly charmed baryons
• Analysis of the doubly heavy baryons in the nuclear matter with the QCD sum rules
• Triply heavy tetraquark states: masses and other properties
• Test of the heavy quark-light diquark approximation for baryons with a heavy quark
• Magnetic moments of the spin-$\frac{3}{2}$ doubly charmed baryons in covariant baryon chiral perturbation theory
• Spectroscopic Study of ${\Omega }_{cc}$, ${\Omega }_{cb}$ and ${\Omega }_{bb}$ Baryons
• The ${\Omega }_{cc}$ resonances with negative parity in the chiral constituent quark model
• Mass spectra, wave functions and mixing effects of the $(bcq)$ baryon
• Analysis of the bottom-charm baryon states with QCD sum rules
• Transition properties of Doubly Heavy Baryons
• Electromagnetic Structure of Spin-$\frac{1}{2}$ Doubly Charmed Baryons in Lattice QCD
• Baryons and baryoniums in the perspective of QCD sum rules
• Chiral extrapolation of the doubly charmed baryons magnetic properties
• Heavy Quark Spin Symmetry and Heavy Baryons: Electroweak Decays