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.

arXiv comment23 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 (25)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Mass spectra of doubly heavy baryons in the relativistic quark model
• Heavy baryons
• PREDICTING THE MASSES OF BARYONS CONTAINING ONE OR TWO HEAVY QUARKS
• Baryons with two heavy quarks
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• Charmed and Bottom Baryons from Lattice NRQCD
• Magnetic moments of heavy baryons in the relativistic three-quark model
• Charmed baryons in lattice QCD
• Semileptonic $B_c$ Decay and Heavy Quark Spin Symmetry
• Spectroscopy of doubly charmed baryons
• Spectroscopy of Doubly-Charmed Baryons in Lattice QCD
• Semileptonic decays of double heavy baryons
• Heavy-light Mesons and Baryons with b quarks
• Semileptonic decays of doubly heavy baryons in the relativistic quark model
• Spectra of Baryons Containing Two Heavy Quarks in Potential Model
• Baryon Magnetic Moments in Relativistic Quark Models
• Charmed and Bottom Baryons: a Variational Approach based on Heavy Quark Symmetry
• Combined nonrelativistic constituent quark model and heavy quark effective theory study of semileptonic decays of Λ_b and Ξ_b baryons
• Weak decays of doubly heavy hadrons
• The heavy baryons in the nonperturbative string approach
• Weak Semileptonic Decays of Heavy Baryons Containing Two Heavy Quarks

Cited by in corpus (85)

• Heavy Baryons in a Quark Model
• A review of the open charm and open bottom systems
• Charmed bottom baryon spectroscopy from lattice QCD
• Baryons with two heavy quarks: Masses, production, decays, and detection
• Spectrum of heavy baryons in the quark model
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Analysis of the ${\frac{1}{2}}^{+}$ doubly heavy baryon states with QCD sum rules
• Excited State Mass spectra of doubly heavy baryons ${\Omega }_{cc}$, ${\Omega }_{bb}$ and ${\Omega }_{bc}$
• Search for doubly charmed baryons and study of charmed strange baryons at Belle
• 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
• Spectroscopy of singly, doubly, and triply bottom baryons
• Semileptonic decays of double heavy baryons in a relativistic constituent three-quark model
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Doubly heavy baryons in a Salpeter model with AdS/QCD inspired potential
• Electromagnetic structure of charmed baryons in Lattice QCD
• 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
• Doubly heavy baryons at LHC
• Ground-State Masses and Magnetic Moments of Heavy Baryons
• Isospin splittings in baryons with two heavy quarks
• Establishing low-lying doubly charmed baryons
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• Magnetic Moments of Bottom Baryons: Effective mass and Screened Charge
• 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
• Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Magnetic moments of the spin-$\frac{3}{2}$ doubly heavy baryons
• Decay properties of singly charmed baryons
• Mass-spectra of singly, doubly, and triply bottom baryons
• Feasibility of measuring the magnetic dipole moments of the charm baryons at the LHC using bent crystals
• The radiative decays of the singly heavy baryons in chiral perturbation theory
• Magnetic moments of doubly heavy baryons in light-cone QCD
• Electromagnetic properties of doubly charmed baryons in Lattice QCD
• Hyperfine mixing in $b\to c$ semileptonic decay of doubly heavy baryons
• Bound state formation in the $DDK$ system
• 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
• Waves along fractal coastlines: From fractal arithmetic to wave equations
• Radiative M1 transitions of heavy baryons: Effective Quark Mass Scheme
• Magnetic moments of the spin-$\frac{1}{2}$ singly charmed baryons in chiral perturbation theory
• Strong decays of the 1P and 2D doubly charmed states
• The mass spectra and wave functions for the doubly heavy baryons with $J^P=1^{+}$ heavy diquark core
• Electromagnetic form factors of spin 1/2 doubly charmed baryons
• Symmetries and Systematics of Doubly Heavy Hadrons
• Strange baryons with two heavy quarks
• Hyperfine Mixing and the Semileptonic Decays of Double-Heavy Baryons in a Quark Model
• The Status of ${\Xi }_{cc}^{++}$ Baryon: investigating quark-diquark model
• Hyperfine mixing in electromagnetic decay of doubly heavy $bc$ baryons
• Quark-diquark structure and masses of doubly charmed baryons
• Semileptonic bc to cc Baryon Decay and Heavy Quark Spin Symmetry
• 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 ${\Omega }_{cc}$
• A suggested search for doubly charmed baryons of $J^P=3/2^{+}$ via their electromagnetic transitions
• Magnetic dipole moments of the spin-$\frac{3}{2}$ doubly heavy baryons
• $b$-hadron spectroscopy study based on the similarity of double bottom baryon and bottom meson
• Weak decays of ${\bar{B}}_s$ mesons
• 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
• Analysis of the doubly heavy baryons in the nuclear matter with the QCD sum rules
• Diagonal and transition magnetic moments of negative parity heavy baryons in QCD sum rules
• Spin-$\frac{3}{2}$ doubly charmed baryon contribution to the magnetic moments of the spin-$\frac{1}{2}$ doubly charmed baryons
• 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
• Production of double charmed baryons with the excited heavy diquark at LHC
• Spectroscopic Study of ${\Omega }_{cc}$, ${\Omega }_{cb}$ and ${\Omega }_{bb}$ Baryons
• The ${\Omega }_{cc}$ resonances with negative parity in the chiral constituent quark model
• Pair $(bc)$ diquarks production in high energy proton--proton collisions
• Mass spectra, wave functions and mixing effects of the $(bcq)$ baryon
• Analysis of the bottom-charm baryon states with QCD sum rules
• Electromagnetic Structure of Spin-$\frac{1}{2}$ Doubly Charmed Baryons in Lattice QCD
• Transition properties of Doubly Heavy Baryons
• Study of Electromagnetic Properties of Light Baryons in the Hypercentral Approach
• The role of hyperfine mixing in $b\to c$ semileptonic decays of doubly-heavy baryons
• 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
• Semileptonic bc to cc and bb to bc Baryon Decays and Heavy Quark Spin Symmetry