Heavy Baryon Specroscopy from the Lattice

Abstract

The results of an exploratory lattice study of heavy baryon spectroscopy are presented. We have computed the full spectrum of the eight baryons containing a single heavy quark, on a $24^3\times 48$ lattice at $\beta =6.2$, using an $O(a)$-improved fermion action. We discuss the lattice baryon operators and give a method for isolating the contributions of the spin doublets $(\Sigma ,{\Sigma }^{\ast })$, $({\Xi }^{\prime },{\Xi }^{\ast })$ and $(\Omega ,{\Omega }^{\ast })$ to the correlation function of the relevant operator. We compare our results with the available experimental data and find good agreement in both the charm and the beauty sectors, despite the long extrapolation in the heavy quark mass needed in the latter case. We also predict the masses of several undiscovered baryons. We compute the $Λ-\mbox{pseudoscalar meson}$ and $\Sigma -\Lambda$ mass splittings. Our results, which have errors in the range $10-30\%$, are in good agreement with the experimental numbers. For the ${\Sigma }^{\ast }-\Sigma$ mass splitting, we find results considerably smaller than the experimental values for both the charm and the beauty baryons, although in the latter case the experimental results are still preliminary. This is also the case for the lattice results for the hyperfine splitting for the heavy mesons.

31 pages LaTex, with postscript figures included

References in corpus (20)

• Heavy Quark Symmetry
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• On the Viability of Lattice Perturbation Theory
• Heavy baryons
• Gauge-Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
• Observation of a Narrow State Decaying into ${\Xi }_c^{+}{\pi }^{-}$
• Quenched Heavy-Light Decay Constants
• The Light Hadron Spectrum and Decay Constants in Quenched Lattice QCD
• Mass sum rules for singly and doubly heavy-flavored hadrons
• Charmed Baryon Masses in Chiral Perturbation Theory
• Quenched Light Hadron Mass Spectrum and Decay Constants: the effects of $O(a)$-Improvement at $\beta =6.2$
• Charmed Baryons with $J=3/2$
• Baryon Mass Splittings in Chiral Perturbation Theory
• Heavy Quark Spectroscopy and Matrix Elements: A Lattice Study using the Static Approximation
• Measurement of the Omega_c Lifetime
• Progress in QCD Using Lattice Gauge Theory
• The Hyperfine Splitting in Charmonium: Lattice Computations Using the Wilson and Clover Fermion Actions
• Current Renormalisation Constants with an O(a)-improved Fermion Action
• Beautiful Baryons from Lattice QCD
• Heavy-light baryonic mass splittings from the lattice

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• Analysis of the ${\frac{3}{2}}^{+}$ heavy and doubly heavy baryon states with QCD sum rules
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• Spectroscopy of Doubly-Charmed Baryons in Lattice QCD
• Heavy-light Mesons and Baryons with b quarks
• Reanalysis of the heavy baryon states ${\Omega }_b$, ${\Omega }_c$, ${\Xi }_b^{\prime }$, ${\Xi }_c^{\prime }$, ${\Sigma }_b$ and ${\Sigma }_c$ with QCD sum rules
• Channel coupling in heavy quarkonia: energy levels, mixing, widths and new states
• Charmed and Bottom Baryons: a Variational Approach based on Heavy Quark Symmetry
• First Lattice Study of Semileptonic Decays of Lambda_b and Xi_b Baryons
• Description of the ${\Xi }_c$ and ${\Xi }_b$ states as molecular states
• Charmed baryon spectrum from lattice QCD near the physical point
• Heavy hadron spectroscopy and the bag model
• Combined nonrelativistic constituent quark model and heavy quark effective theory study of semileptonic decays of Λ_b and Ξ_b baryons
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• Meson and Baryon dispersion relations with Brillouin fermions
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• Excitations of single-beauty hadrons
• New quadratic baryon mass relations
• A Precision Measurement of the Lambda_c Baryon Mass
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• Baryon Electromagnetic Properties in Partially Quenched Heavy Hadron Chiral Perturbation Theory
• Charmed hadron spectroscopy on the lattice for $N_f=2+1$ flavours
• Effective field theory for double heavy baryons at strong coupling
• Spectrum of singly heavy baryons from a chiral effective theory of diquarks
• Baryon Masses in Partially Quenched Heavy Hadron Chiral Perturbation Theory
• Analysis of the Lambda_b -> Lambda_c + l nu_l decay within a light-front constituent quark model
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• Hyperfine effects in charmed baryons
• Heavy baryon spectrum on lattice with NRQCD bottom and HISQ lighter quarks
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• First Observation of Bottom Baryon Sigma_b States at CDF
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• Study on the ${\Omega }_c^0$ States Decaying to ${\Xi }_c^{+}{K}^{-}$ in $pp$ collisions at $\sqrt{s}=7$, 13 TeV
• Bottom hadron mass splittings in the static limit from 2+1 flavour lattice QCD
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• Quenched Chiral Perturbation Theory for Heavy Baryons
• Bottom-Hadron Mass Splittings from Static-Quark Action on 2+1-Flavor Lattices
• Diquark Representations for Singly Heavy Baryons with Light Staggered Quarks
• Analysis of the vertexes ${\Omega }_Q^{\ast }{\Omega }_Q^{\ast }\varphi$, ${\Omega }_Q^{\ast }{\Xi }_Q^{\ast }{K}^{\ast }$, ${\Xi }_Q^{\ast }{\Sigma }_Q^{\ast }{K}^{\ast }$ and ${\Sigma }_Q^{\ast }{\Sigma }_Q^{\ast }\rho$ with the light-cone QCD sum rules
• Charmed baryons from lattice QCD
• Heavy Quark Spin Symmetry and Heavy Baryons: Electroweak Decays