Massive-quark baryons as skyrmions

Oh, Yongseok; Min, Dal‐Hee; Rho, Mannque; Scoccola, N. N.

doi:10.1016/0375-9474(91)90458-i

Cited by 110 publications

(136 citation statements)

References 19 publications

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“…We also compare our results to the ones obtained in Refs. [2,27,28,29,30,31] using different approaches 7 . The differences are large in some cases and sometimes even the signs are opposite.…”

Section: Magnetic Momentsmentioning

confidence: 99%

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

et al. 2007

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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.

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Section: Magnetic Momentsmentioning

confidence: 99%

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

et al. 2007

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“…Their predicted magnetic moments, with a jg a j ¼ 0.2, are consistent with ours within uncertainties. [20] Á Á Á 0.425 0.413 QM [9] −0.12 0.80 0.69 RQM [10] −0.10 0.86 0.72 Skyrmion [11] −0.47 0.98 0.59 NQM [12] −0.20 0.79 0.64 χCQM [13] 0.006 0.84 0.70 RTQM [14] 0.13 0.72 0.67 NRQM [15] −0.20 0.78 0.63 MIT bag model [16] 0.17 0.86 0.84 CLP [17] −0.154 0.778 0.657 EOMS BChPT Ã Á Á Á 0.392(13) 0.397 (15) …”

Section: Discussionmentioning

confidence: 99%

“…In the past, many phenomenological models have been used to study the magnetic moments of Ξ cc [9][10][11][12][13][14][15][16][17]. More recently, they have been calculated in heavy baryon chiral perturbation theory (HB ChPT) [18] and QCD sum rules [19].…”

Section: Introductionmentioning

confidence: 99%

Magnetic moments of the spin- 1/2 doubly charmed baryons in covariant baryon chiral perturbation theory

2018

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Inspired by the recent discovery of the Ξ þþ cc by the LHCb Collaboration, we study the magnetic moments of the spin-1=2 doubly charmed baryons up to the next-to-leading order in covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme. There are three low energy constants at this order: a 1 , a 2 , and g a . The latest lattice QCD simulations allow us to fix a combination of a 1 and a 2 , while the axial-vector coupling g a can be determined in three different ways: by fitting to the lattice QCD data, by the quark model, or by the heavy antiquark diquark symmetry. The magnetic moments of the spin-1=2 doubly charmed baryons, Ξ d cc and Ξ s cc , can then be predicted. We compare our results with those obtained in the heavy baryon chiral perturbation theory and other approaches, and point out some inconsistencies between the lattice QCD simulations and the quark model.

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“…This picture which was originally suggested for the strange hyperons has been shown to work successfully in describing the static properties of the heavy baryons with charm(c)-or bottom(b)-quark [6][7][8]. It is also extended to the study of the exotic pentaquark-baryons (P -baryons, in short) as the bound states of soliton and antiflavored heavy mesons [9].…”

Section: Introductionmentioning

confidence: 91%

Heavy quark symmetry and the Skyrme model

Park

Min

1994

Phys. Rev. D

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We present a consistent way of describing heavy baryons containing a heavy quark as bound states of an SU (2) soliton and heavy mesons. The resulting mass formula reveals the heavy quark symmetry explicitly. By extending the model to the orbitally excited states, we establish the generic structure of the heavy baryon spectrum. As anticipated from the heavy quark spin symmetry, the c-factor denoting the hyperfine splitting constant vanishes and the baryons with the same angular momentum of light degrees of freedom form degenerate doublets. This approach is also applied to the pentaquark exotic baryons, where the conventional c-factor plays no more a role of the hyperfine constant. After diagonalizing the Hamiltonian of order N −1 c , we get the degenerate doublets, which implies the vanishing of genuine hyperfine splitting.

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Massive-quark baryons as skyrmions

Cited by 110 publications

References 19 publications

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

Magnetic moments of the spin- 1/2 doubly charmed baryons in covariant baryon chiral perturbation theory

Heavy quark symmetry and the Skyrme model

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