Heavy baryon transitions in a relativistic three-quark model

Ivanov, Mikhail A.; Lyubovitskij, Valery E.; Körner, Jürgen; Kroll, P.

doi:10.1103/physrevd.56.348

Cited by 170 publications

(185 citation statements)

References 45 publications

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“…As concerns the vertex functions, we found a good description of various physical quantities [5,6,11,13] adopting a Gaussian form. Here we apply the same procedure using φ H (k 2 E ) = exp{−k 2 E /Λ 2 H } in the Euclidean region.…”

Section: The Compositeness Condition Readsmentioning

confidence: 96%

“…We employ the same values for the quark masses (see, Eq. (9)) as have been used previously for the description of light and heavy baryons [6,11]. We thus use …”

Section: The Compositeness Condition Readsmentioning

confidence: 99%

“…In the present paper we, however, choose a more phenomenological approach where the vertex functions are modelled by Gaussian forms and the quark propagators are given by local representations. We have demonstrated in our papers [6,11] that the relativistic constituent model is consistent with the heavy quark symmetry in the limit of infinite quark masses. We mention that the authors of [12] have developed a relativistic quark model approach for meson transitions which shows some similarities to our approach.…”

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confidence: 98%

“…For the heavy quarks we have used propagators appropriate for the heavy quark limit. Various observables describing semileptonic and nonleptonic decays as well as one-pion and one-photon transitions have been successfully described in this approach [11]. Recently, the RTQM was extended to include the effects of finite quark masses [13].…”

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confidence: 99%

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Semileptonic decays of double heavy baryons

et al. 2001

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We study the semileptonic decays of the lowest lying double heavy baryons using the relativistic three-quark model. We do not employ a heavy quark mass expansion but keep the masses of the heavy quarks and baryons finite. We calculate all relevant form factors and decay rates.Key words: Heavy baryons, semileptonic decays, relativistic quark models. PACS: 13.30.Ce, 12.39. Ki, 12.38.Lg, 14.20.Lq, 14.20.Mr The semileptonic decays of heavy mesons and baryons are ideally suited to extract the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. The heaviest flavored bottom-charm B c -meson was observed by the CDF Collaboration [1] in the analysis of the decay mode B c → J/ψlν. The discovery of the B c -meson raises hopes that double heavy flavored baryons will also be discovered in the near future. The theoretical treatment of the systems with two heavy quarks is complicated by the fact that one cannot make use of an expansion in terms of the inverse heavy quark masses. Previously, nonrelativistic potential models, diquark approximation, QCD sum rules and nonrelativistic QCD have been used to describe the spectroscopy of double heavy baryons and to estimate the inclusive and some exclusive decay modes of such systems (for review, see [2]-[4] and references therein).In [5] we have studied the semileptonic decays of the double heavy B c -meson within a relativistic constituent quark model. The relativistic constituent qu-

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Section: The Compositeness Condition Readsmentioning

confidence: 96%

“…We employ the same values for the quark masses (see, Eq. (9)) as have been used previously for the description of light and heavy baryons [6,11]. We thus use …”

Section: The Compositeness Condition Readsmentioning

confidence: 99%

mentioning

confidence: 98%

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confidence: 99%

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Semileptonic decays of double heavy baryons

et al. 2001

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“…Here we consistently employ the relativistic three-quark model (RQM) [6]- [8] to compute such matrix elements. The RQM was previously successfully applied for the study of properties of baryons containing light and heavy quarks [7]- [8]. The main advantages of this approach are: Lorentz and gauge invariance, a small number of parameters, and modelling of effects of strong interactions at large (∼ 1 fm) distances.…”

Section: Approachmentioning

confidence: 99%

Electromagnetic properties of nucleons and hyperons in a Lorentz covariant quark model

Faessler

Gutsche

Holstein

et al.

Proceedings of the IX International Conference on Hypernuclear and Strange Particle Physics

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Exclusive Rare Decays of B and Bc Mesons in a Relativistic Quark Model

Ivanov

Lyubovitskij

2004

Heavy Quark Physics

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In these lectures we give, first, the model-independent analysis of the exclusive rare decays B → Kll and Bc → D(D * )ll with special emphasis on the cascade decay Bc → D * (→ Dπ)ll. We derive a four-fold angular decay distribution for this process in terms of helicity amplitudes including lepton mass effects. The four-fold angular decay distribution allows to define a number of physical observables which are amenable to measurement. Second, we calculate the relevant form factors within a relativistic constituent quark model, for the first time without employing the impulse approximation. The calculated form factors are used to evaluate differential decay rates and polarization observables. We present results on a set of observables with and without long-distance contributions. and compare them with the results of other studies.

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Heavy baryon transitions in a relativistic three-quark model

Abstract: Exclusive semileptonic decays of bottom and charm baryons are considered within a relativistic three-quark model with a Gaussian shape for the baryon-three-quark vertex and standard quark propagators. We calculate the baryonic Isgur-Wise functions, decay rates and asymmetry parameters.

Cited by 170 publications

References 45 publications

Semileptonic decays of double heavy baryons

Semileptonic decays of double heavy baryons

Electromagnetic properties of nucleons and hyperons in a Lorentz covariant quark model

Exclusive Rare Decays of B and Bc Mesons in a Relativistic Quark Model

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