Erratum: Semileptonic decays of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>mesons into charmonium states in a relativistic quark model [Phys. Rev. D 71, 094006 (2005)]

Ivanov, Mikhail A.; Körner, J. G.; Santorelli, Pietro

doi:10.1103/physrevd.75.019901

Cited by 108 publications

(150 citation statements)

References 22 publications

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“…To proceed with the calculation we shall follow [38] and introduce the helicity components for the hadron and lepton tensor and rewrite the scalar of the expression of Eq. (25) as…”

Section: E Decay Widthmentioning

confidence: 99%

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Weak decays ofB¯smesons

Albertus

2014

Phys. Rev. D

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In the present work we study the semileptonic decays ofB s mesons in the context of nonrelativistic constituent quark models. We estimate the uncertainties of our calculation using different interquark potentials to obtain the meson wave functions. We check the results from our model against the predictions of Heavy Quark Symmetry, in the limit of infinite heavy quark mass. We also study the nonleptonic decays ofB s mesons within the factorization approximation.2

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“…To proceed with the calculation we shall follow [38] and introduce the helicity components for the hadron and lepton tensor and rewrite the scalar of the expression of Eq. (25) as…”

Section: E Decay Widthmentioning

confidence: 99%

“…III we give the form factor decomposition of the weak decay matrix elements and calculate the decay width, both for light (e, µ) and heavy (τ) charged lepton. We also work in the helicity formalism [38]. Besides, we study the implications of HQS in these decays.…”

Section: Introductionmentioning

confidence: 99%

Weak decays ofB¯smesons

Albertus

2014

Phys. Rev. D

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“…The differential decay rate of the B s meson to a K (K ( * ) or K ( * ) J ) meson can be expressed in the following form [30] …”

Section: Charmless Semileptonic B S Decaysmentioning

confidence: 99%

Charmless weakBsdecays in the relativistic quark model

Фаустов

Galkin

2013

Phys. Rev. D

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The form factors of the weak B s transitions to the ground state and orbitally excited strange mesons are calculated in the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. These form factors are expressed through the overlap integrals of meson wave functions found in their mass spectrum evaluations. The momentum dependence of the form factors is determined in the whole accessible kinematical range without any additional assumptions and extrapolations. Relativistic effects, including the wave function transformation from the rest to a moving reference frame as well as contributions of the intermediate negative-energy states, are consistently taken into account. The calculated form factors are used for the evaluation of the charmless semileptonic decay rates and two-body nonleptonic B s decays in the factorization approximation. The obtained results are confronted with previous predictions and available experimental data.

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“…The model has found numerous applications both in the meson sector [16] and in baryon physics [17]. In the latter case baryons are considered as relativistic systems composed of three quarks.…”

Section: Introductionmentioning

confidence: 99%

On the meson mass spectrum in the covariant confined quark model

Ganbold¹,

Gutsche²,

Ivanov³

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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We provide a new insight into the problem of generating the hadron mass spectrum in the framework of the covariant confined quark model. One of the underlying principles of this model is the compositeness condition which means that the wave function renormalization constant of the elementary hadron is equal to zero. In particular, this equation allows to express the Yukawa coupling of the meson fields to the constituent quarks as a function of other model parameters. In addition to the compositeness condition we also employ a further equation which relates the meson mass function to the Fermi coupling. Both equations guarantee that the Yukawa-type theory is equivalent to the Fermi-type theory thereby providing an interpretation of the meson field as the bound state of its constituent fermions (quarks). We evaluate the Fermi-coupling as a function of meson (pseudoscalar and vector) masses and vary the values of the masses in such a way to obtain a smooth behavior for the resulting curve. The mass spectrum obtained in this manner is found to be in good agreement with the experimental data. We also compare the behavior of our Fermi-coupling with the strong QCD coupling αs calculated in an QCD-inspired approach.PACS numbers: 12.39. Ki,13.30.Eg,14.20.Jn,14.20.Mr Keywords: relativistic quark model, light and heavy mesons, mass spectrum and decay constants I IntroductionOne of the puzzles of hadron physics is the origin of the hadron masses. The Standard Model (SM) and, in particular, quantum chromodynamics (QCD) operate only with fundamental particles (quarks, leptons, neutrinos), gauge bosons and the Higgs. It is not yet clear how to explain the appearance of the multitude of observed hadrons and elucidate the generation of their masses. Therefore, the calculation of the hadron mass spectrum in a quality comparable to the precision of experimental data still remains one of the major problems in QCD.Actually, even before QCD was set up as the fundamental theory of strong interactions, it was understood that it is a difficult problem to describe a composite particle within quantum field theory as based on the relativistic S-matrix. The reason is that quantum field theory operates with free fields which are quantized by imposing commutator (anticommutator) relations between creation and annihilation operators. The asymptotic in-and out-states are constructed by means of these operators acting on the vacuum state. Physical processes are described by the elements of the Smatrix taken for the relevant in-and out-states. In perturbation theory, which originally has a mathematical meaning, the matrix elements are represented by a set of the Feynman diagrams which are the convolution of free Green functions (or propagators). The original Lagrangian describing free fields and their interactions requires renormalization, i.e. the transition from bare or unrenormalized quantities like mass, wave function, coupling constant to the physical or renormalized ones. In particular, the bare field is related to the dressed one by the ...

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Erratum: Semileptonic decays ofBcmesons into charmonium states in a relativistic quark model [Phys. Rev. D 71, 094006 (2005)]

Cited by 108 publications

References 22 publications

Weak decays ofB¯smesons

Weak decays ofB¯smesons

Charmless weakBsdecays in the relativistic quark model

On the meson mass spectrum in the covariant confined quark model

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