Static baryon properties andSU(3) symmetry breaking effects in a relativistic quark model with linear potential

Eich, Eberhard; Rein, Dieter; Rodenberg, R.

doi:10.1007/bf01575727

Cited by 23 publications

(8 citation statements)

References 21 publications

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“…To obtain some feeling for the sensitivity of computed quantities to the model assumptions, we compare our predictions with the results of the original MIT model and with the experiment. Magnetic moments of the hadrons in the static spherical cavity approximation can be represented in the form [9] (see also [32]): Composition of baryon magnetic moments. The label l is used to collectively represent up and down quarks.…”

Section: Electroweak Propertiesmentioning

confidence: 99%

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Towards the unified description of light and heavy hadrons in the bag model approach

Bernotas

Šimonis

2004

Nuclear Physics A

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Mass spectra of ground state hadrons containing u-, d-, s-, c-quarks as well as some lightest hadrons containing b-quarks are calculated on the basis of a slightly modified bag model. The center-of-mass motion corrections are incorporated using a wavepacket projection with Gaussian parametrization of the distribution amplitude. We use running coupling constant and also allow the effective quark mass to be scale-dependent. The impact of these modifications on the hadron mass spectrum is investigated. A comparison of the predicted mass values with the experimental data demonstrates that the modified bag model is sufficiently flexible to provide a satisfactory description of light and heavy hadrons (mesons and baryons) in a single consistent framework.

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Section: Electroweak Propertiesmentioning

confidence: 99%

“…A similar approach to correct for the c.m.m. was used within the framework of the relativistic potential model [32,33,34,35].…”

Section: Introductionmentioning

confidence: 99%

Towards the unified description of light and heavy hadrons in the bag model approach

Bernotas

Šimonis

2004

Nuclear Physics A

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“…To study the decay constant of the pion core in the present model, we first calculate the pion decay matrix element F p from vacuum to pion momentum eigenstates defined by [12,18],…”

Section: Decay Constant Of the Pionmentioning

confidence: 99%

“…As an attempt in this direction, a scalar potential in linear form was used by Critchfield [11] to confine the relativistic independent quarks. Several authors have used various other potential forms like Coulomb (vector) plus linear (scalar) [12], scalar harmonic, and cubic [13] ones.…”

Section: Introductionmentioning

confidence: 99%

( q q ¯ ) -pion mass and decay constant in a relativistic independent-quark model

2009

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The mass and decay constant of the ðq" qÞ-pion together with the masses of r and u mesons are calculated in a chiral symmetric potential model of independent quarks, taking into account the corrections due to the possible residual interactions, such as quark-pion coupling arising out of the requirement of chiral symmetry and quark gluon coupling arising out of one-gluon-exchange, and that due to the spurious center-of-mass motion of the meson core. The effective potential representing phenomenologically the nonperturbative gluon interactions, including gluon self coupling, is chosen with equally mixed scalar and vector parts in a logarithmic form. The result obtained for the physical mass of ðq" qÞ-pion is consistent with that of the PCAC-pion, and the pion-decay constant reasonably agrees with experiment.PACS Nos: 12.40Aa, 12.40.Qq, 14.20.Dh Résumé : Nous calculons la masse et la constante de désintégration du système ðq" qÞ-pion, ainsi que les masses des mé-sons r et u dans un modèle avec potentiel à symétrie chirale pour quarks indépendants. Ce potentiel tient compte des corrections dues aux possibles interactions résiduelles comme le couplage quark-pion provenant de la symétrie chirale ou quark-gluon provenant des échanges à un gluon, ainsi que du mouvement parasite du centre de masse du coeur mésonique. Nous choisissons le potentiel effectif qui représente phénoménologiquement les interactions non perturbatives de gluons, incluant gluon-gluon, avec un mélange égal de parties scalaire et vecteur sous forme logarithmique. Le résultat obtenu pour la masse physique du système ðq" qÞ-pion est cohérente avec celle du PCAC-pion et la constante de désintégration agrée raisonnablement avec l'expérience.[Traduit par la Rédaction]

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“…Unless this aspect is duly accounted for, the concept of the independent motion of the quarks inside the meson core will not lead to a physical meson state of definite momentum. Although there is still some controversy on this subject, we follow the technique adapted by Bartelski et al 43 and Eich et al 44 which is just one way of accounting for the c.m. motion.…”

Section: Center-of-mass Correctionmentioning

confidence: 99%

M1 Transitions of Mesons in a Potential Model of Independent Quarks

Jena

Muni

Pattnaik³

et al. 2010

Int. J. Mod. Phys. A

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The decay widths for M1 transitions of mesons are calculated in a relativistic potential model of independent quarks with its parameters determined from a fit to the mass splittings of the ground state mesons in the strange, charm and bottom flavor sector. A more realistic calculation of the decay widths is performed beyond static approximation incorporating some momentum dependence due to recoil of the daughter meson. The model accounts well for the observed decay widths of light mesons and predicts decay rates of heavy mesons which are comparable with those of other model calculations.

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Static baryon properties andSU(3) symmetry breaking effects in a relativistic quark model with linear potential

Cited by 23 publications

References 21 publications

Towards the unified description of light and heavy hadrons in the bag model approach

Towards the unified description of light and heavy hadrons in the bag model approach

( q q ¯ ) -pion mass and decay constant in a relativistic independent-quark model

M1 Transitions of Mesons in a Potential Model of Independent Quarks

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