Electromagnetic splittings for hadrons with dressed constituent quarks

Silvestre‐Brac, B.; Semay, Claude; Brau, Fabian

doi:10.1007/978-3-642-18801-5_16

Cited by 3 publications

(7 citation statements)

References 10 publications

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“…The resulting dynamical equation is known as a spinless Salpeter equation. It has several advantages as compared to the Schrödinger equation [5,6] and the corresponding numerical algorithms are now well under control (see for instance [4,[6][7][8][9]). This kind of models and NRQM both use potentials, and are called potential models.…”

Section: Introductionmentioning

confidence: 99%

“…In order to see the sensitivity of the results on the treatment of the strong interactions for the quark dynamics, we investigate the splitting produced with two types of wave function, one resulting from a phenomenological nonrelativistic Hamiltonian (AL1) [29,30] and other with a semi-relativistic Hamiltonian (called here BSS) [18]. Moreover, since our aim is to consider mesons and baryons on equal footing, it is important to consider interquark potentials that lead to a correct description of both sectors.…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic splitting for mesons and baryons using dressed constituent quarks

Silvestre‐Brac

Brau

Semay

2003

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

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Electromagnetic splittings for mesons and baryons are calculated in a formalism where the constituent quarks are considered as dressed quasiparticles. The electromagnetic interaction, which contains coulomb, contact and hyperfine terms, is folded with the quark electrical density. Two different types of strong potentials are considered. Numerical treatment is done very carefully and several approximations are discussed in detail. Our model contains only one free parameter and the agreement with experimental data is reasonable although it seems very difficult to obtain a perfect description in any case.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electromagnetic splitting for mesons and baryons using dressed constituent quarks

Silvestre‐Brac

Brau

Semay

2003

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

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“…The parameters for the potentials are gathered in table (1). The meson spectra obtained with these potentials are rather good and have been presented elsewhere [18]. It is important to stress that they also give quite good results in the baryon sector; so we have some confidence that they describe the quark dynamics in a meson in a rather satisfactory way.…”

Section: The Potentialsmentioning

confidence: 86%

“…In this paper we will consider three different types of potential, the so-called Bhaduri's (BD) potential [17], AL1 and AP1 potentials [18]. For the purpose of our analysis, it is not necessary to introduce very sophisticated forms including spin-orbit, tensor forces, ...whose effects are not so important and which complicate quite a lot the formalism.…”

Section: The Potentialsmentioning

confidence: 99%

Radiative transitions in mesons in a non-relativistic quark model

Bonnaz¹,

Silvestre‐Brac²,

Gignoux³

2002

Eur Phys J A

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In the framework of the non relativistic quark model, an exhaustive study of radiative transitions in mesons is performed. The emphasis is put on several points. Some traditional approximations (long wave length limit, non relativistic phase space, dipole approximation for E1 transitions, gaussian wave functions) are analyzed in detail and their effects commented. A complete treatment using three different types of realistic quark-antiquark potential is made. The overall agreement with experimental data is quite good, but some improvements are suggested.

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“…The authors proposed a consistent scheme and used the same set of parameters for mesons and baryons. This model was refined later on by Silvestre-Brac and Semay [11] with interesting successes. However, the main problem arising with these models is the bad description of the radial excitations of mesons and baryons; this is due partly to the use of nonrelativistic kinematics [12].…”

Section: Introductionmentioning

confidence: 99%