Quark-meson coupling model for baryon wave functions and properties

Leonard, William J.; Gerace, William J.

doi:10.1103/physrevd.41.924

Cited by 17 publications

(12 citation statements)

References 44 publications

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“…Several works followed with estimations of µ Ω − [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29]. The Ω − electric quadrupole moment was also predicted [22,23,30,31,32,33,34,35,36,37,38,39,40], although there is no experimental result. Several works estimate the Ω − electromagnetic radius [11,15,21,22,37,38,39,41].…”

Section: ωmentioning

confidence: 99%

Relativistic quark model for theΩ−electromagnetic form factors

2009

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Section: ωmentioning

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Relativistic quark model for theΩ−electromagnetic form factors

2009

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“…Those form factors measure the deviation of the charge and magnetic dipole distribution from a symmetric form [5]. At Q 2 = 0 the form factors define the magnetic dipolemoments, where e is the electric charge and M ∆ the ∆ mass.Until recently, there were essentially only theoretical predictions for µ ∆ (see Ref.[6] for details) and Q ∆ [7,8,9,10,11,12,13,14]. The exception was the pioneering work in lattice QCD [15], where all the form factors were estimated for low Q 2 , although the statistics for G E2 and G M3 were very poor.…”

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“…[6] for details) and Q ∆ [7,8,9,10,11,12,13,14]. The exception was the pioneering work in lattice QCD [15], where all the form factors were estimated for low Q 2 , although the statistics for G E2 and G M3 were very poor.…”

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Electric quadrupole and magnetic octupole moments of the Δ

2009

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Using a covariant spectator constituent quark model we predict an electric quadrupole moment Q ∆ + = −0.043 efm 2 and a magnetic octupole moment O ∆ + = −0.0035 efm 3 for the ∆ + excited state of the nucleon.Although it was the first nucleon resonance to be discovered, the properties of the ∆ are almost completely unknown. Only the ∆ ++ and ∆ + magnetic moments have been measured, and these measurements have large error bars [1,2,3]. Most of the information we have about the ∆ comes from indirect information, such as the study of the γN → ∆ transition [4].The dominant ∆ elastic form factors are the electric charge G E0 and magnetic dipole G M1 . The subleading form factors are the electric quadrupole (G E2 ) and magnetic octupole (G M3 ). Those form factors measure the deviation of the charge and magnetic dipole distribution from a symmetric form [5]. At Q 2 = 0 the form factors define the magnetic dipolemoments, where e is the electric charge and M ∆ the ∆ mass.Until recently, there were essentially only theoretical predictions for µ ∆ (see Ref.[6] for details) and Q ∆ [7,8,9,10,11,12,13,14]. The exception was the pioneering work in lattice QCD [15], where all the form factors were estimated for low Q 2 , although the statistics for G E2 and G M3 were very poor.Recent lattice QCD calculations of all four form factors over a limited Q 2 range have revived interest in the ∆ moments, especially the interesting quadrupole and octupole moments [16,17]. These results are obtained only for unphysical pion masses in the range of 350-700 MeV so some extrapolation to the physical pion mass is required [18,19]. Still, in the absence of direct experimental information, lattice QCD provides the best reference for theoretical calculations. Stimulated by these new lattice results the covariant spectator quark model [6] and chiral Quark-Soliton model (χQSM) [20] have been used to estimate the ∆ form factors. Simultaneously, a lattice technique based on the background-field method [21] has been used to estimate the µ ∆ with great precision [22]. The octupole moment O ∆ has also been evaluated by Buchmann [5] using a deformed pion cloud model, and QCD sum rules (QCDSR) have been used to estimateThe size of the moments Q ∆ and O ∆ tells us if the ∆ is deformed, and in which direction. The nucleon, as a spin 1/2 particle, can have no electric quadrupole moment [24] [although the possibility remains, as pointed out by Buchmann and Henley [25], that it might be a collective state with an intrinsic quadrupole moment]. While the measurement of the quadrupole form factors for the γN → ∆ transition gives some information about the deformation of the ∆ [26], it is very important to obtain an independent estimate [17,27]. Motivated by these considerations, the Nicosia-MIT and the Adelaide groups are presently working on an evaluation of G M3 using lattice QCD [17,28]. Also Ledwig and collaborators are working in the same subject [20] using the χQSM.In this Letter we use the covariant spectator formalism [29] to evaluate Q ∆ and O ∆ . Foll...

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“…As a result, the tensor force induces a small violation of Becchi-Morpurgo selection rule [2] that the decay ∆ → Nγ is pure M1 transition, and also leads to non-vanishing electric quadrupole moments of the decuplet baryons. Following the simple calculation in the oscillator model which predicts measurable Ω − quadrupole moment [3], there are a number of publications concerning the quadrupole moments of the non-strange and strange decuplet baryons in various phenomenological models [4][5][6][7][8][9][10][11][12][13] and the results are highly model-dependent.…”

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Electric Quadrupole Moments of the Decuplet Baryons in the Skyrme Model

Oh¹

1995

Mod. Phys. Lett. A

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We calculate the electric quadrupole moments of the decuplet baryons in the bound state approach of the Skyrme model. In this approach, all the quadrupole moments of the decuplets are proportional to the third component of the baryon isospin. Contrary to the SU(3) collective model, the kaonic contribution is as important as the pionic one. The transitional quadrupole moments of the hyperons are also predicted.

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Quark-meson coupling model for baryon wave functions and properties

Cited by 17 publications

References 44 publications

Relativistic quark model for theΩ−electromagnetic form factors

Relativistic quark model for theΩ−electromagnetic form factors

Electric quadrupole and magnetic octupole moments of the Δ

Electric Quadrupole Moments of the Decuplet Baryons in the Skyrme Model

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