Electric Quadrupole Moments of the Decuplet Baryons in the Skyrme Model

Oh, Yongseok

doi:10.1142/s0217732395001137

Cited by 20 publications

(29 citation statements)

References 23 publications

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“…Actually this is similar to the situation for the quadrupole moments of the 3 2 + baryons. In the bound state approach these moments are found to be proportional to the isospin projection [23]. In the collective approach this proportionality only appears in the large symmetry breaking limit, while for small breaking the quadrupole moments happen to be linked to the baryon charge [24].…”

Section: Resultsmentioning

confidence: 93%

Radiative decays of hyperons in the Skyrme model: transitions ratios

Abada¹,

Weigel²,

Reinhardt³

1996

Physics Letters B

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We study the radiative decays of J π = 3 2 + baryons in the framework of the SU(3) collective approach to the Skyrme model. We present the predictions for the decay widths and the corresponding E2/M1 ratios. We find that all considered ratios are negative and of the order of a few percent only. We discuss the effects of flavor symmetry breaking and compare our results to those obtained in related models.PACS: 11.10Lm, 12.39Dc, 13.40HqKeywords: Skyrmion, Collective quantization, Radiative hyperon decays, E2/M1 ratios.---- † Supported by the Deutsche Forschungsgemeinschaft (DFG) under contract Re 856/2-2.

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Section: Resultsmentioning

confidence: 93%

Radiative decays of hyperons in the Skyrme model: transitions ratios

Abada¹,

Weigel²,

Reinhardt³

1996

Physics Letters B

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“…This statement is further supported by comparing the recent computations of the electric quadrupole moments of the 3 2 + baryons. In the bound state approach all these moments are found to be proportional to the baryon isospin [181]. In the collective approach this proportionality only appears in the large symmetry breaking limit, while for small breaking the quadrupole moments happen to be linked to the baryon charge [121], see also section 3.1.…”

Section: Comparison: Collective Approach Versus Bound State Approachmentioning

confidence: 86%

Baryons as Three-Flavor Solitons

Weigel

1996

Int. J. Mod. Phys. A

139

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The description of baryons as soliton solutions of effective meson theories for three flavor (up, down, strange) degrees of freedom is reviewed and the phenomenological implications are illuminated. In the collective approach the soliton configuration is equipped with baryon quantum numbers by canonical quantization of the coordinates describing the flavor orientation. The baryon spectrum resulting from exact diagonalization of the collective Hamiltonian is discussed. The prediction of static properties such as the baryon magnetic moments and the Cabibbo matrix elements for semi-leptonic hyperon decays are explored with regard to the influence of flavor symmetry breaking. In particular, the role of strange degrees of freedom in the nucleon is investigated for both the vector and axial-vector current matrix elements. The latter are discussed extensively within in the context of the proton spin puzzle. The influence of flavor symmetry breaking on the shape of the soliton is examined and observed to cause significant deviations from flavor covariant predictions on the baryon magnetic moments. Short range effects are incorporated by a chiral invariant inclusion of vector meson fields. These extensions are necessary to properly describe the singlet axial-vector current and the neutron proton mass difference. The effects of the vector meson excitations on baryon properties are also considered. The bound state description of hyperons and its generalization to baryons containing a heavy quark are illustrated. In the case of the Skyrme model a comparison is performed between the collective quantization scheme and bound state approach. Finally, the Nambu-Jona-Lasinio model is employed to demonstrate that hyperons can be described as solitons in a microscopic theory of the quark flavor dynamics. This is explained for both the collective and the bound state approaches to strangeness.2

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“…TABLE IV. Electric quadrupole moments of the baryon decuplet in comparison with the quark model [36], HBχPT [30], the Skyrme model [40], large Nc [34], the chiral quark model [38], the QCD sum rules [43,44]. Compared to the results of chiral perturbation theory [32] and the chiral quark-potential model [38], the present ones of the positively charged baryons are in good agreement with them, whereas those of the neutral baryons are rather different from each other.…”

Section: Charge Radii Magnetic Dipole Moments Magnetic Radii Anmentioning

confidence: 88%

Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Kim

2019

Eur. Phys. J. C

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We investigate the electromagnetic form factors of the baryon decuplet within the framework of the SU(3) self-consistent chiral quark-soliton model, taking into account the 1/Nc rotational corrections and the effects of flavor SU(3) symmetry breaking. We first examine the valence-and sea-quark contributions to each electromagnetic form factor of the baryon decuplet and then the effects of the flavor SU(3) symmetry breaking. The present results are in good agreement with the recent lattice data. We also compute the charge radii, the magnetic radii, the magnetic dipole moments and the electric quadrupole moments, comparing their results with those from other theoretical works. We also make a chiral extrapolation to compare the present results with the lattice data in a more quantitative manner. The results show in general similar tendency to the lattice results. In particular, the results of the M 1 and E2 form factors are in good agreement with those of lattice QCD.

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Electric Quadrupole Moments of the Decuplet Baryons in the Skyrme Model

Cited by 20 publications

References 23 publications

Radiative decays of hyperons in the Skyrme model: transitions ratios

Radiative decays of hyperons in the Skyrme model: transitions ratios

Baryons as Three-Flavor Solitons

Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

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