The breathing mode of nucleons and Δ-isobars in the Skyrme model

Hajduk, Ch.; Schwesinger, B.

doi:10.1016/0370-2693(84)90914-6

Cited by 65 publications

(40 citation statements)

References 11 publications

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“…Only the prediction for the Roper resonance (|N, 1 ) is a bit on the low side when compared to the empirical Breit-Wigner mass but agrees reasonably well with the estimated pole position of that resonance. This is common for the breathing mode approach in soliton models [30,31]. For other nucleon (and ∆) resonances the discrepancy between the Breit-Wigner mass and the pole position is much smaller, of the order of 20MeV or less [34].…”

Section: A Ordinary Baryons and Their Monopole Excitationsmentioning

confidence: 99%

Exotic baryons and monopole excitations in a chiral soliton model

Weigel

2004

Eur. Phys. J. A

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Section: A Ordinary Baryons and Their Monopole Excitationsmentioning

confidence: 99%

Exotic baryons and monopole excitations in a chiral soliton model

Weigel

2004

Eur. Phys. J. A

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“…While A(t) again describes the flavor orientation of the hedgehog, the collective coordinate µ(t) is introduced to describe radial excitations [127]. Commonly this degree of freedom it is referred to as the breathing mode.…”

Section: Radial Excitationsmentioning

confidence: 99%

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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“…In particular, the lowest N * resonance, P 11 at a mass of about 1400 MeV (Roper resonance), has been discussed controversially in many different models, such as the constituent quark model [1,2], the Skyrmion model [3], and bag models [4], being of hybrid structure [5], or generated by a strong σ -N coupling [6]. Recent calculations in lattice QCD [7] have shown that the mass of the lowest P 11 is reproduced in quenched approximation, indicating that this resonance contains seizable valence quark contributions.…”

Section: Introductionmentioning

confidence: 99%

Structure of the breathing mode of the nucleon from high-energyp−pscattering

Morsch

Żuprański

2005

Phys. Rev. C

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Spectra of p-p and π -p scattering at beam momenta between 6 and 30 GeV/c have been reanalyzed. These show strong excitation of N * resonances, the strongest one corresponding to the "scalar" P 11 excitation (breathing mode) at m 0 = 1400 ± 10 MeV with = 200 ± 20 MeV. The result of a strong scalar excitation is supported by a large longitudinal amplitude S 1/2 extracted from e-p scattering. From exclusive data on p + p → ppπ + π − , a large 2π -N decay branch for the P 11 resonance of B 2π = 75 ± 20% has been extracted.The differential cross sections were described in a double-folding approach, assuming multigluon exchange as the dominant part of the effective interaction between the constituents of projectile and target. First, the parameters of the interaction were fitted to elastic scattering; then, with this interaction, the inelastic cross sections were described in the distorted wave Born approximation (DWBA). A good description of the data requires a surface peaked transition density, quite different from that of a pure radial mode. In contrast, the electron scattering amplitude S 1/2 is quite well described by a breathing mode transition density with radial node. This large difference between charge and matter transition densities suggests that in p-p scattering the coupling to the multigluon field is much more important than the coupling to the valence quarks. A multigluon (or sea-quark) transition density is derived, which also shows breathing, indicating a rather complex multiquark structure of N and N * including additional multigluon (or q 2nq 2n ) creation out of the ground state vacuum.

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The breathing mode of nucleons and Δ-isobars in the Skyrme model

Cited by 65 publications

References 11 publications

Exotic baryons and monopole excitations in a chiral soliton model

Exotic baryons and monopole excitations in a chiral soliton model

Baryons as Three-Flavor Solitons

Structure of the breathing mode of the nucleon from high-energyp−pscattering

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