Baryon resonance as fluctuations of the skyrme soliton

Walliser, Hans; Eckart, G.

doi:10.1016/0375-9474(84)90695-x

Cited by 84 publications

(35 citation statements)

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“…Hence in these models resonance widths must be extracted from appropriate S-matrix elements of meson baryon scattering. Most of the studies on meson baryon scattering are restricted to the adiabatic approximation [25,26,27,28] which represents the next-to-leading order in the 1/N C expansion where N C is the number of colors. Unfortunately in the large-N C limit the ∆ is degenerate with the nucleon and its width is of even lower order in that expansion.…”

Section: A Hadronic Decays In Soliton Modelsmentioning

confidence: 99%

Bound-state versus collective-coordinate approaches in chiral soliton models and the width of the Θpentaquark

Walliser

Weigel

2005

Eur. Phys. J. A

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We thoroughly compare the bound state and rigid rotator approaches to three-flavored chiral solitons. We establish that these two approaches yield identical results for the baryon spectrum and kaon-nucleon S-matrix in the limit that the number of colors (N C ) tends to infinity. After proper subtraction of the background phase shift the bound state approach indeed exhibits a clear resonance behavior in the strangeness S = +1 channel. We present a first dynamical calculation of the widths of the Θ + and Θ * pentaquarks for finite N C in a chiral soliton model.

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Section: A Hadronic Decays In Soliton Modelsmentioning

confidence: 99%

Bound-state versus collective-coordinate approaches in chiral soliton models and the width of the Θpentaquark

Walliser

Weigel

2005

Eur. Phys. J. A

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“…In the next step the action is expanded up to quadratic order in η a in the background of the static soliton. From the solutions to the corresponding equations of motions the T -matrix elements, τ IY Kl ′ l for mesonsoliton scattering may be extracted [176,177]. The T -matrix is diagonal in the intrinsic isospin (I), hypercharge (Y ) and grand spin (K) (the latter represents the vector sum of total spin and isospin).…”

Section: Remarks On Meson Baryon Scatteringmentioning

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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“…One approach uses a particular soliton model to evaluate explicitly the reduced matrix elements and then to predict fully the physical scattering amplitudes. The detailed behavior of these amplitudes can then be used to predict values for baryon resonance observables [13,14]. Recently it was noted that Eq.…”

Section: Introductionmentioning

confidence: 99%

Pion-nucleon scattering relations at next-to-leading order in1/Nc

et al. 2004

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We obtain relations between partial-wave amplitudes for πN → πN and πN → π∆ directly from large Nc QCD. While linear relations among certain amplitudes holding at leading order (LO) in 1/Nc were derived in the context of chiral soliton models two decades ago, the present work employs a fully model-independent framework based on consistency with the large Nc expansion. At LO in 1/Nc we reproduce the soliton model results; however, this method allows for systematic corrections. At next-to-leading order (NLO), most relations require additional unknown functions beyond those appearing at LO and thus have little additional predictive power. However, three NLO relations for the πN → π∆ reaction are independent of unknown functions and make predictions accurate at this order. The amplitudes relevant to two of these relations were previously extracted from experiment. These relations describe experiment dramatically better than their LO counterparts.

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Baryon resonance as fluctuations of the skyrme soliton

Cited by 84 publications

References 1 publication

Bound-state versus collective-coordinate approaches in chiral soliton models and the width of the Θpentaquark

Bound-state versus collective-coordinate approaches in chiral soliton models and the width of the Θpentaquark

Baryons as Three-Flavor Solitons

Pion-nucleon scattering relations at next-to-leading order in1/Nc

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