The skyrme soliton in pion, vector- and scalar-meson fields: πN-scattering and photoproduction

Schwesinger, B.; Weigel, H.; Holzwarth, G.; Hayashi, A.

doi:10.1016/0370-1573(89)90022-7

Cited by 129 publications

(77 citation statements)

References 87 publications

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“…To estimate the effects of scalar mesons in a purely pseudoscalar model, we start from an Nℓσ model in which a scalar σ meson has been introduced as a dilaton [19], [41] [42]. This model contains two parameters, the glueball condensate C G ≃ (300MeV ) 4 [43] and the glueball mass m G ≃ 1200MeV leading to a scalar meson mass m σ = 1209MeV .…”

Section: Contributions From Scalar Mesonsmentioning

confidence: 99%

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Quantum corrections to baryon properties in chiral soliton models

Meier¹,

Walliser²

1997

Physics Reports

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Chiral lagrangians as effective field theories of QCD are successfully applied to meson physics at low energies in the framework of chiral perturbation theory. Because of their nonlinear structure these lagrangians allow for static soliton solutions which may be interpreted as baryons. Their semiclassical quantization, which provides the leading order in an 1/N C expansion (N C is the number of colors) turned out to be insufficient in many cases to obtain good agreement with empirical baryon observables. However with N C = 3, large corrections are expected in the next-to-leading order which is carried by pionic fluctuations around the soliton background. The calculation of these corrections requires renormalization to 1-loop of the underlying field theory. We present a procedure to calculate the 1-loop contributions for a variety of baryonic observables. In contrast to chiral perturbation theory, terms with an arbitrary number of gradients may in principle contribute and the restriction to low chiral orders can only be justified by the investigation of the scale independence of the results. The results generally give the right sign and magnitude to reduce the discrepancy between theory and experiment with one exception: the axial quantities. These suffer from the fact that the underlying current algebra mixes different N C orders, which suggests a large and positive next-to-next-to-leading order contribution, which is probably sufficient to close the gap to experiment.

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Section: Contributions From Scalar Mesonsmentioning

confidence: 99%

“…Such models [13] [15]- [19] have been quite sucessful in some respects (high-energy behaviour of pion-nucleon phaseshifts, formfactors).…”

Section: One-loop Corrections For Lagrangian With Explicit Vector Andmentioning

confidence: 99%

Quantum corrections to baryon properties in chiral soliton models

Meier¹,

Walliser²

1997

Physics Reports

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“…The third, the isovectorial E (+) 0 + -amplitude, finally, remained zero due to the adiabatic approximation to meson-soliton scattering adopted in [4,5,7]. In an N Ccounting scheme this amplitude is down by one order relative to the other isovectorial amplitude, because the nucleon mass M is O(N C ) and the pion mass m π is of order one.…”

Section: Introductionmentioning

confidence: 99%

“…Later, it was understood [5], that the zeroth order term in the pion mass entering the isovectorial E (−) 0 + -amplitude actually follows analytically. Further numerical investigations [6,7] have confirmed this and shown, that the slope of the E (0) 0 + -amplitude with respect to the pion mass is of the size required, although ref.…”

Section: Introductionmentioning

confidence: 99%

The low-energy theorem of pion photoproduction in soliton models of the nucleon

Schwesinger¹,

Walliser²

1994

Nuclear Physics A

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“…[8], once Eqs. (3.5) and (3.6) are written in terms of the Walker helicity amplitudes [24] A p , A n , B p , and B n , which are, respectively, proportional to the helicity amplitudes A p 1/2 , A n 1/2 , A p 1/2 , and A n 3/2 at each resonance given in the Review of Particle Properties [25].…”

mentioning

confidence: 99%

Pion photoproduction amplitude relations in the1/Ncexpansion

et al. 2005

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We derive expressions for pion photoproduction amplitudes in the 1/N c expansion of QCD, and obtain linear relations directly from this expansion that relate electromagnetic multipole amplitudes at all energies. The leading-order relations in 1/N c compare favorably with available data, while the next-to-leading order relations seem to provide only a small improvement. However, when resonance parameters are compared directly, the agreement at O(1/N c ) or O(1/N 2 c ) is impressive.

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The skyrme soliton in pion, vector- and scalar-meson fields: πN-scattering and photoproduction

Cited by 129 publications

References 87 publications

Quantum corrections to baryon properties in chiral soliton models

Quantum corrections to baryon properties in chiral soliton models

The low-energy theorem of pion photoproduction in soliton models of the nucleon

Pion photoproduction amplitude relations in the1/Ncexpansion

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