Role of correlated two-pion exchange in π<i>N</i>scattering

Schütz, C.; Durso, J.W.; Holinde, K.; Speth, J.

doi:10.1103/physrevc.49.2671

Cited by 103 publications

(166 citation statements)

References 14 publications

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“…(15). We conclude that unitarity only affects the determination of the ∆ ++ MDM within the error bars already determined by our non-unitary approximation.…”

Section: Discussionmentioning

confidence: 57%

“…A common mistake in some calculations [15] is to take the simplest form of the propagator for the ∆ ++ corresponding to A = −1 and, simultaneously, the vertex πN∆ for a different value of this parameter (for example A = −1/3). This inconsistency is also present in some determinations of the ∆ ++ MDM from A-dependent radiative π + p scattering amplitudes; For example, the relativistic models of Refs.…”

Section: Below) Decay Amplitudes Calculated From the A-dependentmentioning

confidence: 99%

“…For example, the coupling constants (g 2 ρ , g 2 πN N )/4π = (2.9, 14) were taken from the ρππ decays and the analysis of NN scattering data [15,27], whereas the magnetic ρNN coupling κ ρ = 3.7 was extracted from values of nucleon magnetic moments. The masses of the ρ meson and the nucleon were taken from [1], and the mass of the hypothetical σ meson was set to 650 MeV [15,27] (see the end of this section for other choices of this mass). Thus, the mass and width of the ∆ and the coupling constants Table 1.…”

Section: Elastic π + P Scattering: Fixing the Mass And Width Of The ∆mentioning

confidence: 99%

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Elastic and radiative π+p scattering and properties of the Δ++ resonance

Castro

Mariano

2002

Nuclear Physics A

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We study the ∆ ++ contributions to elastic and radiative π + p scattering within an effective Lagrangian model which incorporates the ∆, N, ρ and σ meson degrees of freedom. This model provides a description of the ∆ resonance and its interactions that respects electromagnetic gauge invariance and invariance under contact transformations when finite width effects are incorporated. Following recent developments in the description of unstable gauge bosons, we use a complex mass scheme to introduce the finite width of the ∆ ++ without spoiling gauge invariance. The total cross section of elastic π + p scattering, whose amplitude exhibits the resonant plus background structure of S-matrix theory, is used to fix the mass, width and strong coupling of the ∆ resonance. The differential cross section of elastic scattering is found in very good agreement with experimental data. The magnetic dipole moment of the ∆ ++ , µ ∆ , is left as the only adjustable parameter in radiative π + p scattering.From a fit to the most sensitive configurations for photon emission in this process, we obtain µ ∆ = (6.14 ± 0.51)e/2m p , in agreement with predictions based on the SU(6) quark model. 1

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“…(15). We conclude that unitarity only affects the determination of the ∆ ++ MDM within the error bars already determined by our non-unitary approximation.…”

Section: Discussionmentioning

confidence: 57%

Section: Below) Decay Amplitudes Calculated From the A-dependentmentioning

confidence: 99%

Section: Elastic π + P Scattering: Fixing the Mass And Width Of The ∆mentioning

confidence: 99%

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Elastic and radiative π+p scattering and properties of the Δ++ resonance

Castro

Mariano

2002

Nuclear Physics A

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“…5, has almost no t-dependence. Note that the analogous effective σ-mass for the πN system [5] is m σ = 0.55GeV.…”

Section: Effective Coupling Constantsmentioning

confidence: 99%

“…Since, unlike for the NN → 2π case (Ref. [5]), we cannot rely on quasiempirical information, we have to provide a field-theoretic model for the NN → KK amplitudes. Anyhow, such a dynamical model has definite advantages when medium modifications of the KN interaction are considered since it facilitates future investigation of not only possible medium effects due to changes in the kaon and nucleon propagators, but also in the NN → KK interaction itself.…”

Section: Microscopic Model For the Nn → Kk Processmentioning

confidence: 99%

Role of correlated two-pion exchange in K+N scattering

Hoffmann¹,

Durso²,

Holinde³

et al. 1995

Nuclear Physics A

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106

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A dynamical model for S-and P-wave correlated 2π (and KK) exchange between a kaon and a nucleon is presented, starting from corresponding NN → KK amplitudes in the pseudophysical region, which have been constructed from nucleon, ∆-isobar and hyperon (Λ, Σ) exchange Born terms and a realistic meson exchange model of the ππ → KK and KK → KK amplitude. The contribution in the s-channel is then obtained by performing a dispersion relation over the unitarity cut. In the ρ-channel, considerable ambiguities exist, depending on how the dispersion integral is performed. Our model, supplemented by short range interaction terms, is able to describe empirical K + N data below pion production threshold in a satisfactory way.

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