Electromagnetic corrections to the hadronic phase shifts in low energy elastic scattering

Gashi, A.; Matsinos, E.; Oades, G.C.; Rasche, G.; Woolcock, W.S.

doi:10.1016/s0375-9474(00)00603-5

Cited by 17 publications

(73 citation statements)

References 9 publications

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“…In most cases, the values of GAK and Gashi et al [5,6] are in reasonable agreement. All of these methods give a significant (and very similar) correction to the charge exchange cross section at low energies due to the mass differences.…”

Section: Discussionsupporting

confidence: 61%

“…The difference between the point charge (pc) and full calculation of Gashi et al [5] is very small except for the s wave. The dotted curve represents a fit to the NORDITA results [10] to be used later and given in the appendix.…”

Section: Fig 1: Comparison Among the Different Methods For πmentioning

confidence: 83%

“…It is seen that the potential methods are in reasonable agreement. The point Coulomb result of Gashi et al [5] included no higher order electromagnetic effects whereas the full calculation included a finite charge distribution as well. Since the corrections from GAK included a finite charge density but no no higher order electromagnetic effects, there is no exact comparison possible.…”

Section: Fig 1: Comparison Among the Different Methods For πmentioning

confidence: 99%

“…Corrections for these effects have been reported using a potential model for their calculation [5,6,7] based on pioneering work by Oades and Rache [8]. In addition, an analysis was made [1] (hereafter referred to as GAK) in which the potential method corrections were incorporated into the fit itself.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Minimal electromagnetic and mass difference corrections in πNscattering

Gibbs

Arceo

2005

Phys. Rev. C

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Section: Discussionsupporting

confidence: 61%

Section: Fig 1: Comparison Among the Different Methods For πmentioning

confidence: 83%

Section: Fig 1: Comparison Among the Different Methods For πmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Minimal electromagnetic and mass difference corrections in πNscattering

Gibbs

Arceo

2005

Phys. Rev. C

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“…Our PWAs are restricted to T ≤ 100 MeV, because the ETH model is expected to work better in the low-energy region and because our EM corrections [19,20] have been established only below 100 MeV. Regarding the former remark, the introduction of strong-interaction form factors in the Feynman graphs of the ETH model is unnecessary below 100 MeV and the contributions from graphs involving distant baryonic states -i.e., the higher baryon resonances with masses above 2 GeV -to the s-and p-wave amplitudes of the model are expected to be negligible.…”

Section: Similarities and Differences Between The Two Approachesmentioning

confidence: 99%

Systematic effects in the low-energy behavior of the current SAID solution for the pion-nucleon system

Matsinos

Rasche

2017

Int. J. Mod. Phys. E

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We investigate the description of the pion-nucleon experimental data at low energy (i.e., below pion laboratory kinetic energy of 100 MeV) on the basis of the current SAID solution (WI08). We demonstrate that, in a self-consistent analysis scheme, the scale factors of the fits based on the Arndt-Roper formula come out independent of the beam energy and 'cluster' around the expectation value of 1. We report systematic effects in the low-energy behavior of the WI08 solution. These effects indicate that at least one of the three following assumptions, underlying the WI08 analysis, does not hold, namely that: a) the bulk of the data is reliable, b) the electromagnetic effects are correctly accounted for, and c) the isospin invariance in the strong interactions of the πN system is valid.

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Improved description of the -scattering phenomenology at low energies in covariant baryon chiral perturbation theory

2013

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We present a novel analysis of the πN scattering amplitude in covariant baryon chiral perturbation theory up to O(p 3 ) within the extended-on-mass-shell renormalization scheme and including the ∆(1232) explicitly in the δ-counting. We take the hadronic phase shifts provided by partial wave analyses as basic experimental information to fix the low-energy constants. Subsequently, we study in detail the various observables and low-energy theorems related to the πN scattering amplitude. In particular, we discuss the results and chiral expansion of the phase shifts, the threshold coefficients, the Goldberger-Treiman relation, the pion-nucleon sigma term and the extrapolation onto the subthreshold region. The chiral representation of the amplitude in the theory with the ∆ presents a good convergence from very low energies in the subthreshold region up to energies well above threshold, leading also to a phenomenological description perfectly consistent with the one reported by the respective partial wave analyses and independent determinations. We conclude that a model-independent and systematic framework to analyze πN-scattering observables using directly experimental data shall be possible in covariant baryon chiral perturbation theory.

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Electromagnetic corrections to the hadronic phase shifts in low energy elastic scattering

Cited by 17 publications

References 9 publications

Minimal electromagnetic and mass difference corrections in πNscattering

Minimal electromagnetic and mass difference corrections in πNscattering

Systematic effects in the low-energy behavior of the current SAID solution for the pion-nucleon system

Improved description of the -scattering phenomenology at low energies in covariant baryon chiral perturbation theory

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