Dispersion theory of proton Compton scattering in the first and second resonance regions

L’vov, A. I.; Petrun'kin, V.A.; Schumacher, M.

doi:10.1103/physrevc.55.359

Cited by 111 publications

(281 citation statements)

References 82 publications

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“…DRs have been proven to be a powerful tool to analyze RCS data [3,8,[24][25][26], as they allow us to minimize the model dependence using as input available experimental information from other processes. The dispersion calculation is performed in terms of six independent invariant amplitudes A i , i = 1, .…”

Section: Theoretical Frameworkmentioning

confidence: 99%

First extraction of the scalar proton dynamical polarizabilities from real Compton scattering data

2018

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We present the first attempt to extract the scalar dipole dynamical polarizabilities from proton real Compton scattering data below pion-production threshold. The theoretical framework combines dispersion relations technique, low-energy expansion, and multipole decomposition of the scattering amplitudes. The results are obtained with statistical tools that have never been applied so far to Compton scattering data and are crucial to overcome problems inherent to the analysis of the available data set.

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Section: Theoretical Frameworkmentioning

confidence: 99%

First extraction of the scalar proton dynamical polarizabilities from real Compton scattering data

2018

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“…We note that this form takes account of the correct energy behavior of the phase space near the three-body threshold [24]. The parameter X is fixed at 500 MeV as suggested in Ref.…”

Section: πN Scatteringmentioning

confidence: 99%

Excitation of S11 resonances in pion scattering and pion photoproduction on the proton

et al. 2003

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p E 0 + multipole. The S 11 channel is of interest for several reasons. First of all, the first resonance S 11 (1535), which lies only 48 MeV above the ηN threshold, has a remarkably large ηN branching ratio. This necessitates the inclusion of the ηN channel into our MEX πN model. Secondly, the analyses based solely on pion photoproduction always underestimate the A p 1/2 helicity amplitude of S 11 (1535) with a value around 60 × 10 −3 GeV −1/2 , while extractions

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“…Many theoretical methods aim at understanding this process in both the low-energy and the resonance region. In particular, significant progress has been made recently using dispersion relations [11,12] and effective Lagrangian models [13][14][15]. On the other hand, previous calculations using chiral perturbation theory (χPT) appear to work only at low photon energies-energies at or below the pion-production threshold [16,17].…”

Section: Introductionmentioning

confidence: 99%

Effective theory of theΔ(1232)resonance in Compton scattering off the nucleon

2003

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We formulate a new power-counting scheme for a chiral effective field theory of nucleons, pions, and Deltas. This extends chiral perturbation theory into the Delta-resonance region. We calculate nucleon Compton scattering up to next-to-leading order in this theory. The resultant description of existing γp cross section data is very good for photon energies up to about 300 MeV. We also find reasonable numbers for the spin-independent polarizabilities α p and β p .

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Dispersion theory of proton Compton scattering in the first and second resonance regions

Cited by 111 publications

References 82 publications

First extraction of the scalar proton dynamical polarizabilities from real Compton scattering data

First extraction of the scalar proton dynamical polarizabilities from real Compton scattering data

Excitation of S11 resonances in pion scattering and pion photoproduction on the proton

Effective theory of theΔ(1232)resonance in Compton scattering off the nucleon

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