Dispersion theory and the low-energy constants for neutral-pion photoproduction

Pasquini, B.; Drechsel, D.; Tiator, L.

doi:10.1140/epja/i2006-10004-2

Cited by 19 publications

(22 citation statements)

References 30 publications

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“…The starting point of the FESR derivation is the analytic structure of the scalar amplitudes. The analytic structure and the associated dispersion relation for pion photoproduction are discussed extensively in the literature [39,[44][45][46]. The scalar functions have a nucleon pole and a left-and right-hand cuts required by unitarity, that are represented in the complex ν plane in Fig.…”

Section: Finite Energy Sum Rulesmentioning

confidence: 99%

Structure of pion photoproduction amplitudes

et al. 2018

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We derive and apply the finite energy sum rules to pion photoproduction. We evaluate the low-energy part of the sum rules using several state-of-the-art models. We show how the differences in the low-energy side of the sum rules might originate from different quantum number assignments of baryon resonances. We interpret the observed features in the low-energy side of the sum rules with the expectation from Regge theory. Finally, we present a model, in terms of a Regge-pole expansion, that matches the sum rules and the high-energy observables.

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Section: Finite Energy Sum Rulesmentioning

confidence: 99%

Structure of pion photoproduction amplitudes

et al. 2018

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“…It was shown in that reference that one can achieve a good description of the energy dependence of the discrepancy function for the proton together with the one of the electric dipole amplitude at threshold and the P-wave slopes at threshold. Relations between the LECs and the subtraction constants of the dispersive analysis could thus be established with an unprecedented accuracy [343,344].…”

Section: Off the Nucleonmentioning

confidence: 99%

Chiral perturbation theory and baryon properties

Bernard

2008

Progress in Particle and Nuclear Physics

282

151

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Theoretical as well as experimental progress has been made in the last decade in describing the properties of baryons. In this review I will mostly report on the theoretical issues. Two non-perturbative methods are privileged frameworks for studying their properties in the low-energy domain: chiral perturbation theory, the effective field theory of the Standard Model at energies below 1 GeV and lattice QCD. I will mainly concentrate here on the first one but I will also discuss the complementarity of the two methods. Chiral extrapolations for lattice simulations of some nucleon properties will be investigated. I will then concentrate on processes involving at most two nucleons, describing for example pion-nucleon and pion-deuteron scattering, pion photo-and electro-production off the nucleon and the deuteron and doubly virtual Compton scattering. Three flavor calculations will also be reviewed.

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“…Recently, the relation between dispersion relations and the chiral representation for neutral pion photoproduction has been analyzed in the context of the socalled Fubini-Furlan-Rosetti sum rule, see Refs. [114,115,116]. In particular, relations between the LECs and the subtractions constants of the dispersion relations were derived and used to pin down some of the LECs with an unprecedented accuracy -cf.…”

Section: Neutral Pion Photoproductionmentioning

confidence: 99%