Polarisabilities of the nucleon in baryon chiralperturbation theory and beyond

Abstract

We review the recent baryon chiral perturbation theory results for the nucleon polarisabilities that describe the different regimes of nucleon Compton scattering -real, virtual, and doubly virtual. We stress the importance of the empirical verification of the theory in the context of the calculation of the inelastic nucleon structure corrections, such as the two-photon exchange contributions. We also discuss the recently obtained constraints that relate the different regimes of nucleon Compton scattering and can provide additional information on the nucleon structure.

Nucleon Polarizabilities and Compton Scattering as Playground for Chiral Perturbation Theory

“…For the reader interested in the update only, I recommend to skip to Section 4 where a description of all summary plots is given. A recent theoretical discussion of nucleon polarizabilities in χPT and beyond can be found in [25]. Other commendable reviews include Guichon and Vanderhaeghen [26] or Fonvieille et al [27] (VCS and generalized polarizabilities), Drechsel et al [28] or Pasquini and Vanderhaeghen [29] (dispersion relations for CS), Pascalutsa et al [30] (∆(1232) resonance), Phillips [31] (neutron polarizabilities), Griesshammer et al [32] (χEFT and RCS experiments), Holstein and Scherer [33] (pion, kaon, nucleon polarizabilities), Geng [34] (BχPT), Pascalutsa [9] (dispersion relations), and Deur et al [35] (nucleon spin structure).…”

Nucleon Polarizabilities and Compton Scattering as a Playground for Chiral Perturbation Theory

“…A recent theoretical discussion of nucleon polarizabilities in χPT and beyond can be found in Ref. [8]. Other commendable reviews include: Guichon and Vanderhaeghen [9] or Fonvieille et al [10] (VCS and generalized polarizabilities), Drechsel et al [11] or Pasquini and Vanderhaeghen [12] (dispersion relations for CS), Pascalutsa et al [13] (∆(1232) resonance), Phillips [14] (neutron polarizabilities), Grießhammer et al [15] (χEFT and RCS experiments), Holstein and Scherer [16] (pion, kaon, nucleon polarizabilities), Geng [17] (BχPT), Pascalutsa [18] (dispersion relations), Deur et al [19] (nucleon spin structure).…”