Dispersion theory of nucleon Compton scattering and polarizabilities

A status report on the topic nucleon Compton scattering and polarizabilities is presented with emphasis on the scalar t-channel as entering into dispersion theory. Precise values for the polarizabilities are obtained leading to (p) = 12.0 +/- 0.6 (12.0), (p)= 1.9 +/- 0.6 (1.9), (n)= 12.5 +/- 1.7 (13.4), (n)= 2.7 +/- 1.8 (1.8) in units of 10(-4) fm(3) and ((p))= -36.4 +/- 1.5 (-36.6), ((n))= 58.6 +/- 4.0 (58.3), (((p))(0) = -0.58 +/- 0.20), (((n))(0) = +0.38 +/- 0.22) in units of 10(-4) fm(4), for the proton (p) and neutron (n), respectively. The data given with an error are recommended experimental values with updates compared to [1] where necessary, the data in parentheses are predicted values. These predicted values are not contained in [1], but are the result of a newly developed analysis which is the main topic of the present paper. The most important recent discovery is that the largest part of the electric polarizability and the total diamagnetic polarizability of the nucleon are properties of the sigma meson as part of the constituent-quark structure, as expected from the mechanism of chiral symmetry breaking. This view is supported by an experiment on Compton scattering by the proton carried out in the second resonance region, where a large contribution from the sigma meson enters into the scattering amplitudes. This experiment led to a determination of the mass of the sigma meson of m(sigma)= 600 +/- 70 MeV. From the experimental (p) and predicted differences ((n)-(p)) neutron polarizabilities in the range (n) = 12.0 - 13.4 are predicted, where the uncertainties are related to the f(0)(980) and a(0)(980) scalar mesons. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim A status report on the topic nucleon Compton scattering and polarizabilities is presented with emphasis on the scalar t-channel. Precise values for the polarizabilities are the result of a newly developed analysis which is the main topic of the present paper. The most important recent discovery is that the largest part of the electric polarizability and the total diamagnetic polarizability of the nucleon are properties of the sigma meson as part of the constituent-quark structure, as expected from the mechanism of chiral symmetry breaking.