Dispersion relations and the spin polarizabilities of the nucleon

Details Dispersion relations and the spin polarizabilities of the nucleon Dispersion relations and the spin polarizabilities of the nucleon

1997-10-13

arxiv.org/abs/nucl-th/9710029v1

Phys.Lett. B420 (1998) 248-254

Physics

Nuclear Physics

Nuclear Theory

14 pages Latex, 1 ps figure

Scientific paper

10.1016/S0370-2693(97)01536-0

A forward dispersion calculation is implemented for the spin polarizabilities $\gamma_1, ... ,\gamma_4$ of the proton and the neutron. These polarizabilities are related to the spin structure of the nucleon at low energies and are structure-constants of the Compton scattering amplitude at ${\cal O}(\omega^3)$. In the absence of a direct experimental measurement of these quantities, a dispersion calculation serves the purpose of constraining the model building, and of comparing with recent calculations in heavy baryon chiral perturbation theory.

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