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Generalized polarizabilities of the nucleon studied in the linear sigma model (II)

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Zeitschrift für Physik A Hadrons and Nuclei

Abstract

In a previous paper virtual Compton scattering off the nucleon has been investigated in the one-loop approximation of the linear sigma model in order to determine the 3 scalar generalized polarizabilities. We have now extended this work and calculated the 7 vector polarizabilities showing up in the spin-dependent amplitude of virtual Compton scattering. The results fulfill 3 model-independent constraints recently derived. Compared to the constituent quark model there exist enormous differences for some of the vector polarizabilities. At vanishing three-momentum of the virtual photon, the analytical results of the sigma model and of chiral perturbation theory can be related. The influence of the π0 exchange in the t channel has been discussed in some detail. Besides, the vector polarizabilities determine 2 linear combinations of the third order spin-polarizabilities appearing in real Compton scattering.

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Authors and Affiliations

  1. Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099, Mainz, Germany

    A. Metz & D. Drechsel

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  1. A. Metz
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  2. D. Drechsel
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Correspondence to A. Metz.

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This work has been supported by the Deutsche Forschungsgemeinschaft (SFB 201)

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Metz, A., Drechsel, D. Generalized polarizabilities of the nucleon studied in the linear sigma model (II). Z Phys A - Particles and Fields 359, 165–172 (1997). https://doi.org/10.1007/s002180050384

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