Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1997-05-05
Z.Phys. A359 (1997) 165-172
Physics
Nuclear Physics
Nuclear Theory
17 pages, 4 figures, latex2e (Revtex), submitted to Z. Phys. A
Scientific paper
10.1007/s002180050384
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 $\pi^{0}$ 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.
Drechsel Dieter
Metz Andreas
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