Virtual Compton scattering off the nucleon at low energies

Details Virtual Compton scattering off the nucleon at low energies Virtual Compton scattering off the nucleon at low energies

1996-05-21

arxiv.org/abs/nucl-th/9605030v1

Phys.Rev.C54:904-919,1996

Physics

Nuclear Physics

Nuclear Theory

26 pages, RevTex, to appear in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.54.904

We investigate the low-energy behavior of the four-point Green's function $\Gamma^{\mu\nu}$ describing virtual Compton scattering off the nucleon. Using Lorentz invariance, gauge invariance, and crossing symmetry, we derive the leading terms of an expansion of the operator in the four-momenta $q$ and $q'$ of the initial and final photon, respectively. The model-independent result is expressed in terms of the electromagnetic form factors of the free nucleon, i.e., on-shell information which one obtains from electron-nucleon scattering experiments. Model-dependent terms appear in the operator at $O(q_\alpha q'_\beta)$, whereas the orders $O(q_\alpha q_\beta)$ and $O(q'_\alpha q'_\beta)$ are contained in the low-energy theorem for $\Gamma^{\mu\nu}$, i.e., no new parameters appear. We discuss the leading terms of the matrix element and comment on the use of on-shell equivalent electromagnetic vertices in the calculation of ``Born terms'' for virtual Compton scattering.

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