Virtual Compton Scattering off Spin-Zero Particles at Low Energies |
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Authors: | H W Fearing S Scherer |
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Institution: | TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada, CA Institut für Kernphysik, Johannes-Gutenberg-Universit?t, J.-J.-Becher-Weg 45, D-55099 Mainz, Germany, DE
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Abstract: | We discuss the low-energy behaviour of the virtual Compton scattering amplitude off a spin-zero target. We first compare various
methods of obtaining a low-energy expression based either on the soft-photon approximation or the use of Ward-Takahashi identities.
We point out that structure-dependent terms are defined with respect to a low-energy approximation of the pole terms, which
commonly is separated from the full amplitude. We derive a general expression for the structure-dependent terms in an expansion
in terms of the momenta and of the initial and final virtual photon, respectively, up to and including terms of order . At order two terms appear that are related to the usual electric and magnetic polarizabilities of real Compton scattering. At order
we find nine new structures of which five can only be determined using virtual photons.
Received October 23, 1997; accepted for publication December 29, 1997 |
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