6533b872fe1ef96bd12d3004
RESEARCH PRODUCT
Virtual Compton Scattering off Spin-Zero Particles at Low Energies
Harold W. FearingStefan Scherersubject
PhysicsNuclear Theory010308 nuclear & particles physicsCompton scatteringZero (complex analysis)FOS: Physical sciencesOrder (ring theory)Virtual particle01 natural sciencesAtomic and Molecular Physics and OpticsNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)AmplitudeQuantum mechanics0103 physical sciencesPoint (geometry)010306 general physicsGeneral expressionSpin-½description
We discuss the low-energy behavior 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 $k_1$ and $k_2$ of the initial and final virtual photon, respectively, up to and including terms of order ${\cal O}(k^4)$. At order ${\cal O}(k^2)$ two terms appear which are related to the usual electric and magnetic polarizabilities of real Compton scattering. At order ${\cal O}(k^4)$ we find nine new structures of which five can only be determined using virtual photons.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-07-26 | Few-Body Systems |