6533b7d3fe1ef96bd12613fa

RESEARCH PRODUCT

Burkhardt-Cottingham sum rule and forward spin polarizabilities in Heavy Baryon Chiral Perturbation Theory

Chung Wen KaoThomas SpitzenbergMarc Vanderhaeghen

subject

PhysicsNuclear and High Energy PhysicsParticle physicsHeavy baryon chiral perturbation theoryOrder (ring theory)Virtual particleFOS: Physical sciencesBaryonHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Photon polarizationPerturbation theory (quantum mechanics)Sum rule in quantum mechanicsNucleonNuclear Experiment

description

We study spin-dependent sum rules for forward virtual Compton scattering(VVCS) off the nucleon in heavy baryon chiral perturbation theory at order $O(p^4)$. We show how these sum rules can be evaluated from low energy expansions (in the virtual photon energy) of the forward VVCS amplitudes. We study in particular the Burkhardt -Cottingham sum rule in HBChPT and higher terms in the low energy expansion, which can be related to the generalized forward spin polarizabilities of the nucleon. The dependence of these observables on the photon virtuality $Q^2$ can be accessed, at small and intermediate $Q^2$ values, from existing and forthcoming data at Jefferson Lab.

https://dx.doi.org/10.48550/arxiv.hep-ph/0209241