6533b821fe1ef96bd127ba48
RESEARCH PRODUCT
Spin-dependent sum rules connecting real and virtual Compton scattering verified
Vadim LenskyChung Wen KaoMarc VanderhaeghenVladimir Pascalutsasubject
PhysicsChiral perturbation theoryNuclear TheoryProton010308 nuclear & particles physicsCompton scatteringFOS: Physical sciencesNucleon spin structure01 natural sciencesNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)PolarizabilityQuantum mechanics0103 physical sciencesSum rule in quantum mechanicsNuclear Experiment (nucl-ex)010306 general physicsNuclear ExperimentElectron scatteringSpin-½description
We present a detailed derivation of the two sum rules relating the spin polarizabilities measured in real, virtual, and doubly-virtual Compton scattering. For example, the polarizability $\delta_{LT}$, accessed in inclusive electron scattering, is related to the spin polarizability $\gamma_{E1E1}$ and the slope of generalized polarizabilities $P^{(M1,M1)1}-P^{(L1,L1)1}$, measured in, respectively, the real and the virtual Compton scattering. We verify these sum rules in different variants of chiral perturbation theory, discuss their empirical verification for the proton, and prospect their use in studies of the nucleon spin structure.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-04-03 | Physical Review D |