Search results for "Structure constants"

showing 2 items of 2 documents

Sum rules across the unpolarized Compton processes involving generalized polarizabilities and moments of nucleon structure functions

2018

We derive two new sum rules for the unpolarized doubly virtual Compton scattering process on a nucleon, which establish novel low-$Q^2$ relations involving the nucleon's generalized polarizabilities and moments of the nucleon's unpolarized structure functions $F_1(x,Q^2)$ and $F_2(x,Q^2)$. These relations facilitate the determination of some structure constants which can only be accessed in off-forward doubly virtual Compton scattering, not experimentally accessible at present. We perform an empirical determination for the proton and compare our results with a next-to-leading-order chiral perturbation theory prediction. We also show how these relations may be useful for a model-independent …

PhysicsParticle physicsStructure constantsChiral perturbation theoryProtonNuclear Theory010308 nuclear & particles physics530 PhysicsCompton scatteringFOS: Physical sciences01 natural sciences530Lamb shiftNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Polarizability0103 physical sciencesddc:530Sum rule in quantum mechanicsPhysics::Atomic PhysicsNuclear Experiment (nucl-ex)010306 general physicsNucleonNuclear Experiment
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Dispersion theoretical analysis of the nucleon spin polarizabilities

1999

The spin polarizabilities of the nucleon have been calculated from pion photoproduction data using forward dispersion relations. The feasibility of an experimental determination of these structure constants is discussed by focusing on polarization observables of the reaction \( \vec{\gamma }\vec{p} \to \gamma p \)→ γ p.

PhysicsParticle physicsStructure constantsPionDispersion relationNuclear TheoryPolarization observablesDispersion (optics)Nuclear ExperimentNucleonSpin-½
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