6533b822fe1ef96bd127ce32

RESEARCH PRODUCT

Nucleon strangeness and unitarity

Hans-werner HammerHans-werner HammerM. J. MusolfDieter Drechsel

subject

PhysicsNuclear and High Energy PhysicsParticle physicsNuclear TheoryUnitarityNuclear TheoryHigh Energy Physics::PhenomenologyForm factor (quantum field theory)FOS: Physical sciencesStrangenessNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)AmplitudeDispersion relationHigh Energy Physics::ExperimentBorn approximationNuclear ExperimentNucleonS-matrix

description

The strange-quark vector current form factors of the nucleon are analyzed within the framework of dispersion relations. Particular attention is paid to contributions made by $K\bar{K}$ intermediate states to the form factor spectral functions. It is shown that, when the $K\bar{K}\to N\bar{N}$ amplitude is evaluated in the Born approximation, the $K\bar{K}$ contributions are identical to those arising from a one-loop calculation and entail a serious violation of unitarity. The mean square strangeness radius and magnetic moment are evaluated by imposing unitarity bounds on the kaon-nucleon partial wave amplitudes. The impact of including the kaon's form factor in the dispersion integrals is also evaluated.

https://doi.org/10.1103/physrevd.55.2741