6533b823fe1ef96bd127e213

RESEARCH PRODUCT

Pion and kaon vector form factors

José Antonio OllerEulogio OsetJ. E. Palomar

subject

Nuclear and High Energy PhysicsParticle physicsChiral perturbation theoryNuclear TheoryPartial wave analysisFOS: Physical sciencesPerturbation (astronomy)chiral [perturbation theory]CoincidenceHigh Energy Physics - ExperimentNuclear Theory (nucl-th)High Energy Physics - Experiment (hep-ex)High Energy Physics - Phenomenology (hep-ph)Pioninterpretation of experiments [numerical calculations]Dispersion relationtree approximationunitarityddc:530higher-order [Feynman graph]form factor [K]PhysicsUnitarityFísicapartial wave analysisHigh Energy Physics - Phenomenologyform factor [pi]vector [form factor]Quantum electrodynamicsIsospinelastic scattering [pi pi]correction [final-state interaction]

description

We develop a unitarity approach to consider the final state interaction corrections to the tree level graphs calculated from Chiral Perturbation Theory ($\chi PT$) allowing the inclusion of explicit resonance fields. The method is discussed considering the coupled channel pion and kaon vector form factors. These form factors are then matched with the one loop $\chi PT$ results. A very good description of experimental data is accomplished for the vector form factors and for the $\pi\pi$ P-wave phase shifts up to $\sqrt{s}\lesssim 1.2$ GeV, beyond which multiparticle states play a non negligible role. In particular the low and resonance energy regions are discussed in detail and for the former a comparison with one and two loop $\chi PT$ is made showing a remarkable coincidence with the two loop $\chi PT$ results.

10.1103/physrevd.63.114009http://dx.doi.org/10.1103/PhysRevD.63.114009