6533b7d8fe1ef96bd126a3f3
RESEARCH PRODUCT
Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
Stefan SchererT. FuchsJambul GegeliaJambul GegeliaMatthias R. Schindlersubject
PhysicsCoupling constantNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryIsovectorMesonNuclear TheoryHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyNuclear TheoryForm factor (quantum field theory)Order (ring theory)FOS: Physical sciencesNuclear Theory (nucl-th)PionNucleonNuclear Experimentdescription
We calculate the nucleon form factors G_A and G_P of the isovector axial-vector current and the pion-nucleon form factor G_piN in manifestly Lorentz-invariant baryon chiral perturbation theory up to and including order O(p^4). In addition to the standard treatment including the nucleon and pions, we also consider the axial-vector meson a_1 as an explicit degree of freedom. This is achieved by using the reformulated infrared renormalization scheme. We find that the inclusion of the axial-vector meson effectively results in one additional low-energy coupling constant that we determine by a fit to the data for G_A. The inclusion of the axial-vector meson results in an improved description of the experimental data for G_A, while the contribution to G_P is small.
year | journal | country | edition | language |
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2006-11-22 |