Abstract
We consider the axial-vector form factors of the baryon octet in flavor-SU(3) chiral perturbation theory. The baryon octet and decuplet and the pseudoscalar-meson octet are included as explicit degrees of freedom. We explore the use of on-shell meson and baryon masses in the one-loop contributions to the axial-vector form factors and focus on a consistent treatment in terms of chiral power counting. The convergence properties of such an approach are scrutinized. We discuss the potential for comparison to upcoming QCD lattice data.
Highlights
The axial-vector form factors of the octet baryons are, next to the baryon masses, important testing grounds for our understanding of the flavor and chiral structure of lowenergy, nonperturbative QCD
Face the problem that in the chiral expansion terms occur that violate standard power-counting rules that assume mπ ∼ Δ ∼ small momenta, where Δ is the isobar-nucleon mass difference
We explored the use of on-shell hadron masses in the loop diagrams to improve the convergence of the chiral expansion when the isobars are included
Summary
The axial-vector form factors of the octet baryons are, next to the baryon masses, important testing grounds for our understanding of the flavor and chiral structure of lowenergy, nonperturbative QCD. Previous work within flavor-SU(3) heavy-baryon χPT has shown serious convergence problems of the chiral expansion [3,4]. [5] we investigated the axial-vector form factor of the nucleon in flavor-SU(2) χPT with nucleons and isobars. The LECs (low-energy constants) to the available flavor-SU (2) QCD lattice data for the nucleon and isobar masses and the nucleon axial-vector form factor [6–9]. In this work we extend this approach to calculate the axial-vector form factors of the baryon octet in flavorSU(3) χPT. We investigate whether the use of on-shell masses in loop contributions leads to better convergence properties of the flavor-SU(3) chiral expansion. Several appendixes are devoted to definitions of amplitudes, Clebsch-Gordan coefficients and recoupling constants, and kinematical constants
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