Pseudoscalar meson and vector meson interactions and dynamically generated axial-vector mesons

Abstract

The axial-vector mesons ${a}_{1}(1260)$, ${b}_{1}(1235)$, ${f}_{1}(1285)$, ${h}_{1}(1170)$, ${h}_{1}(1380)$, and ${K}_{1}(1270)$ are dynamically generated in the unitized chiral perturbation theory. Such a picture has been tested extensively in the past few years. In this work, we calculate the interaction kernel up to $\mathcal{O}({p}^{2})$ and study the impact on the dynamically generated axial-vector states. In anticipation of future lattice QCD simulations, we calculate the scattering lengths and the pole positions as functions of the pion mass, with the light-quark mass dependence of the kaon, the eta, and the vector mesons determined by the ${n}_{f}=2+1$ lattice QCD simulations of the PACS-CS Collaboration.