Pseudocalar 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.

21 pages, 4 figures

References in corpus (7)

• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Clues for the existence of two $K_1(1270)$ resonances
• Light meson mass dependence of the positive parity heavy-strange mesons
• On the radiative decays of light vector and axial-vector mesons
• Quantum loops in radiative decays of the $a_1$ and $b_1$ axial-vector mesons
• Radiative decay into $\gamma P$ of the low lying axial-vector mesons

Cited by in corpus (5)

• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• Revising the $f_1(1420)$ resonance
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Investigation of pion-induced $f_1(1285)$ production off a nucleon target within an interpolating Reggeized approach
• K-pi interaction in finite volume and the K* resonance