Scalar-Pseudoscalar scattering and pseudoscalar resonances

TL;DR

This paper investigates the interactions between scalar resonances and pseudoscalar mesons, dynamically generating pseudoscalar resonances and exploring exotic channels without free parameters, advancing understanding of meson spectroscopy.

Contribution

It provides a parameter-free, unitarized approach to study scalar-pseudoscalar interactions, dynamically generating multiple pseudoscalar resonances and analyzing exotic quantum number channels.

Findings

Generated resonances associated with known mesons like K(1460) and C0(1300)

Predicted possible resonances in exotic channels with I=3/2

Validated the dynamical generation of scalar resonances without free parameters

Abstract

The interactions between the f_0(980) and a_0(980) scalar resonances and the lightest pseudoscalar mesons are studied. We first obtain the interacting kernels, without including any ad hoc free parameter, because the lightest scalar resonances are dynamically generated. These kernels are unitarized, giving the final amplitudes, which generate pseudoscalar resonances, associated with the K(1460), \pi(1300), \pi(1800), \eta(1475) and X(1835). We also consider the exotic channels with I=3/2 and I^G=1^+ quantum numbers. The former could be also resonant in agreement with a previous prediction.