Dynamical generation of pseudoscalar resonances

TL;DR

This paper investigates the interactions of scalar resonances with pseudoscalar mesons, using a parameter-free approach to generate and identify multiple pseudoscalar resonances, some of which may be exotic.

Contribution

It introduces a method to derive interaction amplitudes without free parameters, revealing a rich spectrum of pseudoscalar resonances from scalar-meson interactions.

Findings

Generated multiple pseudoscalar resonances matching known states

Predicted possible exotic resonances with isospin 3/2 and 1

Confirmed the dynamical origin of certain scalar resonances

Abstract

We study the interactions between the f_0(980) and a_0(980) scalar resonances and the lightest pseudoscalar mesons. We first obtain the elementary interaction amplitudes, or interacting kernels, without including any ad hoc free parameter. This is achieved by using previous results on the nature of the lightest scalar resonances as dynamically generated from the rescattering of S-wave two-meson pairs. Afterwards, the interaction kernels are unitarized and the final S-wave amplitudes result. We find that these interactions are very rich and generate a large amount of pseudoscalar resonances that could be associated with the K(1460), \pi(1300), \pi(1800), \eta(1475) and X(1835). We also consider the exotic channels with isospin 3/2 and 1, having the latter positive G-parity. The former could be also resonant in agreement with a previous prediction.