Hadron resonances generated from the dynamics of the lightest scalar ones

TL;DR

This study models scalar resonance interactions with vectors and pseudoscalars, generating multiple known and new resonances through unitarized amplitudes without introducing free parameters.

Contribution

It presents a parameter-free approach to dynamically generate scalar and vector meson resonances via unitarized interaction kernels.

Findings

Generated multiple pseudoscalar resonances including K(1460), π(1300), π(1800), η(1475), X(1835)

Reproduced the 0(980)0(980)0(980)0(980) and 0(980)0(980)0(980)0(980)0(980) resonances

Predicted the 0(980)0(980)0(980)0(980)0(980)0(980)0(980)0(980) resonance from 0(980)0(980)0(980)0(980)0(980) 0(980)0(980) interactions and an isovector partner from a_0(980)0(980)0(980)0(980) 0(980)0(980) interactions.

Abstract

We have studied the interactions of the scalar resonances f_0(980) and a_0(980) with the vector resonance \phi(1020) and with the lightest pseudoscalars \pi, K, \eta and \eta'. We first obtain the interaction kernels without including any new free parameter. 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 including the K(1460), \pi(1300), \pi(1800), \eta(1475) and X(1835) resonances. The f_0(980)\phi(1020) self-interactions give rise to the \phi(2170) resonance. For realistic choices of the parameters we also obtain an isovector companion in the same mass region from the a_0(980) \phi(1020) interactions.