Dynamical generation of pseudoscalar resonances

We study the interactions between the f₀(980) and a₀(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 $K(1460)$, π(1300), π(1800), η(1475), and $X(1835)$. We also consider the exotic channels with isospin $3/2$ and 1, the latter having positive G-parity. The former could also be resonant in agreement with a previous prediction.