A chiral covariant approach to $$\varvec{\rho \rho }$$ ρ ρ scattering

Abstract

Abstract We analyze vector meson–vector meson scattering in a unitarized chiral theory based on a chiral covariant framework restricted to $$\rho \rho $$ ρ ρ intermediate states. We show that a pole assigned to the scalar meson $$f_0(1370)$$ f 0 ( 1370 ) can be dynamically generated from the $$\rho \rho $$ ρ ρ interaction, while this is not the case for the tensor meson $$f_2(1270)$$ f 2 ( 1270 ) as found in earlier work. We show that the generation of the tensor state is untenable due to the extreme non-relativistic kinematics used before. We further consider the effects arising from the coupling of channels with different orbital angular momenta which are also important. We suggest to use the formalism outlined here to obtain more reliable results for the dynamical generation of resonances in the vector–vector interaction.