Vector meson-baryon dynamics and generation of resonances

Abstract

The purpose of this work is to study vector meson-octet baryon interactions with the aim to find dynamical generation of resonances in such systems. For this, we consider $s$-, $t$-, $u$-channel diagrams along with a contact interaction originating from the hidden local symmetry Lagrangian. We find the contribution from all these sources, except the $s$ channel, to be important. The amplitudes obtained by solving coupled channel Bethe-Salpeter equations for systems with total strangeness zero, show the generation of one isospin $3/2$, spin $1/2$ resonance and three isospin $1/2$ resonances: two with spin $3/2$ and one with spin $1/2$. We identify these resonances with $\ensuremath{\Delta}(1900){S}_{31}$, ${N}^{*}(2080){D}_{13}$, ${N}^{*}(1700){D}_{13}$, and ${N}^{*}(2090){S}_{11}$, respectively.