Two-photon production of $f_0$ and $a_0$ resonances as hadronic molecules composed of two vector mesons

Abstract

Ascribed as $\ddot{I}\ddot{I}$ and $K^{\ast }{\bar{K}}^{\ast }$ molecular states, respectively, iso-scalar $f_0(1500)$ and $f_0(1710)$ states are expected to have iso-vector partners, potentially identified as $a_0(1450)$ and $a_0(1710)$. The predicted dominant decay modes for these two $a_0$ resonances are $a_0(1450)\to \ddot{I}‰\ddot{I}€\ddot{I}€$ and $a_0(1710)\to \ddot{I}‰\ddot{I}€\ddot{I}€,\ddot{I}•\ddot{I}€\ddot{I}€$. We estimate cross sections for two-photon production of these four resonances within the hadronic molecular picture, and demonstrate that SuperKEKB's luminosity is sufficient for their observation and more precise parameter measurements.