Microscopic $NN\to NN^{\ast}(1440)$ transition potential: Determination of $\pi NN^{\ast}(1440)$ and $\sigma NN^{\ast}(1440) $ coupling constants

Abstract

A $NN\to NN^{\ast}(1440)$ transition potential, based on an effective quark-quark interaction and a constituent quark cluster model for baryons, is derived in the Born-Oppenheimer approach. The potential shows significant differences with respect to those obtained by a direct scaling of the nucleon-nucleon interaction. From its asymptotic behavior we extract the values of $\pi NN^{\ast}(1440)$ and $\sigma NN^{\ast}(1440)$ coupling constants in a particular coupling scheme