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

Abstract

A $NN\to N{N}^{\ast }(1440)$ 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 $\pi N{N}^{\ast }(1440)$ and $\sigma N{N}^{\ast }(1440)$ coupling constants in a particular coupling scheme

Comments: 15 eps figures, Accepted for publication in Phys. Rev. C