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

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

2002-08-19

arxiv.org/abs/nucl-th/0208033v1

Phys.Rev. C66 (2002) 024005

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.66.024005

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

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