Role of correlated two-pion exchange in $K^+ N$ scattering

Details Role of correlated two-pion exchange in $K^+ N$ scattering Role of correlated two-pion exchange in $K^+ N$ scattering

1995-04-26

arxiv.org/abs/nucl-th/9504029v1

Nucl.Phys. A593 (1995) 341-361

Physics

Nuclear Physics

Nuclear Theory

24 pages, REVTEX, figures available from the authors

Scientific paper

10.1016/0375-9474(95)00320-Z

A dynamical model for S-- and P--wave correlated $2 \pi$ (and $K \bar K$) exchange between a kaon and a nucleon is presented, starting from corresponding $N \bar N \rightarrow K \bar K$ amplitudes in the pseudophysical region, which have been constructed from nucleon, $\Delta$--isobar and hyperon ($\Lambda$, $\Sigma$) exchange Born terms and a realistic meson exchange model of the $\pi \pi \rightarrow K \bar K$ and $K \bar K \rightarrow K \bar K$ amplitude. The contribution in the s--channel is then obtained by performing a dispersion relation over the unitarity cut. In the $\rho$--channel, considerable ambiguities exist, depending on how the dispersion integral is performed. Our model, supplemented by short range interaction terms, is able to describe empirical $K^+ N$ data below pion production threshold in a satisfactory way.

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