The Reaction $pp\to ppη$ and the eta-Nucleon and Nucleon-Nucleon Interactions

Details The Reaction $pp\to ppη$ and the eta-Nucleon and Nucleon-Nucleon Interactions The Reaction $pp\to ppη$ and the eta-Nucleon and Nucleon-Nucleon Interactions

2000-06-09

arxiv.org/abs/nucl-th/0006011v1

Nucl.Phys. A683 (2001) 322-338

Physics

Nuclear Physics

Nuclear Theory

RevteX 22 p., 6 figures

Scientific paper

10.1016/S0375-9474(00)00449-8

The $\pi$, $\eta$ and $\rho$ exchange contributions to the cross-section for the reaction $pp\to pp\eta$ near threshold are calculated with a phenomenological description of the intermediate S11 (N(1535)) resonance for all exchange mechanisms. The final state interaction in the $pp$ system is described by realistic nucleon-nucleon interaction models. The sensitivity of the results to the phenomenological models for the $\eta$-nucleon transition amplitude and the nucleon-nucleon interaction is explored. The $\eta$ exchange mechanism is found to play a dominant role. The off-shell behavior of the $\eta N \to \eta N$ amplitude within the $\eta-$exchange amplitude leads to a result significantly different from that obtained with the constant scattering length approximation. The two-nucleon amplitudes that are associated with the short range components of the nucleon-nucleon interaction contribute significantly to the cross section.

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