Hyperon-nucleon interactions in the $p p \to K^+ \Lambda p$ reaction

We present calculations of the invariant mass spectra of the $\Lambda$p system for the exclusive $p p \to K^+ \Lambda p$ reaction with the aim of studying the final state interaction between the $\Lambda$-hyperon and the proton. The reaction is described within a meson exchange framework and the final state $\Lambda p$ interaction is incorporated through an off-shell t-matrix for the $\Lambda p \to \Lambda p$ scattering, constructed using the available hyperon-nucleon (YN) potentials. The cross sections are found to be sensitive to the type of YN potential used especially at the $\Lambda$ and $\Sigma$ production thresholds. Hence, data on this exclusive reaction, which can be used to constrain the YN potentials are desirable.