The Reaction $pp\to p ΛK^+$ Near Threshold

Abstract

We analyze the recent total cross section data for $pp \to pΛK^+$ near threshold measured at COSY. Using an effective range approximation for the on-shell $pΛ$ S-wave final state interaction we extract from these data the combination ${\cal K} = \sqrt{2|K_s|^2+|K_t|^2} = 0.38$ fm$^4$ of the singlet ($K_s$) and triplet ($K_t$) threshold transition amplitudes. We present an exploratory calculation of various (tree-level) vector and pseudoscalar meson exchange diagrams. Pointlike $ω$-exchange alone and the combined ($ρ^0,ω,K^{*+} $)-exchange can explain the experimental value of $\cal K$. The pseudoscalar meson exchanges based on a SU(3) chiral Lagrangian turn out to be too large. However, when adding $π^0$-exchange in combination with the resonant $πN \to S_{11}(1650)\to K Λ$ transition and introducing monopole form factors with a cut-off $Λ_c= 1.5$ GeV one is again able to reproduce the experimental value of $\cal K$. More exclusive measurements are necessary to reveal the details of the $pp\to pΛK^+$ production mechanism.