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Nucleon pole contribution in the $pp\to ppK^+K^-$ reaction below thethreshold of the production of the $\phi$ meson is studied within the effectiveLagrangian approach. It is assumed that the $K^- p$ final state originates fromthe decay of the hyperons $\Lambda(1115)$ and $\Lambda(1405)$. In addition tothe $pp$ final state interaction (FSI) parametrized using the Jost function, wehave also considered the $K^+K^-$ FSI with the techniques of the chiral unitaryapproach, where the scalar mesons $f_0(980)$ and $a_0(980)$ were dynamicallygenerated. Hence, the contributions from scalar mesons $f_0(980)$ and$a_0(980)$ occur through the $K^+ K^-$ FSI. It is shown that the availableexperimental data are well reproduced, especially the total cross sections andthe invariant mass distributions of $pp$ and $K^+K^-$. Furthermore, differentforms of the couplings (pseudoscalar and pseudovector) for the $\pi NN$interaction and different strengths for the proton-proton FSI are alsoinvestigated. It is found that the contributions from hyperon $\Lambda(1115)$and $\Lambda(1405)$ are different between these two kinds of couplings. On theother hand, the effects of the proton-proton FSI can be adjusted by the cut offparameters used in the form factors.

Nucleon pole contribution in the $pp\to ppK^+K^-$ reaction below the $\phi$ meson threshold