$pp \to pp K^{+}K^{-}$ reaction at high energies

TL;DR

This paper analyzes the $pp o pp K^{+}K^{-}$ reaction at high energies, evaluating differential distributions, considering new emission mechanisms, and making predictions for future collider experiments, with implications for background processes in meson production.

Contribution

It introduces a new mechanism of kaon emission from proton lines and provides detailed predictions for differential distributions at high energies.

Findings

Kaons are preferentially emitted in the same hemisphere at higher energies.

The new emission mechanism produces kaons mainly in the forward and backward directions.

The processes significantly contribute to the total proton-proton and kaon cross sections.

Abstract

We evaluate differential distributions for the four-body $p p \to p p K^{+} K^{-}$ reaction at high energies which constitutes an irreducible background to three-body processes $p p \to p p M$, where $M=\phi$, $f_{2}(1275)$, $f_{0}(1500)$, $f_{2}'(1525)$, $\chi_{c0}$. We consider central diffractive contribution mediated by Pomeron and Reggeon exchanges as well as completely new mechanism of emission of kaons from the proton lines. We include absorption effects due to proton-proton interaction and kaon-kaon rescattering. We compare our results with measured cross sections for the CERN ISR experiment. We make predictions for future experiments at RHIC, Tevatron and LHC. Differential distributions in invariant two-kaon mass, kaon rapidities and transverse momenta of kaons are presented. Two-dimensional distribution in $(y_{K^+}, y_{K^-})$ is particularly interesting. The higher the incident energy, the higher preference for the same-hemisphere emission of kaons. We find that the kaons from the new mechanism of emission directly from proton lines are produced rather forward and backward but the corresponding cross section is rather small. The processes considered here constitute a sizeable contribution to the total proton-proton cross section as well as to kaon inclusive cross section. We consider a measurement of exclusive production of scalar $\chi_{c0}$ meson in the proton-proton collisions via $\chi_{c0} \to K^{+}K^{-}$ decay. The corresponding amplitude for exclusive central diffractive $\chi_{c0}$ meson production is calculated within the $k_{t}$-factorization approach. The influence of kinematical cuts on the signal-to-background ratio is discussed.