Abstract
The Regge features of elastic $K^\pm N\to K^\pm N$, and charge exchange $K^-p\to\bar{K}^0n$ and $K^+n\to K^0p$ reactions are described by using a combined analysis of all these channels at high momenta. Based on the meson exchanges in the $t$-channel with their decays to $K\bar{K}$ pair allowed, the exchanges of $\rho(775)+\omega(782)$ are excluded in contrast to existing model calculations and the present work follows a new scheme for the meson exchanges $a_0(980)+\phi(1020)+f_2(1275)+a_2(1320)$ reggeized for the forward elastic scattering amplitude together with Pomeron. The charge exchange reactions are described by $a_0(980)+a_2(1320)$ exchanges in the $t$-channel. Dominance of the isoscalar $f_2$ and Pomeron exchanges beyond $P_{\rm Lab}\approx3$ GeV/$c$ is shown in the elastic process. Both the isovector $a_0$ and $a_2$ exchanges in charge exchange reactions play the respective roles in the low and high momentum region. Differential and total cross sections are presented to compare with existing data. Discussion is given to the polarization of $K^-p\to K^-p$ at $P_{Lab}=10$ GeV/$c$ and $K^-p\to \bar{K}^0n$ at $P_{Lab}=$ 8 GeV/$c$.
Highlights
Meson-baryon scatterings are the most fundamental reactions to understand strong interaction in terms of hadronic degrees of freedom
In our previous work [15], we investigated forward scattering of π N elastic and charge exchange processes in the Regge model where the relativistic Born terms for the t-channel
We have performed a combined analysis of KN and KN scatterings with a set of coupling constants common in four elastic and two charge exchange processes in the Regge realm
Summary
Meson-baryon scatterings are the most fundamental reactions to understand strong interaction in terms of hadronic degrees of freedom. The quark-pion coupling strength fπqq from the Goldberger-Treiman relation at the quark level, the cross sections for π ±N elastic scattering up to PLab = 250 GeV/c were reproduced by a single exchange of Pomeron. An overall agreement with the differential cross section is predicted, the discrepancy with K+n data in the large −t is shown due to the dominance of f2 exchange with the exchange nondegenerate phase over the Pomeron contribution in these intermediate momenta, 4.5 and 4.6 GeV/c
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