Pion-pion, pion-kaon, and kaon-kaon interactions in the one-meson-exchange model

摘要

The $SU(3)$-symmetric one-meson-exchange mechanisms are used in order to describe the $pi pi $, $pi K$, and KK interactions at low energies ($sqrt {s}1.5$?GeV). In the model, both $s$- and $t$-channel exchange diagrams are considered in $pi pi $ and $pi K$ scatterings, in which the coupling constants and cut-off masses in form factors are determined to reproduce experimental phase shifts with $J3$. The form factors are examined both in monopole and Gaussian types. At the same time as giving quantitative predictions for KK interaction with $J=0sim 3$, the investigation of the $eta $ channel effects, the $eta eta $ channel in $pi pi $ scattering, and the $eta K$ channel in $pi K$ scattering are also interesting discussion points in this paper. The scattering lengths of all states in $pi pi $, $pi K$, and KK interactions and the pole positions of the $S$-matrix are shown.