Combined analysis of the $K^{+}{K}^{-}$ interaction using near threshold $pp\to pp{K}^{+}{K}^{-}$ data

Abstract

The $K^{+}{K}^{-}$ final state interaction was investigated based on both the $K^{+}{K}^{-}$ invariant mass distributions measured at excess energies of Q = 10 and 28 MeV and the near threshold excitation function for the $pp\to pp{K}^{+}{K}^{-}$ reaction. The $K^{+}{K}^{-}$ final state enhancement factor was parametrized using the effective range expansion. The effective range of the $K^{+}{K}^{-}$ interaction was estimated to be: $\mathrm{Re}(b_{K^{+}{K}^{-}})=-0.1\pm 0.4_{stat}\pm 0.3_{sys}\mathrm{fm}$ and $\mathrm{Im}(b_{K^{+}{K}^{-}})=1.2_{-0.2_{stat}-0.0_{sys}}^{+0.1_{stat}+0.2_{sys}}\mathrm{fm}$, and the determined real and imaginary parts of the $K^{+}{K}^{-}$ scattering length amount to: $|\mathrm{Re}(a_{K^{+}{K}^{-}})|=8.0_{-4.0_{stat}}^{+6.0_{stat}}\mathrm{fm}$ and $\mathrm{Im}(a_{K^{+}{K}^{-}})=0.0_{-5.0_{stat}}^{+20.0_{stat}}\mathrm{fm}$.

Comments: 5 pages, 3 figures, article accepted for publication in Phys. Rev. C