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These studies resulted in the new value of $K^+K^-$ effective range amounting to: $\\mathrm{Re}(b_{K^{+}K^{-}}) = -0.2^{+0.8_{stat}~+0.4_{sys}}_{-0.6_{stat}~-0.4_{sys}}~\\mathrm{fm}$ and $\\mathrm{Im}(b_{K^{+}K^{-}}) = 1.2^{~+0.5_{stat}~+0.3_{sys}}_{~-0.3_{stat}~-0.3_{sys}}~\\mathrm{fm}$. 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Silarski","submitted_at":"2014-01-18T15:27:48Z","abstract_excerpt":"In this article studies of the near threshold $pp\\to ppK^+K^-$ reaction conducted with the COSY-11 and the ANKE detectors are reviewed. In particular recent investigations on the $K^+K^-$ final state interaction are revisited taking into account updated cross sections of the COSY-11 experiment. These studies resulted in the new value of $K^+K^-$ effective range amounting to: $\\mathrm{Re}(b_{K^{+}K^{-}}) = -0.2^{+0.8_{stat}~+0.4_{sys}}_{-0.6_{stat}~-0.4_{sys}}~\\mathrm{fm}$ and $\\mathrm{Im}(b_{K^{+}K^{-}}) = 1.2^{~+0.5_{stat}~+0.3_{sys}}_{~-0.3_{stat}~-0.3_{sys}}~\\mathrm{fm}$. 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