$\bar{K}$ -induced formation of the $f_2(1270)$ and $f_2^{'}(1525)$ resonances on proton targets

Abstract

We investigate the productiong of $f_2(1270)$ and $f_2^{'}(1525)$ mesons in the $K^{-}p\to\Lambda{}f_2(1270)$,$K^{-}p\to\Lambda{}f^{'}_2(1525)$ and $K^{-}p\to{}K^{+}K^{-}\Lambda$ reactions within an effective Lagrangian approach. For $K^{-}p\to{}f_2\Lambda$ reaction, by considering the contributions from the $t$-channel $K^{+}$ exchange and $u$-channel nucleon pole, we get a fairly good description of the experimental measurements about the total and differential cross sections. Based on the studies of the $K^{-}p\to{}f_2\Lambda$ reaction, we investigate $K^{-}p\to{}K^{+}K^{-}\Lambda$ reaction including the contributions from the $f_2(1270)$ and $f'_2(1525)$ mesons decaying into $K^+K^-$ pair. The total cross sections and invariant mass distribution of the $K p \to K^+K^- \Lambda$ reaction are predicted. The results can be tested in future experiments and therefore offer new clues on the nature of these tensor states.