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

Abstract

We investigate the productiong of $f_2(1270)$ and $f_2^{{}^{\prime }}(1525)$ mesons in the $K^{-}p\to \Lambda f_2(1270)$,$K^{-}p\to \Lambda f_2^{{}^{\prime }}(1525)$ 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 $f_2^{\prime }(1525)$ mesons decaying into $K^{+}{K}^{-}$ pair. The total cross sections and invariant mass distribution of the $Kp\to K^{+}{K}^{-}\Lambda$ reaction are predicted. The results can be tested in future experiments and therefore offer new clues on the nature of these tensor states.

arXiv comment6 pages,8 figures

References in corpus (7)

• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Nucleon and Delta resonances in K Sigma(1385) photoproduction from nucleons
• Study of the $J/\psi \to \varphi (\omega )f_2(1270)$, $J/\psi \to \varphi (\omega )f_2^{\prime }(1525)$ and $J/\psi \to K^{\ast 0}(892){\bar{K}}_2^{\ast 0}(1430)$ decays
• Rho meson photoproduction at low energies
• Study of the $f_2(1270)$, $f_2^{\prime }(1525)$, $f_0(1370)$ and $f_0(1710)$ in the $J/\psi$ radiative decays
• The $\gamma \gamma$ decay of the $f_0(1370)$ and $f_2(1270)$ resonances in the hidden gauge formalism
• Photoproduction of ${\pi }^{+}{\pi }^{-}$ meson pairs on the proton