The $K^{-}p\to f_1(1285)\Lambda$ reaction within an effective Lagrangian approach

Abstract

The production of the $f_1(1285)$ resonance in the reaction of $K^{-}p\to f_1(1285)\Lambda$ is studied within an effective Lagrangian approach. The production process is described by the $t$ channel $K^{\ast +}$ meson exchange. My theoretical approach is based on the results of chiral unitary theory where the $f_1(1285)$ resonance is dynamically generated from the single channel $\bar{K}{K}^{\ast }-c.c.$ interaction. The total and differential cross sections of the $K^{-}p\to f_1(1285)\Lambda$ reaction are evaluated. Within the coupling constant of the $f_1(1285)$ to $\bar{K}{K}^{\ast }$ channel obtained from the chiral unitary theory and a cut off parameter ${\Lambda }_c\sim 1.5$ GeV in the form factors, the experimental measurement can be reproduced. This production process would provide further evidence for the $\bar{K}{K}^{\ast }-c.c.$ nature of the $f_1(1285)$ state.

Comments: Published on Phys. Rev. C