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arXiv · 1509.06196

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

Ju-Jun Xie
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Abstract

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

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Ju-Jun Xie. 2016-01-04. The $K^- p \to f_1(1285) Λ$ reaction within an effective Lagrangian approach. https://doi.org/10.1103/physrevc.92.065203

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