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

TL;DR

This paper investigates the production of the $f_1(1285)$ resonance in the reaction $K^- p o f_1(1285) \Lambda$ using an effective Lagrangian approach, supporting the resonance's dynamical generation from $ar{K} K^*$ interactions.

Contribution

It introduces a theoretical model for the reaction based on chiral unitary theory, reproducing experimental data and supporting the $ar{K} K^*$ nature of $f_1(1285)$.

Findings

Total and differential cross sections match experimental data.

Supports the $f_1(1285)$ as a dynamically generated state.

Provides evidence for the $ar{K} K^*$ structure of the resonance.

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 $K^{*+}$ 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 $K^- p \to f_1(1285) \Lambda$ 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 $\Lambda_c \sim 1.5$ GeV in the form factors, the experimental measurement can be reproduced. This production process would provide further evidence for the $\bar{K} K^* - c.c.$ nature of the $f_1(1285)$ state.