f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach

TL;DR

This paper models the f0(980) meson as a K bar K molecule using a phenomenological Lagrangian, calculating decay widths that align well with experimental data.

Contribution

It introduces a self-consistent method to determine the coupling of f0(980) as a K bar K bound state within a phenomenological framework.

Findings

Calculated decay widths agree with experimental data.

Demonstrated the viability of the molecular interpretation of f0(980).

Provided a consistent approach to meson structure modeling.

Abstract

We discuss a possible interpretation of the f0(980) meson as a hadronic molecule - a bound state of K and bar K mesons. Using a phenomenological Lagrangian approach we calculate the strong f0(980) to pi pi and electromagnetic f0(980) to gamma gamma decays. The compositeness condition provides a self-consistent method to determine the coupling constant between f0 and its constituents, K and bar K. Form factors governing the decays of the f0(980) are calculated by evaluating the kaon loop integrals. The predicted f0(980) to pi pi and f0(980) to gamma gamma decay widths are in good agreement with available data and results of other theoretical approaches.