$M1$ Radiative Transition of Light Mesons in the Light-Front Quark Model

TL;DR

This paper studies M1 radiative transitions between light mesons using the light-front quark model with QCD-inspired wave functions, comparing results with experimental data to validate the approach.

Contribution

It introduces a method to calculate M1 transitions in light mesons using light-front wave functions derived from an effective Hamiltonian with harmonic oscillator basis functions.

Findings

Calculated transition widths agree with experimental data.

Different trial wave functions yield consistent results.

Provides insights into the structure of light mesons.

Abstract

We investigate the $M1$ radiative transitions between light vector $\mathcal{V}$ and pseudoscalar $\mathcal{P}$ mesons in the 1S and 2S states in the light-front quark model. To this end, we use the light-front wave functions (LFWFs) obtained from the QCD-motivated effective Hamiltonian that includes smeared spin-spin interactions, where a few harmonic oscillator basis functions were employed as trial wave functions. The results, including their couplings and widths, obtained from LFWFs with different trial wave functions are compared with the available experimental data and other theoretical predictions.