Radiative decays $V\rightarrow P\gamma^{*}$ in the instant form of relativistic quantum mechanics

TL;DR

This paper calculates the transition form factor for vector meson radiative decays using instant form relativistic quantum mechanics, ensuring Lorentz covariance and current conservation, and compares results with light-front dynamics and vector meson dominance models.

Contribution

It introduces a method to compute decay form factors within the instant form of relativistic quantum mechanics, maintaining key physical symmetries and providing a basis for comparison with other models.

Findings

Form factors are successfully calculated in the instant form framework.

Results are consistent with light-front dynamics and vector meson dominance models.

The approach preserves Lorentz covariance and current conservation.

Abstract

Calculations of form factor for the radiative decays $V\rightarrow P\gamma^{*}$ process are performed in the framework of an instant form of relativistic quantum mechanics. The electromagnetic current operator for this decay is constructed. The transition form factor is obtained in the so called relativistic modified impulse approximation (MIA). The current operator satisfies the conditions of Lorentz-covariance and current conservation in MIA. The results of the calculations are compared with the analogous results in the light-front dynamics and in the model of vector meson dominance