A study of the excited radial vector meson $\rho$

TL;DR

This paper investigates the decay properties of the radially excited $ ho$ meson using an effective model, testing different mass assignments to compare theoretical decay widths and branching ratios with experimental data.

Contribution

It provides a detailed analysis of the decay behaviors of the $ ho(1450)$ and other possible excitations, exploring mass dependence and comparing with experimental observations.

Findings

Decay widths and branching ratios calculated for different mass hypotheses.

Results show dependence of decay properties on assumed mass.

Comparison with experimental data supports certain mass assignments.

Abstract

We study the strong and radiative decays of the radial excitation of the $\rho$ meson, with quantum numbers $n$ $^{2S+1}L_{J}=2$ $^{3}S_{1},$ $I=1$, and denoted as $\rho_{E}$, by making use of an effective model. We test different masses: $1.45$ GeV, corresponding to well known assignment $\rho_{E}\equiv\rho(1450)$ state; $1.25$ GeV for the assignment $\rho _{E}\equiv\rho(1250)$ (a resonance whose existence has not yet been confirmed), and $1.35$ GeV, which lies just in the middle between them in order to study the dependence of the results on the mass. The decay widths for different decay processes and two branching ratios of the radially excited meson $\rho_{E}$ were determined and compared to the experimental data reported in the Particle Data Group.