Phenomenology of $f_2(1270)$ photoproduction at energies measured with the CLAS facility

TL;DR

This paper models the photoproduction of the $f_2(1270)$ tensor meson on protons at few-GeV energies using a Regge framework with vector-meson exchanges, predicting differential cross sections and invariant mass distributions.

Contribution

It introduces a Regge-based model for $f_2(1270)$ photoproduction, including $ ho$ and $ ho$ exchanges, and extends to invariant mass distributions with a Breit--Wigner resonance description.

Findings

Calculated differential cross sections for $ o p f_2(1270)$ production.

Extended analysis to $ o ext{pion pairs}$ using Breit--Wigner resonance.

Provided predictions for experimental measurements at CLAS energies.

Abstract

We investigate the photoproduction of the tensor meson $f_2(1270)$ on the proton within a Regge-based framework, focusing on the reaction $\gamma p \to p f_2(1270)$ in the few-GeV energy region. The production mechanism is modeled through the exchange of vector-meson Regge trajectories in the $t$-channel, including both $\rho$ and $\omega$ exchanges with phenomenologically motivated couplings. The scattering amplitudes are derived using Reggeized propagators and effective hadronic vertices, allowing for the calculation of differential cross sections in the narrow-width approximation. We further extend the analysis to the $\pi^+\pi^-$ invariant mass distribution by incorporating a relativistic Breit--Wigner description of the $f_2(1270)$ resonance.