Tensor meson photoproduction as a final state interaction effect

TL;DR

This paper introduces a model for f_2(1270) meson photoproduction based on final state pion-pion interactions, enabling the use of scattering data to predict experimental observables while maintaining theoretical consistency.

Contribution

It presents a novel approach that treats tensor mesons as dynamically generated from final state interactions, linking scattering data to photoproduction processes.

Findings

Provides differential cross sections and pi pi mass distributions.

Calculates partial wave strengths for various f_2(1270) helicities.

Enables analysis of angular distribution moments and spin density matrices.

Abstract

The model is presented to describe the f_2(1270) meson photoproduction as a result of pion-pion interactions in the final state. Treating tensor mesons as objects dynamically created due to final state interactions is a convenient and straightforward way to employ data from pi pi scattering like phase shifts and inelasticities for description of (photo)production reactions while retaining proper analytical structure of amplitudes, two particle unitarity and crossing symmetry. The model presented here can provide experimentally testable quantities like differential cross sections and pi pi mass distributions as well as the strengths of partial waves corresponding to various f_2(1270) helicities which are essential for partial wave analyses. It can also be used to compute moments of angular distribution and spin density matrix elements where partial wave interference effects are important.