Polarization effects in $\bar N+N\to \pi +\ell^++\ell^-$ reaction. General analysis and numerical estimations
G. I. Gakh, A. P. Rekalo, E.~Tomasi-Gustafsson, J.~Boucher, A. G. Gakh
TL;DR
This paper develops a comprehensive formalism to analyze polarization effects in the antinucleon-nucleon to pion and lepton pair reaction, providing numerical predictions relevant for the PANDA experiment at FAIR.
Contribution
It introduces a general formalism expressing the reaction's matrix element and observables in terms of six scalar amplitudes, enabling detailed polarization analysis.
Findings
Derived expressions for cross sections and polarization observables.
Numerical estimations within a specific model for PANDA kinematics.
Framework applicable to experimental data analysis at FAIR.
Abstract
A general formalism is developed to calculate the cross section and the polarization observables for the reaction . The matrix element and the observables are expressed in terms of six scalar amplitudes (complex functions of three kinematical variables) which determine the reaction dynamics. The numerical predictions are given in frame of a particular model in the kinematical range accessible in the PANDA experiment at FAIR.
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