Generalized polarizability of neutral pions of the process $e^- e^+ \to \pi^0\pi^0\gamma$ in NJL model

TL;DR

This paper analyzes the differential distributions of the neutral pion system in electron-positron annihilation using the NJL model, highlighting the potential to measure the pion's generalized polarizability experimentally.

Contribution

It provides a theoretical framework for the differential distributions in the $e^- e^+ o \pi^0\pi^0\gamma$ process and discusses how to extract the neutral pion's generalized polarizability.

Findings

Distribution formulas in general and vector meson approximation

Potential to measure neutral pion polarizability in experiments

Numerical results illustrating the distributions

Abstract

Differential distributions in the $\pi_0\pi_0\gamma$ system created in the annihilation channel of an electron-positron collision are considered. The energy fractions of the pions (Dalitz-plot) distribution are presented in a general form and in approximation of intermediate vector mesons (excited and ordinary ones).It is pointed out that in relevant experiments the generalized polarizability of the neutral pion can be measured. Numerical illustrations are presented.