# Lattice Charge Overlap II: Aspects of Charged Pion Polarizability

## TL;DR

This paper develops formulas for lattice studies of charged hadron polarizabilities, focusing on the charged pion, and presents preliminary results indicating a small negative valence quark contribution.

## Contribution

It introduces formulas for lattice calculations of charged pion polarizability and provides initial lattice results for the valence quark component.

## Key findings

- Valence quark component is small and negative.
- Results obtained on a $16^{3}\times 24$ lattice at $eta=6.0$.
- Uses elastic limit formulas from Part I of the series.

## Abstract

Formulas are developed for use in lattice studies of charged hadron polarizabilities. In particular, the valence quark different-flavor component of the charged pion polarizability is examined on a $16^{3}\times 24$ lattice at $\beta=6.0$ using Wilson fermions. Using the elastic limit results of Part I of this series, it is concluded that this represents a small negative component of the full charged polarizabilty.