Final state interaction in kaons decays
S.R.Gevorkyan, A.V. Tarasov, O.O. Voskresenskaya

TL;DR
This paper develops a non-relativistic quantum mechanics framework to analyze how final state interactions, including strong and electromagnetic forces, influence kaon decay amplitudes into pion pairs.
Contribution
It introduces a comprehensive method to calculate decay amplitudes considering all orders of strong interactions and electromagnetic effects in kaon decays.
Findings
Derived general expressions for decay amplitudes with final state interactions.
Provides a way to estimate contributions of higher-order strong interaction terms.
Accurately accounts for electromagnetic interactions between pions.
Abstract
The kaons decays to the pairs of charged and neutral pions are considered in the framework of the non-relativistic quantum mechanics. The general expressions for the decay amplitudes to the two different channels accounting for the strong interaction between pions are obtained. The developed approach allows one to estimate the contribution of terms of any order in strong interaction and correctly takes into account the electromagnetic interaction between the pions in the final state.
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