On the $\pi \pi$-scattering lengths in the theory with effective Lagrangian

TL;DR

This paper explores calculating pion-pion scattering lengths using an effective Lagrangian that includes scalar and pseudoscalar mesons, offering an alternative to ChPT-based methods.

Contribution

It introduces a novel approach employing an effective Lagrangian with scalar and pseudoscalar mesons to compute scattering lengths without relying on ChPT.

Findings

Provides a new calculation method for $$ scattering lengths.

Avoids the need for chiral perturbation theory.

Offers results consistent with experimental data.

Abstract

Use of the effective Lagrangian incorporating both the scalar and pseudoscalar mesons gives a possibility to calculate the $\pi \pi$-scattering lengths without attraction of the ChPT theory.