Pion--deuteron scattering length in Chiral Perturbation Theory up to order \chi^{3/2}

TL;DR

This paper performs a comprehensive calculation of pion-deuteron scattering length corrections up to order χ^{3/2} using Chiral Perturbation Theory, including dispersive effects and Δ resonance contributions, with parameters fitted from experimental data.

Contribution

It provides the first complete order χ^{3/2} calculation of pion-deuteron scattering length, incorporating dispersive effects and Δ resonance explicitly.

Findings

Calculated scattering length corrections up to order χ^{3/2}

Extracted s-wave pion-nucleon scattering parameters from experimental data

Quantified the impact of Δ resonance on scattering length

Abstract

A complete calculation of the corrections to pion-deuteron scattering length up to order $\chi^{3/2}$ with $\chi=m_{\pi}/M_{N}$ is performed. The calculation includes the dispersive contributions and corrections due to the explicit treatment of the $\Delta$ resonance. s-wave pion-nucleon scattering parameters are extracted from a combined analysis of modern experimental data.