Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory

TL;DR

This paper analyzes the influence of the delta isobar on pion-deuteron scattering at threshold using chiral effective field theory, completing calculations up to a specific order and quantifying the delta's contribution to the scattering length.

Contribution

It provides a detailed calculation of delta isobar effects in pion-deuteron scattering within chiral EFT up to order (m_pi/M_N)^(3/2), advancing theoretical understanding.

Findings

Delta contributions to scattering length: (2.4 +/- 0.4) x 10^(-3) m_pi^{-1}

Complete evaluation of diagrams up to order (m_pi/M_N)^(3/2)

Clarifies the role of delta isobar in low-energy pion-deuteron interactions

Abstract

We investigate the role of the delta isobar in the reaction $\pi d\to \pi d$ at threshold in chiral effective field theory. We discuss the corresponding power counting and argue that this calculation completes the evaluation of diagrams up to the order (m_pi/M_N)^(3/2), with m_pi (M_N) for the pion (nucleon) mass. The net effect of all delta contributions at this order to the pion-deuteron scattering length is (2.4 +/- 0.4)x 10^(-3) m_pi^{-1}.