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

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}.

11 pages

References in corpus (5)

• Chiral Perturbation Theory and Baryon Properties
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Pion reactions on two--nucleon systems
• Workshop on exotic hadronic atoms, deeply bound kaonic nuclear states and antihydrogen: present results, future challenges

Cited by in corpus (6)

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• Two-pion-exchange and other higher-order contributions to the $pp\to pp{\pi }^0$ reaction
• The nucleon recoil effect in antikaon-deuteron scattering at threshold
• Non-Strange Meson Production with Hadronic Probes
• Nucleon mass: trace anomaly and $\sigma$-terms