Effective Field Theory calculations of $NN\to NN\pi$

Abstract

In this review we present the recent advances for calculations of the reactions $NN\to NN\pi$ using chiral effective field theory. Discussed are the next-to-next-to leading order loop contributions with nucleon and Delta-isobar for near threshold s-wave pion production. Results of recent experimental pion-production data for energies close to the threshold are analyzed. Several particular applications are discussed: (i) it is shown how the measured charge symmetry violating pion-production reaction can be used to extract the strong-interaction contribution to the proton-neutron mass difference; (ii) the role of $NN\to NN\pi$ for the extraction of the pion-nucleon scattering lengths from pionic atoms data is illuminated.

68 pages, 23 figures, to be published in Int. J. Mod. Phys. E

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• Charge Symmetry Breaking in dd->4Heπ0 with WASA-at-COSY
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• An update of muon capture on hydrogen
• Threshold pion production in proton-proton collisions at NNLO in chiral EFT
• Importance of d-wave contributions in the charge symmetry breaking reaction $dd\to {}^4\text{He}{\pi }^0$
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He