Abstract
A study of the antinucleon-nucleon interaction within chiral effective theory is presented. This novel approach suggested by Weinberg for investigating nucleon-nucleon interaction can be adapted straightforwardly to the antinucleon-system. The antinucleon-nucleon potential is derived up to next-to-next-to-next-order in the chiral expansion. The low-energy constants associated with arising contact interactions are fixed by a fit to phase shifts and inelasticities provided by a recently published phase-shift analysis of antiproton-proton scattering data. Theachieved description of the antinucleon-nucleon amplitudes is excellent and of a qualitycomparable to the one found in case of the nucleon-nucleon interaction at the same order.
Highlights
Over the last decade there has been a renewed interest in antinucleon-nucleon (N N) scattering phenomena
From activities related to the N N interaction planned for the Facility for Antiproton and Ion Research (FAIR) in Darmstadt whose construction is on its way
A complete overview of our investigation of N N scattering up to N3LO in chiral effective field theory (EFT) can be found in Ref. [20]
Summary
Over the last decade there has been a renewed interest in antinucleon-nucleon (N N) scattering phenomena. The PANDA project aims at a study of the interactions between antiprotons and fixed target protons and nuclei in the momentum range of 1.5−15 GeV/c using the high energy storage ring HESR [12] In this context the proposal by the PAX Collaboration [13] should be mentioned, though it is not in the core program of FAIR. Like in the NN case, the long-range part of the N N potential is completely fixed by the underlying chiral symmetry of pion-nucleon dynamics In this contribution I review a N N potential derived in a chiral EFT approach up to next-to-nextto-next-to leading order (N3LO). This approach can be adopted for performing an analogous analysis for our N N results
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