Charge symmetry breaking as a probe for the real part of eta--nucleus scattering lengths

Abstract

We demonstrate that one can use the occurrence of charge symmetry breaking as a tool to explore the eta--nucleus interaction near the eta threshold. Based on indications that the cross section ratio of pi+ and pi0 production on nuclei deviates from the isotopic value in the vicinity of the eta production threshold, due to, e.g., pi0-eta mixing, we argue that a systematic study of this ratio as a function of the energy would allow to pin down the sign of the real part of the eta-nucleus scattering length. This sign plays an important role in the context of the possible existence of eta-nucleus bound states.

arXiv comment4 pages, 1 figure

References in corpus (8)

• Near-Threshold Production of $\eta$-Mesons
• Eta-Helium Quasi-Bound States
• Are there eta-Helium bound states?
• Dependence of calculated binding energies and widths of $\eta$-mesic nuclei on treatment of subthreshold $\eta$-nucleon interaction
• Analysis of the low-energy $\eta$NN-dynamics within a three-body formalism
• Final state interactions in the eta-d system
• Nonexistence of a $\eta NN$ quasibound state
• Low-energy eta-d resonance

Cited by in corpus (6)

• Bounds on the bound η^3He system
• The $\eta {-}^3$He scattering length revisited
• Study of the 3He-eta system in d-p collisions
• On eta-pi mixing close to the eta-Helium threshold
• Spin observables of the reaction pd-3He eta and quasi-bound 3He-eta pole
• Physics at COSY