The axial U(1) anomaly is not physical, allowing eta and eta' to be NG bosons consistent with the U(1) problem.
Feasibility Study of Observing eta' Mesic Nuclei with (p,d) Reaction
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abstract
A novel method is proposed to measure eta'(958) meson bound states in 11C nuclei by missing mass spectroscopy of the 12C(p,d) reaction near the eta' production threshold. It is shown that peak structures will be observed experimentally in an inclusive measurement in case that the in-medium eta' mass reduction is sufficiently large and that the decay width of eta' mesic states is narrow enough. Such a measurement will be feasible with the intense proton beam supplied by the SIS synchrotron at GSI combined with the good energy resolution of the fragment separator FRS.
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Irrelevance of Anomalous Breaking of Axial U(1) Symmetry and the U(1) Problem
The axial U(1) anomaly is not physical, allowing eta and eta' to be NG bosons consistent with the U(1) problem.