Cosmic-ray protons with energies above 1016 eV passing near the Sun may
interact with photons emitted by the Sun and be excited to a Δ+
resonance. When the Δ+ decays, it produces pions which further decay to
muons and photons which may be detected with terrestrial detectors. A flux of
muons, photon pairs (from π0 decay), or individual high-energy photons
coming from near the Sun would be a rather striking signature, and the flux of
these particles is a fairly direct measure of the flux of cosmic-ray nucleons,
independent of the cosmic-ray composition. In a solid angle within 15∘
around the Sun the flux of photon pairs is about \SI{1.3e-3}{}
particles/(km2⋅yr), while the flux of muons is about \SI{0.33e-3}{}
particles/(km2⋅yr). This is beyond the reach of current detectors like
the Telescope Array, Auger, KASCADE-Grande or IceCube. However, the muon flux
might be detectable by next-generation air shower arrays or neutrino detectors
such as ARIANNA or ARA. We discuss the experimental prospects in some detail.
Other cosmic-ray interactions occuring close to the Sun are also briefly
discussed.Comment: 8 pages, 11 figure