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This paper presents results of an ongoing survey on the associations betweenmuon excesses at ground level registered by the Tupi telescopes and transientsolar events, two solar flares whose gamma-ray and X-ray emissions werereported by, respectively, the Fermi GBM and the GOES 14. We show that solarflares of small scale, those with prompt X-ray emission classified by GOES asC-Class (power $10^{-6}$ to $10^{-5}$ W m$^2$ at 1 AU) may give rise to muonexcess probably associated with solar protons and ions emitted by the flare andarriving at the Earth as a coherent particle pulse. The Tupi telescopes arewithin the central region of the South Atlantic Anomaly (SAA), which allowsparticle detectors to achieve a low rigidity of response to primary andsecondary charged particles ($\geq 0.1$ GV). Here we argue for the possibilityof a "scale-free" energy distribution of particles accelerated by solar flares.Large and small scale flares have the same energy spectrum up to energiesexceeding the pion production, the difference between them is only theintensity. If this hypothesis is correct, the Tupi telescope is registeringmuons produced by protons (ions) whose energy corresponds to the tail of thespectrum. Consequently the energy distribution of the emitted protons has to bea power law spectrum, since power law distributions are characterized as scalefree distributions. The Tupi events give support to this conjecture.

Muon excess at sea level from solar flares in association with the Fermi GBM spacecraft detector