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Research Article

Table 2

Details on PROSPER’s peak flux fits for the CME bins, derived by equation (13). The filtering on the integral energy is first applied, and then there are two bins. One for the width of the CME (i.e., AW = 360°Halo or AW < 360° Not Halo) and one for the CME speed (i.e., V CME being < or ≥ 1250 km/s). These fits are presented in Figure 7.

If an event reaches E > 10 MeV
AW = 360° (Halo – H) AW < 360° (Not Halo)

V CME < 1250 km/s V CME ≥ 1250 km/s V CME < 1250 km/s V CME ≥ 1250 km/s

γ = 0.36 γ = 0.26 γ = 0.53 γ = 0.32
x low = 3.68E+00 x low = 6.38E+00 x low = 2.50E+00 x low = 4.00E+00
x lim = 5.37E+01 x lim = 1.18E+04 x lim = 1.49E+03 x lim = 8.95E+03

If an event reaches E > 30 MeV
AW = 360° (Halo – H) AW = 360° (Halo – H)

V CME < 1250 km/s V CME ≥ 1250 km/s V CME < 1250 km/s V CME ≥ 1250 km/s

E > 10 MeV E > 30 MeV

γ = 0.30 γ = 0.26 γ = 1.09 γ = 0.30
x low = 3.68E+00 x low = 6.38E+00 x low = 1.23E+00 x low = 1.24E+00
x lim = 5.27E+01 x lim = 1.19E+04 x lim = 1.54E+02 x lim = 2.27E+03

AW < 360° (Not Halo) AW < 360° (Not Halo)

V CME < 1250 km/s V CME ≥ 1250 km/s V CME < 1250 km/s V CME ≥ 1250 km/s

γ = 0.45 γ = 0.30 γ = 0.58 γ = 0.32
x low = 3.94E+00 x low = 5.72E+00 x low = 9.06E−01 x low = 6.71E−01
x lim = 9.96E+02 x lim = 8.55E+03 x lim = 3.23E+03 x lim = 3.51E+03

If an event reaches E > 100 MeV
No bin
All data points

E > 10 MeV E > 30 MeV E > 100 MeV

γ = 0.26 γ = 0.28 γ = 0.41
x low = 9.50E+00 x low = 2.30E+00 x low = 3.02E−01
x lim = 1.19E+04 x lim = 2.04E+03 x lim = 2.58E+02

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