Figure 8
From: Differentiating multi-MeV, multi-ion spectra with CR-39 solid-state nuclear track detectors
Sensitivity scan for alpha particles. The figure shows the variation of the total χ2 value for all six filtered CR-39 used in the array, when the assumed number of alpha particles N0 and their average energy µ or temperature kBT are varied. In (a), we assumed a Gaussian spectrum, characterized by N0 and µ, with a full-width-at-half maximum of 1 MeV. To generate this plot, the input parameters for all three particles were sampled 50,000 times with a MC method and afterwards filtered by only those parameters that are within ± 25% of the global minimum. The MC scan reveals a global optimum, marked by the dashed lines. In (b), we show results of a second MC scan assuming an exponential distribution, characterized by N0 and kBT, described by Eq. (4), instead of a Gaussian, which results in a global optimum at zero.
