Lower limits on the nucleosynthezis of Ti and Fe in the dynamic spiral-arms model
arXiv:1711.05416 · doi:10.3847/1538-4357/aad08e
Abstract
We have previously focused on studying the electron-capture isotopes within the dynamic spiral-arms model and empirically derived the energy dependence of the electron attachment rate using the observation of Ti/V and V/Cr ratios in cosmic rays (Benyamin et al. 2017). We have also shown how this relation recovers the energy dependence seen in the lab measurements (Letaw et al. 1985). In this work we use this relation to construct the Ca/Ti ratio and place a lower limit on the amount of Ti that is required to be nucleosynthesized at the source. The results also imply that the acceleration process of the radioisotopes cannot be much longer than a century time scale (or else the required nucleosynthesized amount has to be correspondingly larger). We also provide a similar lower limit on the source Fe by comparing to the recently observed Fe/Fe (Binns et al. 2016).
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