Anomalous Isotopes In Dark Atoms models

In this work, we study some aspects of the dark atom model. We consider a finite-size nucleus to find the wave functions of the bound state of a stable particle with a charge of $-2n$ and helium-4 ${}^{4}H{e}^{++}$. Then we address the problem of calculating the abundance of anomalous isotopes arising from the capture of helium nuclei by dark atoms during Big Bang nucleosynthesis. We use an analogy with the proton-neutron capture process to calculate the reaction cross section and thus determine the concentration of OBe nuclei.