Anomalous Isotopes In Dark Atoms models

TL;DR

This paper investigates the formation of anomalous isotopes in dark atom models by analyzing bound states with helium nuclei and calculating their abundance during Big Bang nucleosynthesis.

Contribution

It introduces a method to compute wave functions of dark atom bound states with finite-size nuclei and estimates anomalous isotope concentrations during early universe nucleosynthesis.

Findings

Calculated wave functions for dark atom bound states.

Estimated abundance of anomalous isotopes like OBe.

Provided a cross section analogy for helium capture processes.

Abstract

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 $^4He^{++}$. 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.