Binding energy and fission of the heavy charged massive particle - nucleus bound state

TL;DR

This paper explores the formation and stability of bound states between a hypothetical heavy charged particle and nuclei, deriving formulas for binding energies and analyzing their increased stability against fission, which could aid in detecting such particles.

Contribution

It introduces an analytic formula for calculating binding energies of heavy charged particles bound to nuclei and assesses their enhanced stability compared to bare nuclei.

Findings

Bound states have large binding energies, increasing particle stability.

Such states are less prone to fission than bare nuclei.

This stability enhances prospects for detecting heavy charged particles.

Abstract

We consider a possibility of capture of a heavy charged massive particle $\chi^-$ by the nucleus leading to appearance of a bound state. A simple analytic formula allowing to calculate binding energies of the $N\chi^-$ bound state for different nuclei is derived. If the binding energy is sufficiently large the particle $\chi^-$ is stable inside the nucleus. The probabilities of the nuclear fissions for such states are calculated. It is shown that the bound states are more stable to a possible fission in comparison to the bare nucleus. This makes an observation of this hypothetical charged massive particle and the superheavy nuclei more probable.