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

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.