On the bound state of the antiproton-deuterium-tritium ion

TL;DR

This paper investigates the properties, hyperfine structure, and stability of the weakly-bound antiproton-deuterium-tritium ion using high-precision calculations, exploring its potential for nuclear fusion and annihilation rate estimation.

Contribution

It provides the first detailed analysis of the $ar{p}dt$ ion's bound state, hyperfine structure, and lifetime, including implications for nuclear fusion and annihilation processes.

Findings

Determined the properties of the weakly-bound $S$-state in the $ar{p}dt$ ion.

Analyzed the hyperfine structure splitting of the ion.

Estimated the ion's lifetime against nuclear fusion and annihilation.

Abstract

The properties of the weakly-bound $S(L = 0)-$state in the $\bar{p}dt$ ion are investigated with the use of the results of highly accurate computations. The hyperfine structure splitting of this ion is investigated. We also evaluate the life-time of the $\bar{p}dt$ ion against the nuclear $(d,t)-$fusion and discuss a possibility to evaluate the corresponding annihilation rate(s).