Regular Article

Internal clusterization in the Coulomb few-body systems and stability of the five- and six-body systems with unit charges

Department of Applied Mathematics, University of Western Ontario, London, ON N6H 5B7, Canada

^a e-mail: alex1975frol@gmail.com

Received: 26 April 2018
Received in final form: 3 October 2018
Published online: 18 December 2018

Abstract

Stability of the bound ground states in the six five-body muonic abμe₂ ions (or (abμe₂)⁻) and ten six-body abcμe₂ quasi-molecules is investigated. The notations a, b, c stand for the bare nuclei of three hydrogen isotopes – protium (p), deuterium (p) and tritium (t). All these systems are the Coulomb five- and six-body systems with unit charges. It is found that the ground bound S(L = 0) states are stable in all six five-body abμe₂ ions and in ten six-body abcμe₂ quasi-molecules. As follows from accurate variational computations of the five-body abμe₂ ions their internal structure is similar to the internal structure of the negatively charged hydrogen ion H⁻. Analogously, we show that the internal structures of the six-body neutral abcμe₂ quasi-molecules are similar to the structure of the two-center H₂ molecule which contains two heavy hydrogen nuclei and two bound electrons.