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

Abstract

Stability of the bound ground states in the six five-body muonic $ab\mu e_2$ ions (or $(ab\mu e_2{)}^{-}$) and ten six-body $abc\mu e_2$ quasi-molecules is investigated. The notations $a,b,c$ stand for the bare nuclei of three hydrogen isotopes - protium ($p$), deuterium ($d$) 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 $ab\mu e_2$ ions and in ten six-body $abc\mu e_2$ quasi-molecules. As follows from accurate variational computations of the five-body $ab\mu e_2$ 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 $abc\mu e_2$ quasi-molecules are similar to the structure of the two-center H${}_2$ molecule which contains two heavy hydrogen nuclei and two bound electrons.

arXiv admin note: text overlap with arXiv:1612.08730

References in corpus (3)

• Bound state spectra of three-body muonic molecular ions
• Bound state properties and photodetachment of the negatively charged hydrogen ions
• Mass corrections for the bound states in the muonic molecular ions

Cited by in corpus (2)

• The MC-QTAIM: A framework for extending the atoms in molecules analysis beyond purely electronic systems
• The conceptual and mathematical foundations of the MC-QTAIM