Bound state spectra of three-body muonic molecular ions

Abstract

The results of highly accurate calculations are presented for all twenty-two known bound $S(L=0)-,P(L=1)-,D(L=2)-$ and $F(L=3)-$states in the six three-body muonic molecular ions $pp\mu ,pd\mu ,pt\mu ,dd\mu ,dt\mu$ and $tt\mu$. A number of bound state properties of these muonic molecular ions have been determined numerically to high accuracy. The dependence of the total energies of these muonic molecules upon particle masses is considered. We also discuss the current status of muon-catalysis of nuclear fusion reactions.

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References in corpus (1)

• Highly accurate calculations of the rotationally excited bound states in three-body systems

Cited by in corpus (8)

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• Highly accurate bound state calculations of the two-center molecular ions by using the universal variational expansion for three-body systems
• The MC-QTAIM: A framework for extending the atoms in molecules analysis beyond purely electronic systems
• Internal clusterization in the Coulomb few-body systems and stability of the five- and six-body systems with unit charges
• Bound state properties of four-body muonic quasi-atoms
• Application of hyperspherical harmonics expansion method to the low-lying bound S-states of exotic two-muon three-body systems
• The conceptual and mathematical foundations of the MC-QTAIM
• Bound and Resonant States of Muonic Few-Body Coulomb Systems: Extended Stochastic Variational Approach