Muonic–electronic quasi molecules based on a fully stripped multicharged ion
- 1 November 2014
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 92 (11), 1405-1410
- https://doi.org/10.1139/cjp-2013-0705
Abstract
In our previous paper (Can. J. Phys. 91, 715 (2013) doi: 10.1139/cjp-2013-0077 ) we studied a system consisting of a proton, a muon, and an electron; the muon and the electron being in circular states. The study was motivated by numerous applications of muonic atoms and molecules, where one of the electrons is substituted by the heavier lepton μ–. We demonstrated that in such a μpe quasi molecule, the muonic motion can represent a rapid subsystem while the electronic motion can represent a slow subsystem — a result that may seem counterintuitive. In other words, the muon rapidly revolves in a circular orbit about the axis connecting the proton and electron while this axis slowly rotates following a relatively slow electronic motion. We showed that the spectral lines, emitted by the muon in the quasi molecule, μpe, experience a red shift compared to the corresponding spectral lines that would have been emitted by the muon in a muonic hydrogen atom. In the present paper we generalize this study by replacing the proton in the μpe quasi molecule by a fully stripped ion of nuclear charge Z > 1. We show that in this case, just as in the previously studied case of Z = 1, the muonic motion can represent a rapid subsystem while the electronic motion can represent a slow subsystem. For this to be valid, the ratio of the muonic and electronic angular momenta should be slightly greater than in the case of Z = 1. We demonstrate that the binding energies of the muon for Z > 1 are much greater than for Z = 1 at any finite value of the nucleus–electron distance. Finally we show that the red shift of the spectral lines emitted by the muon (compared to the spectral lines of the corresponding muonic hydrogen-like ion of nuclear charge Z) decreases as Z increases. However, the relative red shift remains within the spectral resolution of available spectrometers at least up to Z = 5. Observing this red shift should be one of the ways to detect the formation of the quasi molecules, μZe.Keywords
This publication has 13 references indexed in Scilit:
- Experimental confirmation of circular Rydberg states with projectile-like ionsJournal of Physics B: Atomic, Molecular and Optical Physics, 2009
- Plasma screening within Rydberg atoms in circular statesThe European Physical Journal D, 2008
- Magnetic stabilization of a Rydberg quasimolecule in circular statesPhysical Review A, 2006
- Circular Rydberg states of hydrogenlike systems in collinear electric and magnetic fields of arbitrary strengths: an exact analytical classical solutionThe European Physical Journal D, 2004
- Recent progress in muon catalyzed fusionNuclear Physics A, 2003
- Astrophysical detection of heavy-particle-induced spectral shifts in muonic ironPhysical Review D, 2002
- The nuclear physics of muon capturePhysics Reports, 2001
- A purely classical description of crossings of energy levels and spectroscopic signatures of charge exchangeJournal of Physics B: Atomic, Molecular and Optical Physics, 2000
- Muon catalysed fusionContemporary Physics, 1990
- Time-dependent quantal treatment of muon-hydrogen collisionsPhysical Review A, 1987