Abstract
A study of what would the atomic–molecular physics be in an external strong magnetic field is presented. Emphasis is made on one-electron systems which seem the most bound, since two- and more-electron systems are weakly bound due to their maximal total spin nature. We demonstrate that the Coulombic systems (αpe) and (ααe) placed in (astro-physically relevant) magnetic fields B>1011 G become bound. It manifests a theoretical existence of the exotic ions ( HeH )2+ and [Formula: see text] with parallel configuration (the magnetic field is directed along the internuclear axis) as optimal. Both ions are unstable towards dissociation but do have very large lifetimes. At B>1000 a.u. the ion [Formula: see text] becomes stable and even becomes the most stable among one-electron ions made from protons and/or α-particles. A table of one-electron atomic–molecular systems which may exist in a strong magnetic field is given.
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