One-electron atomic-molecular ions containing Lithium in a strong magnetic field

Abstract

The one-electron Li-containing Coulomb systems of atomic type $(li,e)$ and molecular type $(li,li,e)$, $(li,\hat{I}\pm ,e)$ and $(li,p,e)$ are studied in the presence of a strong magnetic field $B\le 10^7$ a.u. in the non-relativistic framework. They are considered at the Born-Oppenheimer approximation of zero order (infinitely massive centers) within the parallel configuration (molecular axis parallel to the magnetic field). The variational and Lagrange-mesh methods are employed in complement to each other. It is demonstrated that the molecular systems ${\mathrm{LiH}}^{3+}$, ${\mathrm{LiHe}}^{4+}$ and ${\mathrm{Li}}_2^{5+}$ can exist for sufficiently strong magnetic fields $B\gtrsim 10^4$ a.u. and that ${\mathrm{Li}}_2^{5+}$ can even be stable at magnetic fields typical of magnetars.

22 pages, 9 figures, 4 tables