He${}_2^{3+}$ and HeH${}^{2+}$ molecular ions in a strong magnetic field: the Lagrange mesh approach

Abstract

Accurate calculations for the ground state of the molecular ions He${}_2^{3+}$ and HeH${}^{2+}$ placed in a strong magnetic field $B\gtrsim 10^2$ a.u. ($\approx 2.35\times 10^{11}$G) using the Lagrange-mesh method are presented. The Born-Oppenheimer approximation of zero order (infinitely massive centers) and the parallel configuration (molecular axis parallel to the magnetic field) are considered. Total energies are found with 9-10 s.d. The obtained results show that the molecular ions He${}_2^{3+}$ and HeH${}^{2+}$ exist at $B>100$\,a.u. and $B>1000$\,a.u., respectively, as predicted in \cite{Tu:2007} while a saddle point in the potential curve appears for the first time at $B\sim 80$ a.u. and $B\sim 740$ a.u., respectively.

8 pages, 1 figure, 2 tables. arXiv admin note: text overlap with arXiv:0912.1043

References in corpus (3)

• Charged Hydrogenic, Helium and Helium-Hydrogenic Molecular Chains in a Strong Magnetic Field
• One-electron atomic-molecular ions containing Lithium in a strong magnetic field
• A helium-hydrogenic molecular atmosphere of neutron star 1E1207.4-5209