Abstract
In the present work, quasi-molecular compounds consisting of one antiproton ( p ¯ ) and one hydrogen-like ion are investigated: He + − p ¯ , Li 2 + − p ¯ , C 5 + − p ¯ , S 15 + − p ¯ , Kr 35 + − p ¯ , Ho 66 + − p ¯ , Re 74 + − p ¯ , U 91 + − p ¯ . For the calculations, the Dirac equation with two-centre potential is solved numerically using the dual-kinetically balanced finite-basis-set method adapted to systems with axial symmetry (A-DKB). Adiabatic potential curves are constructed for the ground state of the above quasi-molecular compounds in the framework of the A-DKB approach. Calculations were also performed for the case of an external magnetic field (the field is taken into account non-perturbatively). Zeeman shifts of the quasi-molecular terms are obtained for a homogeneous magnetic field with a strength of the laboratory order (up to 100 Tesla) directed along the axis of the molecule.
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