H3(Sup (2+)) molecular ion in a strong magnetic field: a triangular configuration

The bound state in the system of three protons and an electron (pppe) under a homogeneous strong magnetic field where the protons are situated in the vertices of an equilateral triangle perpendicular to the magnetic field lines is found. It is shown that for magnetic fields B = 10^11 - 4.414x10^13 G the potential energy curves as a function of the internuclear distance R have an explicit minimum. For all magnetic fields studied, the binding energy of the triangular configuration is less than the binding energy of the linear parallel configuration (A. Turbiner et al. JETP Lett. 69, p. 844). In the contrary to the linear case, the binding energy decreases with a magnetic field growth, while the equilibrium internuclear distance slowly increases.