El ión molecular exótico $H_4^{3+}$ en un campo magnético intenso

Abstract

Using the variational method, a detailed study of the lowest $m=0,-1$ electronic states of the exotic molecular ión $H_4^{3+}$ in a strong magnetic field, in the linear symmetric configuration parallel to the direction of the magnetic field is carried out. A extended study of the $1\sigma_g$ ground state (J.C. López and A.Turbiner, Phys. Rev. \bf A 62, 022510, 2000) was performed obtaining that the potential energy curve displays a sufficiently deep minimum for finite internuclear distances, indicating the possible existence of the molecular ión $H_4^{3+}$, for magnetic fields of strength $B\gtrsim 3\times10^{13}$\,G. It is demonstrated that the excited state $1\pi_u$ can exist for a magnetic field $B=4\textrm{.}414\times10^{13}$\,G corresponding to the limit of applicability of the non-relativistic theory.