Improved calculations of the lowest vibrational transitions in He H

摘要: More accurate variational calculations of the lowest three pure vibrational states $(v=0,1,2)$ $^{4}\mathrm{He}{\mathrm{H}}^{+}$ molecular ion have been carried out without assuming Born-Oppenheimer approximation. In we included complete set ${\ensuremath{\alpha}}^{2}$ relativistic corrections, i.e., mass-velocity, Darwin, spin-spin, and orbit-orbit. This allowed us to improve agreement between theory experiment for frequencies $1\ensuremath{\rightarrow}0$ $2\ensuremath{\rightarrow}1$ transitions as compared our previous [Stanke et al., Phys. Rev. Lett. 96, 233002 (2006)].