The H$_2^+$ ion in a strong magnetic field. Lowest excited states

Details The H$_2^+$ ion in a strong magnetic field. Lowest excited states The H$_2^+$ ion in a strong magnetic field. Lowest excited states

2003-10-29

arxiv.org/abs/astro-ph/0310849v1

Phys.Rev.A69:053413,2004

Astronomy and Astrophysics

Astrophysics

25 pages, 2 figures

Scientific paper

10.1103/PhysRevA.69.053413

As a continuation of our previous work ({\it Phys. Rev. A68, 012504 (2003)}) an accurate study of the lowest $1\si_g$ and the low-lying excited $1\si_u$, $2\si_g$, $1\pi_{u,g}$, $1\de_{g,u}$ electronic states of the molecular ion $H_2^+$ is made. Since the parallel configuration where the molecular axis coincides with the magnetic field direction is optimal, this is the only configuration which is considered. The variational method is applied and the {\it same} trial function is used for different magnetic fields. The magnetic field ranges from $10^9 G$ to $4.414 \times 10^{13} G$ where non-relativistic considerations are justified. Particular attention is paid to the $1\si_u$ state which was studied for an arbitrary inclination. For this state a one-parameter vector potential is used which is then variationally optimized.

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