The $He_2^{2+}$ molecular ion can exist in a magnetic field
| dc.creator | Turbiner, A. V. | |
| dc.creator | Guevara, N. L. | |
| dc.date | 2006-10-31 | |
| dc.date.accessioned | 2026-07-07T10:24:04Z | |
| dc.date.available | 2026-07-07T10:24:04Z | |
| dc.description | A detailed study of the ground state of the Coulomb system $(\al \al e e)$ which corresponds to the $He_2^{2+}$ molecular ion in a magnetic field $B=0-4.414 \times 10^{13} $ G in parallel configuration (infinitely massive $\al-$particles are situated along a magnetic field line) is presented. The variational method is employed using a trial function which includes electronic correlation in the form $\exp{(γr_{12})}$ where $γ$ is a variational parameter. It is shown that the quantum numbers of the lowest total energy state depend on the magnetic field strength. It evolves from the spin-singlet ${}^1\Si_g$ metastable state at $0 \leq B \lesssim 0.85$ a.u. to a repulsive spin-triplet ${}^3\Si_u$ state for $0.85 {a.u.} \lesssim B \lesssim 1100$ a.u. and, finally, to a strongly bound spin-triplet ${}^3Π_u$ state at stronger fields $B \gtrsim 1100$ a.u. The lowest vibrational energy for the latter case is calculated. | |
| dc.description | 11 pages, 3 figures, 3 tables | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0610928 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0610928 | |
| dc.identifier | Phys.Rev.A74:063419,2006 | |
| dc.identifier | doi:10.1103/PhysRevA.74.063419 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/176058 | |
| dc.subject | Astrophysics | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Atomic Physics | |
| dc.subject | Quantum Physics | |
| dc.title | The $He_2^{2+}$ molecular ion can exist in a magnetic field | |
| dc.type | text |