About the existence of the exotic molecular ions $(HeH)^{2+}$ and $He_2^{3+}$ in a strong magnetic field
| dc.creator | Turbiner, A. V. | |
| dc.creator | Vieyra, J. C. López | |
| dc.date | 2004-12-16 | |
| dc.date | 2006-10-29 | |
| dc.date.accessioned | 2026-07-07T06:37:06Z | |
| dc.date.available | 2026-07-07T06:37:06Z | |
| dc.description | The Coulombic systems $(\al p e)$ and $(\al\al e)$, $(\al p p e)$, $(\al \al p e)$ and $(Li^{3+} Li^{3+} e)$ placed in a magnetic field $B \gtrsim 10^{11} {G}$ are studied. It is demonstrated a theoretical existence of the exotic ion $(He H)^{2+}$ for $B\gtrsim 5\times 10^{12} {G}$ in parallel configuration (the magnetic field is directed along internuclear axis) as optimal as well as its excited states $1π, 1δ$. As for the exotic ion ${He}_{2}^{3+}$ it is shown that in spite of strong electrostatic repulsion of $\al-$particles this ion can also exist for $B \gtrsim 100 {a.u.} (= 2.35\times 10^{11} {G})$ in parallel configuration as optimal in the states $1\si_g$ (ground state), $1π_u, 1δ_g$. Upon appearance both ions are unstable towards dissociation with $He^+$ in the final state but with very large lifetime. However, at $B\gtrsim 10000$ a.u. the ion $(He H)^{2+}$ becomes stable, while at $B\gtrsim 1000$ a.u. the ion ${He}_{2}^{3+}$ becomes stable. With a magnetic field growth, both exotic ions become more and more tightly bound and compact, their lowest rotational and vibrational energies grow. At the edge of applicability of non-relativistic approximation, $B \sim 4.414 \times 10^{13}$ G, there are indications that three more exotic linear ions $(H-He-H)^{3+}$, $(He-H-He)^{4+}$ and even $Li_2^{5+}$ in parallel configuration may also occur. | |
| dc.description | 24 pages, 11 Figures, 7 Tables, revtex4 (preprint single column format). The text is slightly modified. To Table 4 a complete set of the lowest rotational energies for the ${He}_{2}^{3+}$ is added. Also a behavior of the rotational and vibrational energies viz magnetic field is briefly discussed | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0412399 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0412399 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100275 | |
| dc.subject | Astrophysics | |
| dc.title | About the existence of the exotic molecular ions $(HeH)^{2+}$ and $He_2^{3+}$ in a strong magnetic field | |
| dc.type | text |