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EXOTIC MOLECULAR IONS (HeH)²⁺ AND IN A STRONG MAGNETIC FIELD: LOW-LYING STATES

A. V. TURBINER

Instituto de Ciencias Nucleares, UNAM, Apartado Postal 70-543, 04510, México

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and

J. C. LÓPEZ VIEYRA

Instituto de Ciencias Nucleares, UNAM, Apartado Postal 70-543, 04510, México

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https://doi.org/10.1142/S0217751X0703635XCited by:7 (Source: Crossref)

Abstract

The Coulombic systems (αpe) and (ααe), (αppe), (ααpe) and (Li³⁺Li³⁺e) placed in a magnetic field B ≳ 10¹¹G are studied. It is demonstrated a theoretical existence of the exotic ion (HeH)²⁺ for B ≳ 5 × 10¹²G 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 it is shown that in spite of strong electrostatic repulsion of α-particles this ion can also exist for B ≳ 100 a.u. (= 2.35 × 10¹¹G) in parallel configuration as optimal in the states 1σ_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 ≳ 10000 a.u., the ion (HeH)²⁺ becomes stable, while at B ≳ 1000 a.u., the ion becomes stable. For both ions the vibrational and rotational energies are calculated. With a magnetic field growth, both exotic ions become more and more tightly bound and compact, their lowest rotational and vibrational energies grow drastically. At the edge of applicability of nonrelativistic approximation, B ~ 4.414 × 10¹³G, there are indications that three more exotic linear ions (H–He–H)³⁺, (He–H–He)⁴⁺ and even in parallel configuration may also occur.

Keywords:

PACS: 31.15.Pf, 31.10.+z, 32.60.+i, 97.10.Ld

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