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Stable He- can exist in a strong magnetic field.

A V Turbiner1, J C Lopez Vieyra

  • 1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 México Distrito Federal, Mexico.

Physical Review Letters
|November 5, 2013
PubMed
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This study shows that the helium hydride ion (He-) becomes stable in magnetic fields above 0.13 atomic units. It can exist in two stable states, a spin doublet and a spin quartet, depending on the magnetic field strength.

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Area of Science:

  • Atomic Physics
  • Quantum Mechanics
  • Computational Chemistry

Background:

  • The helium hydride ion (He-) is a three-body system (alpha particle, two electrons).
  • Investigating its stability and states in external magnetic fields is crucial for understanding atomic structure under extreme conditions.

Purpose of the Study:

  • To determine the conditions under which the (α, e, e, e) system forms stable bound states in a magnetic field.
  • To identify the spin states and energy levels of the stable He- ion.

Main Methods:

  • Variational method employed to study the bound states of the (α, e, e, e) system.
  • Numerical calculations performed for various magnetic field strengths (B).

Main Results:

  • The (α, e, e, e) system forms bound states for magnetic fields B≳0.13 atomic units.
  • The total energy of the bound system falls below that of the (α, e, e) system, indicating stability.
  • A stable He- atomic ion exists, with its ground state being a spin doublet (2⁻¹) for 0.13 a.u. ≲ B ≲ 0.74 a.u.
  • For B≳0.74 a.u., the ground state transitions to a spin quartet (4⁻³).
  • For 0.7 a.u. ≲ B ≲ 0.8 a.u., the He- ion exhibits two stable bound states: a spin doublet and a spin quartet.

Conclusions:

  • A magnetic field stabilizes the He- atomic ion.
  • The He- ion exhibits distinct spin states (doublet and quartet) that are dependent on magnetic field strength.
  • The study confirms the existence of stable He- states, contributing to the understanding of few-body systems in physics.