$H_2^{+}$ molecular ion in a strong magnetic field: ground state

Abstract

A detailed quantitative analysis of the system $(ppe)$ placed in magnetic field ranging from $0-4.414\times 10^{13}G$ is presented. The present study is focused on the question of the existence of the molecular ion $H_2^{+}$ in a magnetic field. As a tool, a variational method with an optimization of the form of the vector potential (optimal gauge fixing) is used. It is shown that in the domain of applicability of the non-relativistic approximation the system $(ppe)$ in the Born-Oppenheimer approximation has a well-pronounced minimum in the total energy at a finite interproton distance for $B\lesssim 10^{11}G$, thus manifesting the existence of $H_2^{+}$. For $B\gtrsim 10^{11}G$ and large inclinations (of the molecular axis with respect to the magnetic line) the minimum disappears and hence the molecular ion $H_2^{+}$ does not exist. It is shown that the most stable configuration of $H_2^{+}$ always corresponds to protons situated along the magnetic line. With magnetic field growth the ion $H_2^{+}$ becomes more and more tightly bound and compact, and the electronic distribution evolves from a two-peak to a one-peak pattern. The domain of inclinations where the $H_2^{+}$ ion exists reduces with magnetic field increase and finally becomes $0^o-25^o$ at $B=4.414\times 10^{13}G$. Phase transition type behavior of variational parameters for some interproton distances related to the beginning of the chemical reaction $H_2^{+}\leftrightarrow H+p$ is found.

arXiv commentRevTeX 4, 36 pages, 19 Figs. (figures 14-18 should be requested from the authors)

References in corpus (9)

• Matter in Strong Magnetic Fields
• Discovery of absorption features in the X-ray spectrum of an isolated neutron star
• Hydrogen Molecules In Superstrong Magnetic Field: II. Excitation Levels
• Hydrogen atom in a magnetic field: The quadrupole moment
• H_3^{++}$ molecular ion in a strong magnetic field: triangular configuration
• H2+ ion in strong magnetic field: a variational study
• One-electron linear systems in a strong magnetic field
• $H_3^{++}$ molecular ions can exist in strong magnetic fields
• Ion $H_2^{+}$ can dissociate in a strong magnetic field

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