R. H. Scheicher(1), T. P. Das(1), K. Ishida(2), T. Matsuzaki(2),
S. N. Nakamura(2), N. Kawamura(2), K. Nagamine(2,3)
(1) Department of Physics, State University of New York at Albany, Albany, NY 12222, USA
(2) Muon Science Laboratory, RIKEN (The Institute of Physical and Chemical Research), Wako, Saitama 351-0198, Japan
(3) Meson Science Laboratory, High Energy Accelerator Research Organization, Oho 1-1, Tsukuba, Ibaraki 305-0801, Japan
We are currently investigating the influence of vibrational effects on the strength of trapping of He+ in solid hydrogen. Such effects can lead to an isotopic dependence of the trapping energy associated with the hydrogen molecules and He+ ion. At the present time, our focus is on the isotope effect for 3He+ and 4He+, which we are studying through the vibrational motion of the trapped He+ ion in the potential it experiences as it moves about its equilibrium position. The potential is being obtained from Hartree-Fock Cluster calculations  of the total energy of the cluster of He+ ion and its nearest neighbor hydrogen molecules as a function of the displacement of the He+ ion from its trapped position. If the isotope effects associated with the He+ ion turn out to be important, we shall also investigate the corresponding effect associated with deuterium and tritium atoms in the hydrogen molecules.
 Abstract entitled "Theory for Relative Strengths of Trapping of
He+ Ions in Solid, Liquid and Gaseous Hydrogen" at this
Conference by R. H. Scheicher et al.
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