Abstract
The triatomic 4He system and its isotopic species \({^4{\rm He}_2^3{\rm He}}\) are theoretically investigated. By adopting the best empirical helium interaction potentials, we calculate the bound state energy levels as well as the rates for the three-body recombination processes: 4He + 4He + 4He → 4 He2 + 4He and 4He + 4He + 3He → 4He2 + 3He. We consider not only zero total angular momentum J = 0 states, but also J > 0 states. We also extend our study to mixed helium-alkali triatomic systems, that is 4He2 X with X = 7Li, 23Na, 39K, 85 Rb, and 133Cs. The energy levels of all the J ≥ 0 bound states for these species are calculated as well as the rates for three-body recombination processes such as 4He + 4He + 7Li → 4 He2 + 7Li and 4He + 4He + 7Li → 4 He7Li + 4He. In our calculations, the adiabatic hyperspherical representation is employed but we also obtain preliminary results using the Gaussian expansion method.
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Aziz R.A., Slaman M.J.: An examination of ab initio results for the helium potential energy curve. J. Chem. Phys. 94, 8047 (1991)
Jeziorska M., Cencek W., Patkowski B., Jeziorski B., Szalewicz K.: Pair potential for helium from symmetry-adapted perturbation theory calculations and from supermolecular data. J. Chem. Phys. 127, 124303 (2007)
Cencek W., Jeziorska M., Akin-Ojo O., Szalewicz K.: Three-body contribution to the helium interaction potential. J. Phys. Chem. A 111, 11311 (2007)
Esry B.D., Lin C.D., Greene C.H.: Adiabatic hyperspherical study of the helium trimer. Phys. Rev. A 54, 394 (1996)
Blume D., Greene C.H., Esry B.D.: Comparative study of He3, Ne3 , and Ar3 using hyperspherical coordinates. J. Chem. Phys. 113, 2145 (2000)
Suno H., Esry B.D.: Adiabatic hyperspherical study of triatomic helium systems. Phys. Rev. A 78, 062701 (2008)
Hiyama E., Kamimura M.: Variational calculation of 4He tetramer ground and excited states using a realistic pair potential. Phys. Rev. A 85, 022502 (2012)
Kleinekathofer U., Lewerenz M., Mladenovi M.: Long range binding in alkali-helium pairs. Phys. Rev. Lett. 83, 4717 (1999)
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Suno, H., Hiyama, E. & Kamimura, M. Theoretical Study of Triatomic Systems Involving Helium Atoms. Few-Body Syst 54, 1557–1560 (2013). https://doi.org/10.1007/s00601-013-0708-z
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DOI: https://doi.org/10.1007/s00601-013-0708-z