Interaction of positrons with hydrogenlike atomic systems in hyperspherical approach
DOI:
https://doi.org/10.24144/2415-8038.2015.38.38-44Keywords:
positron, mixing configurations, autoionization states, boundary value problems, Jacobi relative variables, affinity energyAbstract
Within hyperspherical adiabatic approach in one-dimensional space calculations of energies were performed for the main and lower autoionising excitations in triplet states for three-particle systems in positron interactions with atomic systems H, He+ and Li2+ were performed. It was shown that only for the (е+Н) systems bond energy is under the ionization threshold of the hydrogen atom. In other cases, the energy of the ground state lays above the ionization threshold of the appropriate system. Existence of resonance quantum states, which coincide to the resonance levels of the system was found.
References
Гольданский В.И. Физическая химия позитронов и позитрония. М: Наука. – (1968). – 176 с.
Bhatia А.К. Positron Interactions with Atoms and Ions // J. Atom. Mol. Cond. Nano Phys. – 2014. – V. 1. – P. 45–63.
Bhatia A.K., Drachman R.J. Search for resonances in positron-atom systems //Phys. Rev. A.– 1990. – V. 42. – P. 5117–5121.
Ho Y.K. Resonances in Three-Body Atomic Systems Involving Positrons //Cin. J. Phys. – 1997. – V. 2. – P. 97-120.
Igarashi А., Shimamura I.S-wave resonances in positron scattering by He+ // Phys. Rev. A. – 1997. – V. 6. – P. 4733-4736.
Tolstikhin O.I., Namba C. CTBC–A Program to Solve the Collinear Three-Body Coulomb Problem: Bound States and Scattering Below the Three-Body Disintegration Threshold (Toki: National Institute for Fusion Science, Japan, 2003)
Zubiaga А., Tuomisto F., Puska M.J. Full correlation single-particle positron potentials for a positron and a positronium interacting with atoms //arXiv: 1305.6809v9 [physics.atm-clus], 2014.
Gasaneo G., Colavecchia F.D. A wave function for three charged particles with arbitrary masses // Nucl. Instr. Meth. Phys. Res. B. – 2002. – V. 192. – P. 150-156.
Lin C.D. Hyperspherical coordinate approach to atomic and other Coulombic three-body systems // Phys. Rep. – 1995. – V. 257. – P. 1-83.
Ho Y.K. The method of complex coordinate rotation and its applications to atomic collision processes // Phys. Rep. – 1983. – V.99. − Р. 1-68.
Nakatsuji H.Scaled Schrödinger Equation and the Exact Wave Function // Phys. Rev. Lett. – 2004. – V. 93. –P. 030403.
Гайсак І., Гайсак М., Ламер І., Ізотопічні ефекти для синглетних та триплетних станів негативного іона атома водню // Вісник УжНУ, Серія фізика. – 2011. – T.30. – С. 195-202.
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