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Title: Decay channels and decay rates for the hydrogen-antihydrogen quasimolecule

Journal Article · · Physical Review. A
 [1];  [1];  [1]; ;  [2]
  1. Institute of Physics, St. Petersburg State University, 198904, Uljanovskaya 1, Petrodvorets, St. Petersburg (Russian Federation)
  2. Technische Universitaet Dresden, Mommsenstrasse 13, D-01062, Dresden (Germany)

Calculations of leptonic and hadronic annihilation rates in the hydrogen-antihydrogen molecule are presented. Both the leptonic potential and leptonic wave function are evaluated within the Born-Oppenheimer approximation employing the Ritz variational principle. Nonadiabatic corrections to the leptonic potential are also obtained. Explicitly correlated Gaussians are employed as basis functions, which describe accurately the hydrogen-antihydrogen interaction. Given the leptonic potential the hadronic part of the wave function for each molecular level of the hydrogen-antihydrogen quasimolecule is calculated by solving the corresponding Schroedinger equation by means of precise B-spline representations. The decay rates of the quasimolecule into separate positronium and protonium systems are estimated for a number of molecular levels. Utilizing the leptonic and hadronic wave functions the leptonic- and hadronic-annihilation rates for different molecular levels are computed.

OSTI ID:
20718120
Journal Information:
Physical Review. A, Vol. 72, Issue 2; Other Information: DOI: 10.1103/PhysRevA.72.022513; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English