Variational Bounds on the 1s—Charge-Exchange Amplitude in Proton-Hydrogen-Atom Scattering

Phys. Rev. Lett. 33, 137 – Published 15 July 1974
David Storm and Donald Rapp


With a relatively simple trial wave function, nontrivial variational bounds are obtained on some transition amplitudes for the 1s—charge-exchange reaction in the impact-parameter model for H+-H scattering. Preliminary results imply that the two-state traveling molecular expansion is superior to the two-state traveling atomic expansion below 25 keV, that the Euler-Lagrange variational method is not necessarily superior to the static method, and that neither is the "best variational method."


  • Received 3 April 1974
  • Published in the issue dated 15 July 1974

© 1974 The American Physical Society

Authors & Affiliations

David Storm and Donald Rapp

  • The University of Texas at Dallas, Richardson, Texas 75230

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