Effective range analysis of positron-hydrogen collisions
Journal Article
·
· Physical Review A
Humberston [Can. J. Phys. 60, 591 (1982)], using the Kohn variational method, showed that the range of validity of Wigner's threshold law for positronium formation in positron-hydrogen collisions is extremely narrow for the S wave. To examine the near-threshold behavior, we analyzed ab initio calculations using the multichannel effective range theory of Watanabe and Greene [Phys. Rev. A 22, 158 (1980)] and the single-channel effective range theory of Fabrikant [Opt. Spectrose 53, 131 (1982)] for the positronium-proton channel. We confirmed the presence of a Ramsauer minimum in the L=0 elastic cross section for positronium-proton scattering, and found a similar minimum for L=1. The near-threshold structure is interpreted in terms of a virtual state, resonances, tunneling through and transmission over a barrier, and quantum suppression.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40206010
- Journal Information:
- Physical Review A, Journal Name: Physical Review A Journal Issue: 5 Vol. 62; ISSN 1050-2947
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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