Positronium-hydrogen elastic scattering

Journal Article · Mon Sep 01 04:00:00 EDT 1975 · Phys. Rev., A, v. 12, no. 3, pp. 885-890

DOI:https://doi.org/10.1103/PhysRevA.12.885· OSTI ID:4177526

Drachman, R J; Houston, S K

The elastic scattering of positronium atoms by hydrogen atoms below the excitation threshold at 5.1 eV has been investigated, with the investigation limited to the spin-zero (singlet) state of the two electrons. Nonresonant S- wave phase shifts have been obtained from normalizable trial functions by extracting the center-of-mass wave function and examining its spatial behavior. An effective-range expansion is fitted to the phase shifts and the previously obtained positronium-hydride bound-state energy to yield a scattering length a approx. = 5.3a$sub 0$ compared with Fraser's corrected exchange result, a=7.28a$sub 0$ (a$sub 0$ is the Bohr radius). The stabilization method suggests that a resonance occurs at a scattering energy of 4.5 eV, about 0.6 eV below the excitation threshold. Using the complex rotation method, evidence confirming the existence of the resonance and an estimate of its width of about 6 times 10$sup - 2$ eV have been obtained.

• Research Organization: Theoretical Studies Group, NASA/Goddard Space Flight Center, Greenbelt, Maryland 20771
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-004081
• OSTI ID: 4177526
• Journal Information: Phys. Rev., A, v. 12, no. 3, pp. 885-890, Journal Name: Phys. Rev., A, v. 12, no. 3, pp. 885-890; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

*HYDROGEN-- ATOM-ATOM COLLISIONS
*POSITRONIUM-- ATOM-ATOM COLLISIONS
640304* --Physics Research--Atomic
Molecular & Chemical Physics--Collision Phenomena
EFFECTIVE RANGE THEORY
ELASTIC SCATTERING
N60400* --Physics (Atomic & Molecular)--Collision Phenomena
PHASE SHIFT
RESONANCE SCATTERING
S WAVES
WAVE FUNCTIONS