Jm. Rost et Ej. Heller, IONIZATION OF HYDROGEN BY POSITRON-IMPACT NEAR THE FRAGMENTATION THRESHOLD, Physical review. A, 49(6), 1994, pp. 180004289-180004292
The semiclassical approximation of Feynman's path integral is used to
calculate the S matrix for the positron-impact ionization of hydrogen.
The formulation provides a full scattering amplitude, and more import
antly does not require knowledge of the asymptotic three-body Coulomb
state in the continuum. In the limit of vanishing excess energy, the r
esults confirm Wannier's classical model for fragmentation [Phys. Rev.
90, 817 (1953)]. The experimentally observable ratio of fragmentation
versus total ionization (including positronium formation) is predicte
d.