Abstract
The effects of various possibilities of “switching on” the polarisation potentials of e+ — H inelastic scattering on the coupled-static model are investigated in details. The partial elastic and positronium formation cross-sections of the new models are calculated for seven values of the total angular momentum l(0≤l≤6) at seventeen values of the incident energy k 21 within the Ore gap (6.8≤k 21 ≤10.2 eV). The comparison between the present calculations and the elaborate variational results of Humberston [1, 2] and Brown and Humberston [3, 4] shows that the “switching on” of the polarisation potentials leads to overestimated values for the partial and total elastic and positronium formation cross-sections. This conclusion raises, at least to us, some doubts about the consistency of the polarized orbital principle when higher channels than the elastic one are opened. It seems that this principle is completely insufficient for describing the positron — atom inelastic processes.
Similar content being viewed by others
References
J.W. Humberston, Canad. J. Phys.,60, 591, 1982.
J.W. Humberston, J. Phys.,B17, 2353, 1984.
C.J. Brown and J.W. Humberston, J. Phys.,B17, L423, 1984.
C.J. Brown and J.W. Humberston, J. Phys.,B18, L401, 1985.
M. Horbatsch, J.W. Darewych and R.P. McEachran, J. Phys.,B16, 4451, 1983.
R.P. McEachran, D.L. Morgan, A.G. Ryman and A.D. Stauffer, J. Phys.,B10, 663, 1977.
R.P. McEachran, D.L. Morgan, A.G. Ryman and A.D. Stauffer, J. Phys.,B11, 951, 1978.
R.P. McEachran, A.G. Ryman and A.D. Stauffer, J. Phys.,B11, 551, 1978.
R.P. McEachran, A.G. Ryman and A.D. Stauffer, J. Phys.,B12, 1031, 1979.
R.P. McEachran, A.D. Stauffer and L.E.M. Cambell, J. Phys.,B13, 1281, 1980.
R.J. Drachman and A. Temkin, Case Studies in Atomic Collision Physics, Vol. 2, ed. E.W. cDaniel and M.R.C. McDowell, North-Holland, Amsterdam, Chap. 6.
M.A. Abdel-Raouf, J.W. Darewych, R.P. McEachran and A.D. Stauffer, Phys. Lett.,100A, 353, 1984.
P.M. Stone, Phys. Rev.,141, 137, 1966.
Y.F. Chan and R.P. McEachran, J. Phys.,B9, 1869, 1976.
Y.F. Chan and P.A. Fraser, J. Phys.,B6, 2504, 1972.
R.J. Drachman, K. Omidvar and J.H. McGuire, Phys. Rev.,A14, 100, 1976.
P. Khan and A.S. Ghosh, Phys. Rev.,A27, 1904, 1983.
P.A. Fraser, Proc. Phys. Soc. (London) LXX III, 329, 1961.
P.A. Fraser, private communication
A. Messiah, Quantum Mechanics I, North-Holland Publishing Comp., Amsterdam, 1970.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Abdel-Raouf, M.A. Effects of the polarisation potentials on positron-hydrogen inelastic scattering. Acta Physica Hungarica 63, 21–50 (1988). https://doi.org/10.1007/BF03155754
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03155754