Nonadiabatic Theory of Inelastic Electron-Hydrogen Scattering

H. L. Kyle; A. Temkin

doi:10.1103/PhysRev.134.A600

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Nonadiabatic Theory of Inelastic Electron-Hydrogen Scattering

H. L. Kyle and A. Temkin

Goddard Space Flight Center, National Aeronautics and Space Administration, Greenbelt, Maryland

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Phys. Rev. 134, A600 – Published 4 May, 1964

DOI: https://doi.org/10.1103/PhysRev.134.A600

Abstract

The nonadiabatic theory is applied to the inelastic $S$ -wave scattering of low-energy electrons from atomic hydrogen. The zeroth-order (angle-independent) approximation for excitation of the $2 s$ level from the ground state is described by the same equation used to describe elastic scattering below the $2 s$ threshold, but with more complicated boundary conditions. The solution has been effected by expanding the wave function in terms of separable solutions. With the assumption of reciprocity it is also possible to obtain the $2 s - 2 s$ cross sections. The elastic ( $1 s - 1 s$ ) cross sections are within 1% of the close-coupling results in the triplet case, but are about 20% greater in the singlet case. The inelastic ( $1 s - 2 s$ ) cross sections are reduced about 20% in the triplet case and 20 to 40% in the singlet case, relative to the close-coupling results.

References (20)

A. Temkin, Phys. Rev. Letters 4, 566 (1960) Phys. Rev. 126, 130 (1962)
R. Marriott, Proc. Phys. Soc. (London) 72, 121 (1958)
P. G. Burke, H. M. Schey, and K. Smith, Phys. Rev. 129, 1258 (1963)
K. Omidvar, in Proceedings of the Third International Conference on the Physics of Electronic and Atomic Collisions (North-Holland Publishing Company, Amsterdam, to be published) Phys. Rev. 133, A970 (1964)
R. Damburg and R. Peterkop, Proc. Phys. Soc. (London) 80, 1073 (1962)
H. S. Massey and B. L. Moiseiwitsch, Proc. Phys. Soc. (London) A66, 406 (1953)
R. Karplus and L. S. Rodberg, Phys. Rev. 115, 1058 (1959)
J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John Wiley & Sons, Inc., New York, 1952), p. 528
M. H. Ross and G. L. Shaw, Ann. Phys. (N. Y.) 13, 147 (1961)
A. Temkin and R. Pohle, Phys. Rev. Letters 10, 22 (1963) 10, 268 (1963) A. Temkin, NASA Tech. Note D-1720 (unpublished) in Proceedings of the Third International Conference on the Physics of Electronic and Atomic Collisions (North-Holland Publishing Company, Amsterdam, to be published) [12]
H. L. Kyle and A. Temkin, in Proceedings of the Third International Conference on the Physics of Electronic and Atomic Collisions (North-Holland Publishing Company, Amsterdam, to be published)
M. Gailitis and R. Damburg, Proc. Phys. Soc. (London) 82, 192 (1963)
P. G. Burke and K. Smith, Rev. Mod. Phys. 34, 458 (1962)
A. Temkin and E. Sullivan, Phys. Rev. 129, 1250 (1963)
R. F. Stebbings, W. L. Fite, S. C. Hummer, and R. T. Brackmann, Phys. Rev. 119, 1939 (1960)
W. Lichten and S. Schultz, Phys. Rev. 116, 1132 (1959)
M. J. Seaton, Phil. Trans. Royal Soc. London A245, 469 (1953)
D. G. Hummer and M. J. Seaton, Phys. Rev. Letters 6, 471 (1961)
A. J. Taylor and P. G. Burke, in Proceedings of the Third International Conference on the Physics of Electronic and Atomic Collisions (North-Holland Publishing Company, Amsterdam, to be published)
E. P. Wigner, Phys. Rev. 73, 1002 (1948)

[c1] A. Temkin, Phys. Rev. Letters 4, 566 (1960) Phys. Rev. 126, 130 (1962)

[c2] R. Marriott, Proc. Phys. Soc. (London) 72, 121 (1958)

[c3] P. G. Burke, H. M. Schey, and K. Smith, Phys. Rev. 129, 1258 (1963)

[c4] K. Omidvar, in Proceedings of the Third International Conference on the Physics of Electronic and Atomic Collisions (North-Holland Publishing Company, Amsterdam, to be published) Phys. Rev. 133, A970 (1964)

[c5] R. Damburg and R. Peterkop, Proc. Phys. Soc. (London) 80, 1073 (1962)

[c6] H. S. Massey and B. L. Moiseiwitsch, Proc. Phys. Soc. (London) A66, 406 (1953)

[c7] R. Karplus and L. S. Rodberg, Phys. Rev. 115, 1058 (1959)

[c8] J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John Wiley & Sons, Inc., New York, 1952), p. 528

[c9] M. H. Ross and G. L. Shaw, Ann. Phys. (N. Y.) 13, 147 (1961)

[c10] A. Temkin and R. Pohle, Phys. Rev. Letters 10, 22 (1963) 10, 268 (1963) A. Temkin, NASA Tech. Note D-1720 (unpublished) in Proceedings of the Third International Conference on the Physics of Electronic and Atomic Collisions (North-Holland Publishing Company, Amsterdam, to be published) [12]

[c11] H. L. Kyle and A. Temkin, in Proceedings of the Third International Conference on the Physics of Electronic and Atomic Collisions (North-Holland Publishing Company, Amsterdam, to be published)

[c12] M. Gailitis and R. Damburg, Proc. Phys. Soc. (London) 82, 192 (1963)

[c13] P. G. Burke and K. Smith, Rev. Mod. Phys. 34, 458 (1962)

[c14] A. Temkin and E. Sullivan, Phys. Rev. 129, 1250 (1963)

[c15] R. F. Stebbings, W. L. Fite, S. C. Hummer, and R. T. Brackmann, Phys. Rev. 119, 1939 (1960)

[c16] W. Lichten and S. Schultz, Phys. Rev. 116, 1132 (1959)

[c17] M. J. Seaton, Phil. Trans. Royal Soc. London A245, 469 (1953)

[c18] D. G. Hummer and M. J. Seaton, Phys. Rev. Letters 6, 471 (1961)

[c19] A. J. Taylor and P. G. Burke, in Proceedings of the Third International Conference on the Physics of Electronic and Atomic Collisions (North-Holland Publishing Company, Amsterdam, to be published)

[c20] E. P. Wigner, Phys. Rev. 73, 1002 (1948)

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Nonadiabatic Theory of Inelastic Electron-Hydrogen Scattering

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