Multistate Impact-Parameter Calculation of Atom-Atom Excitation Cross Sections: Excitation of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">H</mi><mn></mn><mo>(</mo><mn>1</mn><mi>s</mi><mo>)</mo><mn></mn></math></span> by <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">He</mi><mo>(</mo><mn>1</mn><mn></mn><mrow><mmultiscripts><mrow><mi>S</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>1</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow><mo>)</mo></math></span>

Hiram Levy, II

doi:10.1103/PhysRev.187.136

Access by Xinjiang University

Multistate Impact-Parameter Calculation of Atom-Atom Excitation Cross Sections: Excitation of $H (1 s)$ by $He (1 {}^{1}S)$

Hiram Levy, II

Smithsonian Astrophysical Observatory, Cambridge, Massachusetts 02138

PDF

Phys. Rev. 187, 136 – Published 5 November, 1969

DOI: https://doi.org/10.1103/PhysRev.187.136

Abstract

A general method of calculating the time-dependent matrix elements needed for multistate impact-parameter calculations of atom-atom inelastic cross sections is presented and applied to the collision processes $H (1 s) + He (1 {}^{1}S) \to H (2 s, 2 p_{m}) + He (1 {}^{1}S)$ . Cross sections calculated in the distorted Born, two-state, and four-state impact-parameter approximations over the incident energy range $1.0 keV \leq E \leq 200.0 keV$ are compared with previous experimental results and first Born-wave calculations. The first Born-wave calculations are in better agreement with the experimental measurements than are the distorted Born, two-state, and four-state impact-parameter calculations, but the fact that the corrections to the first Born become significant for $v \leq 1.0$ a.u. suggests that the good agreement may be accidental. Polarization fractions are calculated, and good agreement is shown with experiment for $v \leq 0.8$ a.u.

References (14)

H. Levy II, Phys. Rev. 185, 7 (1969)
H. Levy II, preceding paper, Phys. Rev. 187, 130 (1969)
M. R. Flannery and H. Levy II, J. Phys. B2, 314 (1969)
M. R. Flannery, Phys. Rev. 183, 231 (1969)
M. R. Flannery, Phys. Rev. 183, 241 (1969)
H. Levy II, Phys. Rev. 184, 97 (1969)
D. R. Bates and A. H. Boyd, Proc. Phys. Soc. (London) 79, 710 (1962)
D. R. Bates, Quantum Theory, Elements I (Academic Press Inc., New York, 1961), pp. 297-521
N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions (Clarendon Press, Oxford, 1965), 3rd ed., p. 478
Y.-K. Kim and M. Inokuti, Phys. Rev. 165, 39 (1968)
V. Dose, R. Gunz, and V. Meyer, Helv. Phys. Acta 41, 269 (1968)
V. A. Ankudinov, E. P. Andrew, and A. L. Orbeli, in Proceedings of the Fifth International Conference on the Physics of Electronic and Atomic Collisions, edited by I. P. Flaks (Publishing House "Nauka," Leningrad, USSR, 1967), p. 312
I. C. Percival and M. J. Seaton, Phil Trans. Roy. Soc. London, 251A, 113 (1958)
V. Dose, R. Gunz, and V. Meyer, Helv. Phys. Acta 41, 264 (1968)

[c1] H. Levy II, Phys. Rev. 185, 7 (1969)

[c2] H. Levy II, preceding paper, Phys. Rev. 187, 130 (1969)

[c3] M. R. Flannery and H. Levy II, J. Phys. B2, 314 (1969)

[c4] M. R. Flannery, Phys. Rev. 183, 231 (1969)

[c5] M. R. Flannery, Phys. Rev. 183, 241 (1969)

[c6] H. Levy II, Phys. Rev. 184, 97 (1969)

[c7] D. R. Bates and A. H. Boyd, Proc. Phys. Soc. (London) 79, 710 (1962)

[c8] D. R. Bates, Quantum Theory, Elements I (Academic Press Inc., New York, 1961), pp. 297-521

[c9] N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions (Clarendon Press, Oxford, 1965), 3rd ed., p. 478

[c10] Y.-K. Kim and M. Inokuti, Phys. Rev. 165, 39 (1968)

[c11] V. Dose, R. Gunz, and V. Meyer, Helv. Phys. Acta 41, 269 (1968)

[c12] V. A. Ankudinov, E. P. Andrew, and A. L. Orbeli, in Proceedings of the Fifth International Conference on the Physics of Electronic and Atomic Collisions, edited by I. P. Flaks (Publishing House "Nauka," Leningrad, USSR, 1967), p. 312

[c13] I. C. Percival and M. J. Seaton, Phil Trans. Roy. Soc. London, 251A, 113 (1958)

[c14] V. Dose, R. Gunz, and V. Meyer, Helv. Phys. Acta 41, 264 (1968)

Physical Review Journals Archive

Export citation

Export citation

Multistate Impact-Parameter Calculation of Atom-Atom Excitation Cross Sections: Excitation of $H (1 s)$ by $He (1 {}^{1}S)$

Abstract

References (14)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Multistate Impact-Parameter Calculation of Atom-Atom Excitation Cross Sections: Excitation of H(1s) by He(1S1)

Abstract

References (14)

Multistate Impact-Parameter Calculation of Atom-Atom Excitation Cross Sections: Excitation of $H (1 s)$ by $He (1 {}^{1}S)$