Electron scattering off simple atoms for large momentum transfer collisions

Annals of Physics

Volumn 322, Issue 8, 2007, Pages 1925-1948

  Kelsey, Edward J ^a  

^a MONMOUTH UNIVERSITY   (United States)

Author keywords

Atoms; Collisions; Helium; Hydrogen; Large momentum transfer

Indexed keywords

EID: 34347265778     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2006.09.012     Document Type: Article

References (30)

1. Geltman S., and Hidalgo M.B. J. Phys. B4 (1971) 1299
2. Gau J., and Macek J. Phys. Rev. A 10 (1974) 522
3. Byron F.W., and Joachain Jr. C.J. J. Phys. B 8 (1975) L284
4. Kelsey E.J. Phys. Rev. A 14 (1976) 56
5. Eimerl D. Phys. Rev. A 14 (1976) 2061
6. Bray I., Konovalov D.A., and McCarthy I.E. Phys. Rev. A 44 (1991) 5586
7. Private Communication from I. Bray (2006). The data used is actually of incident electron energy of 499.5 eV and are dependent on the frozen core approximation used for helium. The results are nearly identical to those of. Fursa D.V., and Bray I. Phys. Rev. A 52 (1995) 1279
8. Cartwright D.C., Csanak G., Trajmar S., and Register D.F. Phys. Rev. A 45 (1992) 1602
9. Trajmar S., Register D.F., Cartwright D.C., and Csanak G. J. Phys. B 25 (1992) 4889
10. Williams J.F. J. Phys. B 8 (1975) 2191
11. Scott M.P., and Burke P.G. J. Phys. B 26 (1993) L191
12. Chan F.T., Chang C.H., Lieber M., and Kim Y.-K. Phys. Rev. A 17 (1978) 1869
13. Note that in general one should use an integrating factor to avoid divergent behavior in separating these two terms and integrating them separately. We do this for elastic scattering. See. Schiff L.I. Quantum Mechanics. 3rd ed. (1968), McGraw-Hill, New York City p. 333
14. Bethe H.A., and Salpeter E.E. One- and Two-Electron Atoms (1957), Springer-Verlag, Berlin p. 83
15. Kelsey E.J., and Macek J. J. Math. Phys. 17 (1976) 1182
16. Dalitz R.H. Proc. R. Soc. A 206 (1951) 509
17. Burke P.G. Potential Scattering in Atomic Physics. 1st ed. (1977), Plenum Press, New York Chap. 8, p. 108
18. Bray I., Fursa D.V., Kheifets A.S., and Stelbovics A.T. J. Phys. B 35 (2002) R117-R146
19. My search of the literature has not shown any articles on this atomic collision. However, it is difficult to believe that a transition which when performed by radio frequency photons was so important to physics history has not been considered by someone as a possible deexcitation that could be done or has been done by electron scattering.
20. See Ref. [11] p. 107.
21. Kelsey E.J. Phys. Rev. A 15 (1977) 647
22. Inokuti M. Rev. Mod. Phys. 43 (1971) 297
23. This argument is similar to one in Ref. [2] p. 57.
24. See Ref. [10] p. 141.
25. I.S. Gradshteyn, I.M. Ryzhik, Y.V. Geronimus, M. Yu Tseytlin, Table of Integrals, Series, and Products, 4th ed., in: A. Jeffrey (Ed.), vol. 1, Academic Press, New York, 1965, Chap. 3, p. 294.
26. This is at best a ballpark estimate.
27. G to allow the ground state wave function be the familiar Hylleraas helium ground state wave function (Eq. (E1)).
28. Marriott R., and Seaton M.J. Proc. R. Soc. Lond. Ser. A 70 (1957) 296
29. See also. Mott N.F., and Massey H.W.W. The Theory of Atomic Collisions. 3rd ed. (1965), Oxford Press p. 482
30. Van Boeyen R.W., Watanabe N., Cooper J.W., Doering J.P., Moore J.H., and Coplan M.A. Phys. Rev. A 73 (2006) 032703