Constructing adequate predictions for photon-atom scattering: a composite approach

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 1, 2000, Pages 012705-012701

  Carney, J P J ^a   Pratt, R H ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMS; CHARGE TRANSFER; ELECTRODYNAMICS; ELECTRON ENERGY LEVELS; ION EXCHANGE; NEON; PHOTONS; RAMAN SCATTERING; RAYLEIGH SCATTERING;

ELECTRON CORRELATION EFFECTS; INCOHERENT SCATTERING FACTOR APPROXIMATION; INELASTIC COMPTON SCATTERING; INNERMOST THRESHOLD ENERGY; PHOTON ATOM SCATTERING;

ELECTRON SCATTERING;

EID: 0034224143     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. M. Jung, R.W. Dunford, D.S. Gemmell, E.P. Kanter, B. Krässig, T.W. LeBrun, S.H. Southworth, L. Young, J.P.J. Carney, L. LaJohn, R.H. Pratt, and P.M. Bergstrom, Jr., Phys. Rev. Lett. 81, 1596 (1998).
2. P.P. Kane, L. Kissel, R.H. Pratt, and S.C. Roy, Phys. Rep. 140, 75 (1986).
3. L. Kissel, Ph.D. thesis, University of Pittsburgh, 1977 (unpublished).
4. P.M. Bergstrom, Jr., T. Surić, K. Pisk, and R.H. Pratt, Phys. Rev. A 48, 1134 (1993).
5. P. M. Bergstrom, Jr., Ph.D. thesis, University of Pittsburgh, 1992 (unpublished).
6. J.P.J. Carney, R.H. Pratt, N.L. Manakov, and A.V. Meremianin, Phys. Rev. A 61, 042704 (2000).
7. P.M. Bergstrom, Jr. and R.H. Pratt, Radiat. Phys. Chem. 50, 3 (1997).
8. W.R. Johnson and F.D. Feiock, Phys. Rev. 168, 22 (1968).
9. G.E. Brown, R.E. Peierls, and J.B. Woodward, Proc. R. Soc. London, Ser. A 227, 51 (1955).
10. I.B. Whittingham, J. Phys. A 4, 21 (1971).
11. I.B. Whittingham, Aust. J. Phys. 34, 163 (1981).
12. L. A. Wittwer, Ph.D. thesis, University of California, Davis, 1972.
13. H.P. Hanson, F. Herman, J.D. Lea, and S. Skillman, Acta Crystallogr. 17, 1040 (1964).
14. J.H. Hubbell, Wm.J. Veigele, E.A. Briggs, R.T. Brown. D.T. Cromer, and R.J. Howerton, J. Phys. Chem. Ref. Data 4, 471 (1975).
15. J. Wang, R.O. Esquivel, V.H. Smith, Jr., and C.F. Bunge, Phys. Rev. A 51, 3812 (1995).
16. L. Kissel, B. Zhou, S.C. Roy, S.K. Sen Gupta, and R.H. Pratt, Acta Crystallogr., Sect. A: Found. Crystallogr. 51, 271 (1995).
17. J.H. Hubbell and I. Øverbø, J. Phys. Chem. Ref. Data 8, 69 (1979).
18. W. Franz, Z. Phys. 98, 314 (1936).
19. D. Schaupp, M. Schumacher, F. Smend, P. Rullhusen, and J. H. Hubbell, J. Phys. Chem. Ref. Data 12, 467 (1983).
20. F. Biggs, L.B. Mendelsohn, and J.B. Mann, At. Data Nucl. Data Tables 16, 201 (1975).
21. D.T. Cromer and J.B. Mann, Los Alamos Scientific Laboratory Report LA-3689, 1967 (unpublished).
22. J.H. Scofield, University of California Laboratory Report No. 51326, 1973 (unpublished).
23. J. M. Jauch and F. Rohrlich, The Theory of Photons and Electrons (Springer-Verlag, New York, 1976).
24. F. Biggs, L. B. Mendelsohn, and J. B. Mann, Sandia Laboratories Report No. SAND75-51326, 1975 (unpublished). Note that the published tabulation [20] uses nonrelativistic wave functions for low Z.
25. -1 for the neon form factor) when we interpolate on these data in order to obtain the predictions given in Table II. Even with this procedure, elastic cross sections based on the tabulation of Hubbell et al. [14] still have limited precision (at the ≈ 1 % level) for large momentum transfers, reflecting the precision of the published data in Ref. [14]. Thus the deviations of these predictions (Table II, column 5) from the "best" predictions (Table II. column 3) for 59.54 keV at finite angle (corresponding to large momentum transfers) do not correspond exactly to the appropriate Rayleigh corrections given in Sec. III.
26. F. Schnaidt, Ann. Phys. (Leipzig) 21, 89 (1934).
27. R. Ribberfors, Phys. Rev. B 12, 2076 (1975).
28. In photoeffect angular distributions and cross sections, even when quadrupole effects matter, quadrupole correlations have not been found to be important, except perhaps at threshold [M.Ya. Amusia, A.S. Baltenkov, Z. Felfli, and A.Z. Msezane, Phys. Rev. A 59, R2544 (1999); W.R. Johnson, A. Derevianko, K.T. Cheng, V.K. Dolmatov, and S.T. Manson, ibid. 59, 3609 (1999)], which suggests, in consideration of the optical theorem, a similar situation for Rayleigh scattering.
29. In photoeffect angular distributions and cross sections, even when quadrupole effects matter, quadrupole correlations have not been found to be important, except perhaps at threshold [M.Ya. Amusia, A.S. Baltenkov, Z. Felfli, and A.Z. Msezane, Phys. Rev. A 59, R2544 (1999); W.R. Johnson, A. Derevianko, K.T. Cheng, V.K. Dolmatov, and S.T. Manson, ibid. 59, 3609 (1999)], which suggests, in consideration of the optical theorem, a similar situation for Rayleigh scattering.
30. P.M. Bergstrom, Jr., L. Kissel, R.H. Pratt, and A. Costescu, Acta Crystallogr., Sect. A: Found. Crystallogr. 53, 7 (1997).