Advertisement

The European Physical Journal Special Topics

, Volume 222, Issue 9, pp 2335–2344 | Cite as

Positron and electron scattering on atoms and molecules–modified effective range theory revisited

  • K. FedusEmail author
  • Z. Idziaszek
  • G. P. Karwasz
Regular Article

Abstract

New experiments on the very low-energy electron and positron scattering allow to verify the old question on applicability of modified effective range theory (MERT). We perform it using an analytical solution of the Schrödinger equation with the long-range polarization potential. In this work two atomic (He, Ar) and molecular (H2, CH4) target are studied using this approach. Total cross sections were used for obtaining parameters characterizing the scattering phase shifts related to the short-range interaction potential; differential cross sections were used for comparison. Differently from previous works, we conclude that MERT with few (2-3) partial waves applies very well up to energies of few eV in all four targets studied. For positrons, reliable experimental data indicate occurrence of zeros in the s-wave phase shifts for all four targets. This should be recognized as Ramsauer-Townsend minima.

Keywords

Total Cross Section European Physical Journal Special Topic Partial Wave Scatter Phase Shift Wave Contribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    T.F. O’Malley, L. Spruch, L. Rosenberg, J. Math. Phys. 2, 491 (1961)MathSciNetADSCrossRefzbMATHGoogle Scholar
  2. 2.
    T.F. O’Malley, Phys. Rev. 130, 1020 (1963)MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    J. Ferch, B. Granitza, W. Raith, J. Phys. B: At. Mol. Phys. 18, 967 (1985)ADSCrossRefGoogle Scholar
  4. 4.
    S.J. Buckman, J. Mitroy, J. Phys. B 22, 1365 (1989)ADSCrossRefGoogle Scholar
  5. 5.
    Z. Idziaszek, G. Karwasz, Phys. Rev. A 73, 064701 (2006)ADSCrossRefGoogle Scholar
  6. 6.
    Z. Idziaszek, G. Karwasz, Eur. Phys. J. D 51, 247 (2009)CrossRefGoogle Scholar
  7. 7.
    A. Zecca, R.S. Brusa, G.P. Karwasz, Rev. Nuovo Cim. 19, No. 3 (1996)Google Scholar
  8. 8.
    G. Karwasz, R.S. Brusa, A. Karwasz, Rev. Nuovo Cim. 19, No. 1 (2001)Google Scholar
  9. 9.
    T.S. Stein, W.E. Kauppila, V. Pol, J.H. Smart, G. Jesion, Phys. Rev. A 17, 1600 (1978)ADSCrossRefGoogle Scholar
  10. 10.
    Z. Idziaszek, A. Simoni, T. Calarco, P. S. Julienne, New J. Phys. 13, 083005 (2011)ADSCrossRefGoogle Scholar
  11. 11.
    G.P. Karwasz, Eur. Phys. J. D 35, 267 (2005)ADSCrossRefGoogle Scholar
  12. 12.
    Cz. Szmytkowski, K. Maciag, G. Karwasz, Physica Scripta 54, 271 (1996)ADSCrossRefGoogle Scholar
  13. 13.
    G.P. Karwasz, A. Zecca, R.S. Brusa, Electron Scattering with Molecules, in Landolt-Börstein New Series, Vol. I/17, Photon and Electron Interaction, with Atoms, Molecules and Ions (Springer-Verlag, Berlin, Heidelberg, 2003), p. 6.1Google Scholar
  14. 14.
    J.P. Sullivan, C. Makochekanwa, A. Jones, P. Caradonna, D.S. Slaughter, J. Machacek, R.P. McEachran, D.W. Mueller, S.J. Buckman, J. Phys. B: At. Mol. Opt. Phys. 44, 035201 (2011)ADSCrossRefGoogle Scholar
  15. 15.
    A.C.L. Jones, C. Makochekanwa, P. Caradonna, D.S. Slaughter, J.R. Machacek, R.P. McEachran, J.P. Sullivan, S.J. Buckman, A.D. Stauffer, I. Bray, D.V. Fursa, Phys. Rev. A 83, 032701 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    O. Sueoka, J. Phys. B: At. Mol. Opt. Phys. 21, L631 (1988)ADSCrossRefGoogle Scholar
  17. 17.
    G.P. Karwasz, A. Karbowski, Z. Idziaszek, R.S. Brusa, Nucl. Instr. Meth. B 266, 471 (2008)ADSCrossRefGoogle Scholar
  18. 18.
    G.P. Karwasz, D. Pliszka, A. Zecca, R.S. Brusa, Nucl. Instr. Meth. B 240, 666 (2005)ADSCrossRefGoogle Scholar
  19. 19.
    A. Zecca, L. Chiari, A. Sarkar, K.L. Nixon, M. J. Brunger. Phys. Rev. A 80, 032702 (2009)ADSCrossRefGoogle Scholar
  20. 20.
    J.-Y. Zhang, J. Mitroy, K. Varga. Phys. Rev. Lett. 103, 223202 (2009)ADSCrossRefGoogle Scholar
  21. 21.
    A. Zecca, L. Chiari, E. Trainotti, A. Sarkar, S. d’A. Sanchez, M.H.F. Bettega, M.T. do, N. Varella, M.A.P. Lima, M.J. Brunger, Phys. Rev A 85, 012707 (2012)ADSCrossRefGoogle Scholar
  22. 22.
    T.N. Olney, N.M. Cann, G. Cooper, C.E. Brion, Chem. Phys. 223, 59 (1997)CrossRefADSGoogle Scholar
  23. 23.
    S.J. Buckman, B. Lohmann, J. Phys. B: At. Mol. Phys. 19, 2547 (1986)ADSCrossRefGoogle Scholar
  24. 24.
    D. Andrick, A. Bitsch, J. Phys. B 8, 393 (1975)ADSCrossRefGoogle Scholar
  25. 25.
    T.W. Shyn, Phys. Rev. A 22, 916 (1980)ADSCrossRefGoogle Scholar
  26. 26.
    D.F. Register, S. Trajmar, S.K. Srivastava, Phys. Rev. A 21, 1134 (1980)ADSCrossRefGoogle Scholar
  27. 27.
    M.J. Brunger, S.J. Buckman, L.J. Allen, I.E. McCarthy, K. Ratnavelu, J. Phys. B 25, 1823 (1992)ADSCrossRefGoogle Scholar
  28. 28.
    J.P. Sullivan, C. Makochekanwa, A. Jones, P. Caradonna, S. Buckman, J. Phys. B: At. Mol. Opt. Phys. 41, 081001 (2008)ADSCrossRefGoogle Scholar
  29. 29.
    G.P. Karwasz, R.S. Brusa, D. Pliszka, Nucl. Instr. Methods B 251, 520 (2006)ADSCrossRefGoogle Scholar
  30. 30.
    A. Dasgupta, A.K. Bhatia, Phys. Rev. A 32, 3335 (1985)ADSCrossRefGoogle Scholar
  31. 31.
    G.N. Haddad, T.F. O’Malley, Aust. J. Phys. 35, 35 (1982)ADSGoogle Scholar
  32. 32.
    G.P. Karwasz, D. Pliszka, R.S. Brusa, Nucl. Instrum. Methods Phys. Res. B 247, 68 (2006)ADSCrossRefGoogle Scholar
  33. 33.
    A. Zecca, L. Chiari, E. Trainotti, D.V. Fursa, I. Bray, A. Sarkar, S. Chattopadhyay, K. Ratnavelu, M.J. Brunger, J. Phys. B: At. Mol. Opt. Phys. 45, 015203 (2012)ADSCrossRefGoogle Scholar
  34. 34.
    R.P. McEachran, D.L. Morgan, A.G. Ryman, A.D. Stauffer, J. Phys. B: Atom. Mol. Phys. 10, 663 (1977)ADSCrossRefGoogle Scholar
  35. 35.
    K.R. Hoffman, M.S. Dababneh, Y.-F. Hsieh, W.E. Kauppila, V. Pol, J. H. Smart, T.S. Stein, Phys. Rev. A 25, 1393 (1982)ADSCrossRefGoogle Scholar
  36. 36.
    B. Schmidt, J. Phys. B: At. Mol. Opt. Phys. 24, 4809 (1991)ADSCrossRefGoogle Scholar
  37. 37.
    J. Ferch, B. Granitza, C. Masche, W. Raith, J. Phys. B 18, L455 (1985)CrossRefGoogle Scholar
  38. 38.
    B. Lohmann, S.J. Buckman, J. Phys. B: At. Mol. Phys. 19, 2565 (1986)ADSCrossRefGoogle Scholar
  39. 39.
    O. Sueoka, S. Mori, J. Phys. B: At. Mol. Phys. 19, 4035 (1986)ADSCrossRefGoogle Scholar
  40. 40.
    M.S. Dababneh, Y.-F. Hsieh, W.E. Kauppila, C.K. Kwan, S.J. Smith, T.S. Stein, M.N. Uddin, Phys. Rev. A 38, 1207 (1988)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Institute of PhysicsNicolaus Copernicus UniversityToruńPoland
  2. 2.Faculty of PhysicsUniversity of WarsawWarszawaPoland

Personalised recommendations