Advertisement

Electronic excitation cross section in positron scattering by H2 molecules using distorted-wave method

  • Luciara I. Weiss
  • Adriane S. F. Pinho
  • Sergio E. Michelin
  • Milton M. Fujimoto
Regular Article
  • 59 Downloads
Part of the following topical collections:
  1. Topical Issue: Low Energy Positron and Electron Interactions

Abstract

In this work we have applied for the first time the distorted-wave approximation (DWA) combined with Schwinger Variational Iterative Method (SVIM) to describe electronic excitation of H2 molecules by positron collisions. The integral (ICS) and differential (DCS) excitation cross sections for X1Σg+ → B1Σu+ transition of H2 molecule, in the range from near threshold up to 45 eV of positron energies, were reported in static (ST) and static-correlation-polarization (STPOL) levels. Our two-state ICS in DWA-ST level have quantitative agreement with experimental measurement at energies from threshold up to 18 eV and the inclusion of polarization effects increases the cross sections. Comparison with 2-state close-coupling approximation (CCA), 2-state Schwinger Multichannel (SMC), 5-state SMC and 1013-state from Convergent Close-Coupling (CCC) methods are done and is encouraging. The relative steeper drop above 22 eV in experimental ICS was not observed by any theoretical calculations indicating that new measurements would be interesting for this transition in this energy range.

Graphical abstract

References

  1. 1.
    N. Guessoum, P. Jean, W. Gillard, Astron. Astrophys. 436, 171 (2005) ADSCrossRefGoogle Scholar
  2. 2.
    C.M. Surko, M. Leventhal, W.S. Crane, A. Passner, F. Wysocki, T.J. Murphy, J. Strachan, W.L. Rowan, Rev. Sci. Instrum. 57, 1862 (1986) ADSCrossRefGoogle Scholar
  3. 3.
    M.J. Brunger, S.J. Buckman, A. Zecca, J. Phys.: Conf. Ser. 194, 012034 (2009) Google Scholar
  4. 4.
    T.C. Griffith, G.R. Heyland, Phys. Rep. 39, 169 (1978) ADSCrossRefGoogle Scholar
  5. 5.
    C.M. Surko, G.F. Gribakin, S.J. Buckman, J. Phys. B: At. Mol. Opt. Phys. 38, R57 (2005) ADSCrossRefGoogle Scholar
  6. 6.
    S. Zhou, H. Li, W.E. Kauppila, C.K. Kwan, T.S. Stein, Phys. Rev. A 55, 361 (1997) ADSCrossRefGoogle Scholar
  7. 7.
    P.G. Coleman, T.C. Griffith, G.R. Heyland, Appl. Phys. 4, 89 (1974) ADSCrossRefGoogle Scholar
  8. 8.
    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
  9. 9.
    M. Charlton, T.C. Griffith, G.R. Heyland, G.L. Wright, J. Phys. B: At. Mol. Phys. 13, L353 (1980) ADSCrossRefGoogle Scholar
  10. 10.
    J.P. Sullivan, S.J. Gilbert, S.J. Buckman, C.M. Surko, J. Phys. B: At. Mol. Opt. Phys. 34, L467 (2001) ADSCrossRefGoogle Scholar
  11. 11.
    A. Zecca, L. Chiari, A. Sarkar, K.L. Nixon, M.J. Brunger, Phys. Rev. A 80, 032702 (2009) ADSCrossRefGoogle Scholar
  12. 12.
    J.R. Machacek, E.K. Anderson, C. Makochekanwa, S.J. Buckman, J.P. Sullivan, Phys. Rev. A 88, 042715 (2013) ADSCrossRefGoogle Scholar
  13. 13.
    E.A.G. Armour, D.J. Baker, M. Plummer, J. Phys. B: At. Mol. Opt. Phys. 23, 3057 (1990) ADSCrossRefGoogle Scholar
  14. 14.
    G. Danby, J. Tennyson, J. Phys. B: At. Mol. Opt. Phys. 23, 1005 (1990) ADSCrossRefGoogle Scholar
  15. 15.
    T.L. Gibson, J. Phys. B: At. Mol. Opt. Phys. 25, 1321 (1992) ADSCrossRefGoogle Scholar
  16. 16.
    D.D. Reid, W.B. Klann, J.M. Wadehra, Phys. Rev. A 70, 062714 (2004) ADSCrossRefGoogle Scholar
  17. 17.
    F.A. Gianturco, P. Paioletti, J.A. Rodriguez-Ruiz, Z. Phys. D: At. Mol. Clusters 36, 51 (1996) CrossRefGoogle Scholar
  18. 18.
    F. Arretche, M.A.P. Lima, Phys. Rev. A 74, 042713 (2006) ADSCrossRefGoogle Scholar
  19. 19.
    T. Mukherjee, N.K. Sarkar, J. Phys. B: At. Mol. Opt. Phys. 41, 125201 (2008) ADSCrossRefGoogle Scholar
  20. 20.
    R. Zhang, K.L. Baluja, J. Franz, J. Tennyson, J. Phys. B: At. Mol. Opt. Phys. 44, 035203 (2011) ADSCrossRefGoogle Scholar
  21. 21.
    W. Tenfen, K.T. Mazon, S.E. Michelin, F. Arretche, Phys. Rev. A 86, 042706 (2012) ADSCrossRefGoogle Scholar
  22. 22.
    M.C. Zammit, D.V. Fursa, I. Bray, Phys. Rev. A 87, 020701(R) (2013) ADSCrossRefGoogle Scholar
  23. 23.
    L.S. Fornari, L.M. Diana, P.G. Coleman, Phys. Rev. Lett. 51, 2276 (1983) ADSCrossRefGoogle Scholar
  24. 24.
    D. Fromme, G. Kruse, W. Raith, G. Sinapius, J. Phys. B: At. Mol. Opt. Phys. 21, L261 (1988) ADSCrossRefGoogle Scholar
  25. 25.
    P.K. Biswas, A.S. Ghosh, J. Phys. B: At. Mol. Opt. Phys. 30, 983 (1997) ADSCrossRefGoogle Scholar
  26. 26.
    P.K. Biswas, J.S.E. Germano, T. Frederico, J. Phys. B: At. Mol. Opt. Phys. 35, L409 (2002) ADSCrossRefGoogle Scholar
  27. 27.
    J. Moxom, G. Laricchia, M. Charlton, J. Phys. B: At. Mol. Opt. Phys. 28, 1331 (1995) ADSCrossRefGoogle Scholar
  28. 28.
    H. Knudsen, L. Brun-Nielsen, M. Charlton, M.R. Poulsen, J. Phys. B: At. Mol. Opt. Phys. 23, 3955 (1990) ADSCrossRefGoogle Scholar
  29. 29.
    F.M. Jacobsen, N.P. Frandsen, H. Knudsen, U. Mikkelsen, J. Phys. B: At. Mol. Opt. Phys. 28, 4675 (1995) ADSCrossRefGoogle Scholar
  30. 30.
    R.I. Campeanu, J.W. Darewych, A.D. Stauffer, J. Phys. B:At. Mol. Opt. Phys. 30, 5033 (1997) ADSCrossRefGoogle Scholar
  31. 31.
    R. Utamuratov, A.S. Kadyrov, D.V. Fursa, M.C. Zammit, I. Bray, Phys. Rev. A 92, 032707 (2015) ADSCrossRefGoogle Scholar
  32. 32.
    A.S. Kadyrov, I. Bray, J. Phys. B: At. Mol. Opt. Phys. 49, 222002 (2016) ADSCrossRefGoogle Scholar
  33. 33.
    M.J. Brunger, S.J. Buckman, K. Ratnavelu, J. Phys. Chem. Ref. Data 46, 023102 (2017) ADSCrossRefGoogle Scholar
  34. 34.
    A.W. Fliflet, V. McKoy, Phys. Rev. A 21, 1863 (1980) ADSCrossRefGoogle Scholar
  35. 35.
    R.R. Lucchese, G. Raseev, V. McKoy, Phys. Rev. A 25, 2572 (1982) ADSCrossRefGoogle Scholar
  36. 36.
    J.L.S. Lino, J.S.E. Germano, M.A.P. Lima, J. Phys. B: At. Mol. Opt. Phys. 27, 1881 (1994) ADSCrossRefGoogle Scholar
  37. 37.
    T. Mukherjee, S. Sur, A.S. Ghosh, J. Phys. B: At. Mol. Opt. Phys. 24, 1449 (1991) ADSCrossRefGoogle Scholar
  38. 38.
    M. Mukherjee, T. Mukherjee, A.S. Ghosh, J. Phys. B: At. Mol. Opt. Phys. 24, L463 (1991) ADSCrossRefGoogle Scholar
  39. 39.
    M.M. Fujimoto, M.-T. Lee, S.E. Michelin, J. Mol. Struct. Theochem. 671, 59 (2004) CrossRefGoogle Scholar
  40. 40.
    S.E. Michelin, F. Arretche, K.T. Mazon, J.J. Piacentini, A. Marin, H.L. Oliveira, D. Travessini, M.-T. Lee, I. Iga, M.M. Fujimoto, J. Phys. B: At. Mol. Opt. Phys. 40, 4333 (2007) ADSCrossRefGoogle Scholar
  41. 41.
    S.E. Michelin, K.T. Mazon, F. Arretche, W. Tenfen, H.L. Oliveira, A.S. Falck, M.A. Scopel, L.S.S. Silva, M.M. Fujimoto, I. Iga, M.-T. Lee, J. Electron. Spectrosc. Relat. Phenom. 171, 30 (2009) CrossRefGoogle Scholar
  42. 42.
    L.M. Brescansin, I. Iga, L.E. Machado, S.E. Michelin, M.-T. Lee, Phys. Rev. A 81, 012709 (2010) ADSCrossRefGoogle Scholar
  43. 43.
    L.E. Machado, R.T. Sugohara, A.S. Santos, M.-T. Lee, I. Iga, G.L.C. Souza, M.G.P. Homem, S.E. Michelin, L.M. Brescansin, Phys. Rev. A 84, 032709 (2011) ADSCrossRefGoogle Scholar
  44. 44.
    F. Arretche, K.T. Mazon, A.S. Falck, A. Marin, H.L. Oliveira, O.A. Pessoa, D. Travessini, S.E. Michelin, M.M. Fujimoto, M.-T. Lee, J. Phys. Conf. Ser. 115, 012007 (2008) CrossRefGoogle Scholar
  45. 45.
    M.-T. Lee, I. Iga, M.G.P. Homem, L.E. Machado, L.M. Brescansin, Phys. Rev. A 65, 062702 (2002) ADSCrossRefGoogle Scholar
  46. 46.
    T. Kroin, S.E. Michelin, M.-T. Lee, J. Phys. B: At. Mol. Opt. Phys. 34, 1829 (2001) ADSCrossRefGoogle Scholar
  47. 47.
    U. Fano, D. Dill, Phys. Rev. A 6, 185 (1972) ADSCrossRefGoogle Scholar
  48. 48.
    T.H. Dunning Jr., J. Chem. Phys. 55, 716 (1971) ADSCrossRefGoogle Scholar
  49. 49.
    W. Kołos, J. Rychlewski, J. Mol. Spectrosc. 66, 428 (1977) ADSCrossRefGoogle Scholar
  50. 50.
    W.A. Goddard III, W.J. Hunt, Chem. Phys. Lett. 24, 464 (1974) ADSCrossRefGoogle Scholar
  51. 51.
    S.E. Branchett, J. Tennyson, Phys. Rev. Lett. 64, 2889 (1990) ADSCrossRefGoogle Scholar
  52. 52.
    T.E. Sharp, At. Data Nucl. Data Tables 2, 119 (1971) ADSCrossRefGoogle Scholar
  53. 53.
    A. Jain, F.A. Gianturco, J. Phys. B: At. Mol. Opt. Phys. 24, 2387 (1991) ADSCrossRefGoogle Scholar
  54. 54.
    M.C. Zammit, D.V. Fursa, J.S. Savage, I. Bray, Phys. B: At. Mol. Opt. Phys. 50, 123001 (2017) ADSCrossRefGoogle Scholar
  55. 55.
    M.A. Khakoo, S. Trajmar, Phys. Rev. A 34, 146 (1986) ADSCrossRefGoogle Scholar
  56. 56.
    J. Wrkich, D. Mathews, I. Kanik, S. Trajmar, M.A. Khakoo, J. Phys. B: At. Mol. Opt. Phys. 35, 4695 (2002) ADSCrossRefGoogle Scholar
  57. 57.
    M.A. Morrison, T.L. Gibson, D. Austin, J. Phys. B At. Mol. Phys. 17, 2725 (1984) ADSCrossRefGoogle Scholar
  58. 58.
    B.K. Elza, T.L. Gibson, M.A. Morrison, B.C. Saha, J. Phys. B:At. Mol. Opt. Phys. 22, 113 (1989) ADSCrossRefGoogle Scholar
  59. 59.
    J. Franz, Eur. Phys. J. D 71, 44, (2017) ADSCrossRefGoogle Scholar
  60. 60.
    C. Winstead, V. McKoy, Adv. At. Mol. Opt. Phys. 36, 183 (1996) ADSCrossRefGoogle Scholar
  61. 61.
    J. Tennyson, J. Phys. B At. Mol. Phys. 19, 4255 (1986) ADSCrossRefGoogle Scholar
  62. 62.
    E.A.G. Armour, J. Phys. B At. Mol. Phys. 18, 3361 (1985) ADSCrossRefGoogle Scholar
  63. 63.
    E.A. y Castro, G.L.C. de Souza, I. Iga, L.E. Machado, L.M. Brescansin, M.-T. Lee, J. Electron. Spectrosc. Relat. Phenom. 159, 30 (2007) CrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Luciara I. Weiss
    • 1
  • Adriane S. F. Pinho
    • 2
  • Sergio E. Michelin
    • 2
  • Milton M. Fujimoto
    • 3
  1. 1.Departamento Acadêmico de Física, Universidade Tecnológica Federal do ParanáPato BrancoBrazil
  2. 2.Departamento de Física, Universidade Federal de Santa CatarinaFlorianópolisBrazil
  3. 3.Departamento de Física, Universidade Federal do ParanáCuritibaBrazil

Personalised recommendations