Pramana

, Volume 66, Issue 2, pp 415–422 | Cite as

Coulomb—Born—Oppenheimer approximation in Ps—H scattering

  • Hasi Ray
Article

Abstract

To improve the Coulomb-Born approximation (CBA) theory of ionization in positronium (Ps) and atom scattering, the effect of exchange is introduced. The nine-dimensional exchange amplitude for ionization of Ps in Ps—H scattering is reduced to a two-dimensional integral using the present Coulomb-Born-Oppenheimer approximation (CBOA). The methodology is extremely useful to evaluate ionization parameters for different target systems and for different types of ionization processes. It is then applied to evaluate the Ps-ionization cross-section and to estimate the effect of exchange on Psionization in Ps-H system. We establish the importance of exchange at lower energy region.

Keywords

Positronium ionization exchange electron-spin continuum Coulomb wave function 

PACS Nos

36.10.Dr 34.70.+e 82.30.Gg 95.30.Dr 

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References

  1. [1]
    H S W Massey and C B O Mohr,Proc. Phys. Soc. 67, 695 (1954)MATHCrossRefADSGoogle Scholar
  2. [2]
    S Armitage, D E Leslie, A J Garner and G Laricchia,Phys. Rev. Lett. 89, 173402 (2002)CrossRefADSGoogle Scholar
  3. [3]
    H Ray,Phys. Lett. A252, 316 (1999)ADSGoogle Scholar
  4. [4]
    H Ray,J. Phys. B35, 3365 (2002)ADSGoogle Scholar
  5. [5]
    H Ray,Nucl. Instrum. Methods Phys. Res. 192, 191 (2002)CrossRefADSGoogle Scholar
  6. [6]
    H Ray,Phys. Lett. A299, 65 (2002)ADSGoogle Scholar
  7. [7]
    H Ray,Pramana -J. Phys. 63, 1063 (2004)ADSGoogle Scholar
  8. [8]
    J E Blackwood, C P Campbell, M T McAlinden and HRJ Walters,Phys. Rev. A60, 4454 (1999)ADSGoogle Scholar
  9. [9]
    M T McAlinden, FGRS MacDonald and H R J Walters,Can. J. Phys. 74, 434 (1996)ADSGoogle Scholar
  10. [10]
    C P Campbell, M T McAlinden, F G R S MacDonald and H R J Walters,Phys. Rev. Lett. 80, 5097 (1998)CrossRefADSGoogle Scholar
  11. [11]
    J E Blackwood, M T McAlinden and H R J Walters,Phys. Rev. A65, 032517 (2002)ADSGoogle Scholar
  12. [12]
    J E Blackwood, M T McAlinden and H R J Walters,J. Phys. B35, 2661 (2002)ADSGoogle Scholar
  13. [13]
    P K Biswas and S K Adhikari,Phys. Rev. A59, 363 (1999)ADSGoogle Scholar
  14. [14]
    H Ray and A S Ghosh,J. Phys. B31, 4427 (1998)ADSGoogle Scholar
  15. [15]
    A S Ghosh, P K Sinha and H Ray,Nucl. Instrum. Methods Phys. Res. B143, 162 (1998)ADSGoogle Scholar
  16. [16]
    N K Sarkar, P Chaudhury and A S Ghosh,J. Phys. B32, 1657 (1999)ADSGoogle Scholar
  17. [17]
    A Basu, P K Sinha and A S Ghosh,Phys. Rev. A63, 012502 (2000)ADSGoogle Scholar
  18. [18]
    A Chakraborty, P K Sinha and A S Ghosh,Phys. Rev. A65, 062504 (2002)ADSGoogle Scholar
  19. [19]
    H Ray,J. Phys. B33, 4285 (2000)ADSGoogle Scholar
  20. [20]
    H Ray, New findings in Ps-H scattering using exact CCA,Phys. Rev. Lett. (2003-04) (unpublished)Google Scholar
  21. [21]
    P K Biswas and J W Darewych,Nucl. Instrum. Methods Phys. Res. B192, 138 (2002)ADSGoogle Scholar
  22. [22]
    S K Adhikari,Phys. Lett. A294, 308 (2002)ADSGoogle Scholar
  23. [23]
    J DiRienzi and R J Drachman,J. Phys. B36, 2409 (2003)ADSGoogle Scholar
  24. [24]
    J DiRienzi and R J Drachman,Phys. Rev. A66, 054702 (2002)ADSGoogle Scholar
  25. [25]
    Z C Yan and Y K Ho,J. Phys. B36, 4417 (2003)ADSGoogle Scholar
  26. [26]
    I Ivanov and Y K Ho,Phys. Rev. A60, 1015 (1999)ADSGoogle Scholar
  27. [27]
    I A Ivanov, J Mitroy and K Varga,Phys. Rev. Lett. 87, 063201 (2001)CrossRefADSGoogle Scholar
  28. [28]
    I A Ivanov, J Mitroy and K Varga,Phys. Rev. A65, 022704 (2002)ADSGoogle Scholar
  29. [29]
    M W J Bromley and J Mitroy,Phys. Rev. A65, 012505 (2002)ADSGoogle Scholar
  30. [30]
    P V Reeth and J W Humberston,J. Phys. B36, 1923 (2003)ADSGoogle Scholar
  31. [31]
    S Chiesa, M Mella and G Morosi,Phys. Rev. A66, 042502 (2002)ADSGoogle Scholar
  32. [32]
    Sadhan K Adhikari,Phys. Rev. A64, 022702 (2001)ADSGoogle Scholar
  33. [33]
    J Shertzer, J Ackermann and P Schmelcher,Phys. Rev. A58, 1129 (1998)ADSGoogle Scholar
  34. [34]
    ALR Bug, M Muluneh, J Waldman and P A Stern,Mater. Sci. Forum 445-446, 375 (2004)CrossRefGoogle Scholar
  35. [35]
    G F Gribakin and J Ludlow,Phys. Rev. Lett. 88, 163202 (2002)CrossRefADSGoogle Scholar
  36. [36]
    A M Frolov,Phys. Rev. A60, 2834 (1999)ADSGoogle Scholar
  37. [37]
    V V Usov,Phys. Rev. Lett. 80, 230 (1998)CrossRefADSGoogle Scholar
  38. [38]
    B Saha and P K Mukherjee,Phys. Lett. A302, 105 (2002)ADSGoogle Scholar
  39. [39]
    A P Mills Jr,Nucl. Instrum. Methods Phys. Res. B192, 107 (2002)ADSGoogle Scholar
  40. [40]
    N Zafar, G Laricchia, M Charlton and A Garner,Phys. Rev. Lett. 76, 1595 (1996)CrossRefADSGoogle Scholar
  41. [41]
    F Saito, Y Nagashima and T Hyodo,J. Phys. B36, 4191 (2003)ADSGoogle Scholar
  42. [42]
    M Charlton,Hyperfine Int. 109, 269 (1997)CrossRefADSGoogle Scholar
  43. [43]
    T Kumitaet al, Nucl. Instrum. Methods Phys. Res. B192, 171 (2002)ADSGoogle Scholar
  44. [44]
    S Geltman,Topics in atomic collision theory (Academic Press, New York and London, 1969) p. 142Google Scholar
  45. [45]
    M Brauner, J S Briggs and H Klar,J. Phys. B22, 2265 (1989)ADSGoogle Scholar
  46. [46]
    M R C McDowell and J P Coleman,Introduction to the theory of ion-atom collisions (North-Holland, Amsterdam, 1970) pp. 239–243Google Scholar
  47. [47]
    N F Mott and H S W Massey,The theory of atomic collisions, third edition (Oxford University Press, New York) (Reprinted 1987) vol. II, p. 414Google Scholar
  48. [48]
    R J Drachman,Atomic physics with positrons edited by J W Humberston and E A G Armour (Plenum, New York, 1987) pp. 203–214Google Scholar
  49. [49]
    D P Dewangan and J Eichler,Phys. Rep. 247, 59 (1994)CrossRefADSGoogle Scholar
  50. [50]
    H Ray and A C Roy,Phys. Rev. A46, 5714 (1992)ADSGoogle Scholar
  51. [51]
    H Ray,Studies on electron impact ionization on atoms, Ph.D. Thesis (Kalyani University, India, 1991-92)Google Scholar

Copyright information

© Indian Academy of Sciences 2006

Authors and Affiliations

  • Hasi Ray
    • 1
  1. 1.Department of PhysicsIndian Institute of Technology RoorkeeRoorkeeIndia

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