Ionization of the molecular targets using the coherent and incoherent ion beams

Document Type : Full length research Paper

Author

Department of Physics, Faculty of Sciences, University of Isfahan, Isfahan 81746-73441, Iran

Abstract

One of the important and interesting aspects of the ionization of the molecular targets using the ionic beams is the interference which occurs between the beams scattered from different molecular scattering centers. Experience has shown that the interference patterns occurred using the coherent and incoherent beams have some small but important differences with each other. The taking into account of the origin of these differences by theoretical approaches is usually difficult even impossible. In this research, a theoretical model is proposed to study the triple differential cross sections of ionization of hydrogen molecules by coherent projectile beams. In this model, the ionization cross section is obtained by a superposition of the partial cross sections in the two-effective-center (TEC) approximation with one and two Coulomb waves. The obtained results for collision of protons with hydrogen molecules are compared with experimental data. Comparison shows that the interference effects due to the superposition of the two partial amplitudes are in good agreement with the interference patterns observed for the coherent proton beam.

Keywords

Main Subjects

References

[1] R. Dörner, V. Mergel, O. Jagutzki, L. Spielberger, J. Ullrich, R. Moshammer, H. Schmidt-Böcking, Cold target recoil ion momentum spectroscopy: a 'momentum microscope' to view atomic collision dynamics, Physics Reports 330 (2000) 95

[2] J. Ullrich, R. Moshammer, A. Dorn, R. Dörner, L.Ph.H. Schmidt, H. Schmidt-Böcking, Recoil-ion and electron momentum spectroscopy: reaction-microscopes, Reports on Progress in Physics 66 (2003) 1463

[3] D. Fischer, D. Globig, J. Goullon, M. Grieser, R. Hubele, V.L.B. de Jesus, A. Kelkar, A. LaForge, H. Lindenblatt, D. Misra, B. Najjari, K. Schneider, M. Schulz, M. Sell, and X. Wang, Ion-lithium collision dynamics studied with a laser-cooled in-ring target, Physical Review Letters 109 (2012) 113202

[4] M. Schulz, T. Vajnai, J.A. Brand, Differential double capture cross sections in p+He collisions, Physical Review A 75 (2007) 022717

[5] S. Sharma, T.P. Arthanayaka, A. Hasan, B.R. Lamichhane, J. Remolina, A. Smith, M. Schulz, Fully differential study of interference effects in the ionization of H2 by proton impact, Physical Review A 90 (2014) 052710

[6] A. Hasan, S. Sharma, T.P. Arthanayaka, B.R. Lamichhane, J. Remolina, S. Akula, D.H. Madison,  M. Schulz, Triple differential study of ionization of H2 by proton impact for varying electron ejection geometries, Journal of Physics B: Atomic, Molecular and Optical Physics 47 (2014) 215201
[7] T.P. Arthanayaka, S. Sharma, B.R. Lamichhane, A. Hasan, J. Remolina, S. Gurung and M. Schulz, Separation of single-and two-center interference in ionization of H2 by proton impact, Journal of Physics B: Atomic, Molecular and Optical Physics 48 (2015) 071001
[8] T.F. Tuan, E. Gerjuoy, Charge transfer in molecular hydrogen, Physical Review 117 (1960) 756-763
[9] Y.D. Wang, J.H. McGuire, R.D. Rivarola, Impact-parameter treatment of high-velocity electron capture from diatomic molecules at fixed orientation, Physical Review A 40 (1989) 3673-3680.
[10] E. Ghanbari-Adivi, S.H. Sattarpour, Eikonal approximation for single-electron capture from hyd rogen molecules by proton impact, Molecular Physics 113(2015)   3336–3344
[11] E. Ghanbari-Adivi, S.H. Sattarpour, Single charge exchange in collision of fast protons with hydrogen molecules,  International Journal of  Modern Physics E24  (2015) 1550095
[12] P. Weck, O.A. Fojon, J. Hanssen, B. Joulakian, R.D. Rivarola,  Two-effective center approximation for the single ionization of molecular hydrogen by fast electron impact,  Physical Review A 63   (2001) 042709.
[13] P.F. Weck, O.A. Fojon, B. Joulakian,  C.R. Stia,  J. Hanssen,  and R.D. Rivarola, Two-center continuum approximation with correct boundary conditions for single-electron emission in e--H2 collisions, Physical Review A 66(2002)012711.
[14] C.R. Stia, O.A. Fojon, P.F. Weck, J. Hanssen, B. Joulakian, R.D. Rivarola,  Molecular three-continuum approximation for ionization of  H2 by electron impact, Physical Review  A 66 (2002) 052709 .
[15] E. Ghanbari-Adivi, Energetic proton-impact single ionization of hydrogen molecules, Journal of Physics B: Atomic Molecular and Optical Physics 48 (2015) 195203
[16] E. Ghanbari-Adivi, Two-effective-center approximation for proton-impact single ionization of hydrogen, The European Physical Journal D 69 (2015) 228
[17] M.F. Ciappina, C.A. Tachino, R.D. Rivarola, S. Sharma and M. Schulz, Single- and two-centre effects in fully differential cross sections for single ionization of  H2 molecules by 75 keV protons, Journal of Physics B: Atomic, Molecular and Optical Physics 48 (2015) 115204
[18] C.R. Stia, O.A. Fojón, S. Chatterjee, D. Misra, L.C. Tribedi and R.D. Rivarola, Tracing fingerprints of young type interferences in angular distributions of ejected electrons from molecular targets, Journal of Physics: Conference Series 212 (2010) 012019
 
[19] E. Ghanbari-Adivi, Molecular three-body Brauner-Briggs-Klar theory for ion-impact ionization of molecules, Europhys. Lett. 116 (2016) 63001
 

[20] M. Brauner, J.S. Briggs, H. Klar, Triply-differential cross sections for ionisation of hydrogen atoms by electrons and positrons, Journal of Physics B: Atomic, Molecular and Optical Physics., 22 (1989) 2265

Journal of Research on Many-body Systems
Volume 7, Issue 15
December 2017
Pages 65-75

Files

History

  • Receive Date: 13 August 2016
  • Revise Date: 04 March 2017
  • Accept Date: 29 May 2017

Share

How to cite

Statistics