Antiproton impact ionization of hydrogen atom: Differential cross sections computed by Coulomb wave function discrete variable representation method

Authors

  • Zorigt Gombosuren Department of Physics, School of Applied Sciences, Mongolian University of Science and Technology, Ulaanbaatar, Mongolia
  • Aldarmaa Chuluunbaatar Department of Physics, School of Applied Sciences, Mongolian University of Science and Technology, Ulaanbaatar, Mongolia
  • Khenmedekh Lochin Department of Physics, School of Applied Sciences, Mongolian University of Science and Technology, Ulaanbaatar, Mongolia
  • Lkhagva Oidov Department of Physics, School of Arts and Sciences, National University of Mongolia, Ulaanbaatar, Mongolia
  • Khatanbold Erdenebayar Department of Physics, School of Applied Sciences, Mongolian University of Science and Technology, Ulaanbaatar, Mongolia

DOI:

https://doi.org/10.5564/jasea.v3i1.2477

Keywords:

Collisions of charged particles with atoms, Ionization, doubly differential cross sections, singly differential cross sections

Abstract

Our aim is using the Coulomb wave function discrete variable representation method (CWDVR) for the calculation of collision problem in first time. Nonrelativistic collision of antiproton with hydrogen atom is described by solving the time-dependent Schrodinger equation numerically. Two collision amplitudes are used for calculation of the differential cross sections, one of them corresponds to impact parameter of the projectile while other one is determined by projectile momentum transfer and found by Fourier transform of the first one. The ionization amplitude calculated by projecting of the wave function onto continuum wave function of the ejected electron. The differential cross sections calculated depending on projectile impact energy, scattering angle and electron ejection energy and angles, which is a result that can be measured experimentally. Our results are in good agreement with the relativistic calculation results.

Abstract
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References

S. Jones and D. H. Madison, Scaling behavior of the fully differential cross section for ionization of hydrogen atoms by the impact of fast elementary charged particles, Physical Review, A 65-05 (2002). https://doi.org/10.1103/PhysRevA.65.052727

A. B. Voitkiv and J. Ullrich, Three-body Coulomb dynamics in hydrogen ionization by protons and antiprotons at intermediate collision velocities, Physical Review, A 67-06 (2003). https://doi.org/10.1103/PhysRevA.67.062703

A. Igarashi, S. Nakazaki, and A. Ohsaki, Ionization of atomic hydrogen by antiproton impact Physical Review. A 61 -6, (2000). https://doi.org/10.1103/PhysRevA.61.062712

Xiao-Min Tong, Tsutomu Watanabe, Daiji Kato and Shunsuke Ohtani, High-efficiency nondistortion quantum interrogation of atoms in quantum superpositions, Physical Review. A 64-02 (2001). https://doi.org/10.1103/PhysRevA.64.020101

M. McGovern, D. Assafrao, J. R. Mohallem, C. T. Whelan, and H. R. J. Walters, Differential and total cross sections for antiproton-impact ionization of atomic hydrogen and helium, Physical Review, A 79-04 (2009). https://doi.org/10.1103/PhysRevA.79.042707

M. McGovern, D. Assafrao, J. R. Mohallem, C. T. Whelan, and H. R. J. Walters, Differential and total cross sections for antiproton-impact ionization of atomic hydrogen and heliumPhysical Review, A 81-03 (2010). https://doi.org/10.1103/PhysRevA.81.032708

I. B. Abdurakhmanov, A. S. Kadyrov, I. Bray, and A. T. Stelbovics, Differential ionization in antiproton–hydrogen collisions within the convergent-close-coupling approach, Journal of Physics B: Atomic, Molecular and Optical Physics, 44-16 (2011). https://doi.org/10.1088/0953-4075/44/16/165203

I. B. Abdurakhmanov, A. S. Kadyrov, and I. Bray, Wave-packet continuum-discretization approach to ion-atom collisions: Nonrearrangement scattering, Physical Review, A 94-02 (2016). https://doi.org/10.1103/PhysRevA.94.022703

M. F. Ciappina, T.G. Lee, M. S. Pindzola, and J. Colgan, Nucleus-nucleus effects in differential cross sections for antiproton-impact ionization of H atoms, Physical Review. A 88-04 (2013). https://doi.org/10.1103/PhysRevA.88.042714

A. I. Bondarev, Y. S. Kozhedub, I. I. Tupitsyn, V. M. Shabaev, and G. Plunien, Relativistic calculations of differential ionization cross sections: Application to antiproton-hydrogen collisions, Physical Review, A 95-05 (2017). https://doi.org/10.1103/PhysRevA.95.052709

K.M. Dunseath, J.M Launay, M Terao-Dunseath and L Mouret, Schwartz interpolation for problems involving the Coulomb potential, Journal of Physics B: Atomic, Molecular and Optical Physics, 35-16 (2002). https://doi.org/10.1088/0953-4075/35/16/313

Peng. Liang-You and Starace. Anthony F, Application of Coulomb wave function discrete variable representation to atomic systems in strong laser fields, The Journal of Chemical Physics 125 (2006). https://doi.org/10.1063/1.2358351

M. Suzuki, Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics Journal of Mathematical Physics, 26-601 (1985). https://doi.org/10.1063/1.526596

G. Zorigt, L. Khenmedekh, Ch. Aldarmaa, Fully differential cross sections of proton-hydrogen and antiproton- hydrogen collisions, IJMA- 10-5 (2019), pp. 19-23. http://www.ijma.info/index.php/ijma/article/view/5994

A. I. Bondarev, Y. S. Kozhedub, I. I. Tupitsyn, V. M. Shabaev, G. Plunien and·Th. Stohlker, Differential cross sections for ionization of atomic hydrogen by antiprotons, Hyperfine Interact 240-60 (2019). https://doi.org/10.1007/s10751-019-1562-2

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Published

2022-12-31

How to Cite

[1]
Z. Gombosuren, A. Chuluunbaatar, K. Lochin, L. Oidov, and K. Erdenebayar, “Antiproton impact ionization of hydrogen atom: Differential cross sections computed by Coulomb wave function discrete variable representation method”, J. appl. sci. eng., A, vol. 3, no. 1, pp. 59–70, Dec. 2022.

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