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Fully differential cross sections for single ionization of helium by proton impact

  • Regular Article - Atomic and Molecular Collisions
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Abstract

We have studied the electron emission angular distributions for single ionization of helium atoms in their ground states induced by fast proton impact in coplanar geometry. We have employed the four-body formalism of distorted wave (DW-4B) approximation to calculate the fully differential cross sections (FDCS) of the ejected electron for several values of the momentum transfer and energies of the electrons ejected in the scattering plane. In this formalism, distortion in the exit channel related to the Coulomb continuum states of the scattered proton and the ejected electron in the field of residual target ion are included. In the entrance channel, the initial bound state wavefunction is distorted by the incoming proton and the corresponding wavefunction is related to the Coulomb continuum state of the active electron and the proton. The transition amplitude contains nine-dimensional integrals, and it is analytically reduced to two-dimensional integrals. These two-dimensional integrals can be calculated numerically. The influence of the target wavefunctions on the FDCS is also investigated using various bound-state wavefunctions for the helium atom. The obtained results using the DW-4B approximation have been compared with the recent measurements of Schulz et al. (Phys Rev A 73:062704, 2006), Gassert et al. (Phys Rev Lett 116:073201, 2016) and Chuluunbaatar et al. (Phys Rev A 99:062711, 2019) and with the other theoretical calculations. It is found that in the whole angular range clear discrepancies are found between the experimental data and the theoretical predictions at large momentum transfer and intermediate impact energy.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Cross section data used in this work are available from the Authors upon reasonable request.]

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Acknowledgements

We are thankful to Prof.C. R. Mandal for helpful discussions and a critical review of the manuscript. All of us would like to thank Science and Engineering Research Board (SERB), New Delhi, India, for the support of this work through Grant No. CRG/2018/001344. The authors also thank Prof. M. Schulz for the communication of their experimental data in tabulated form.

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Authors and Affiliations

  1. Department of Physics, Ramakrishna Mission Residential College, Narendrapur, Kolkata, 700103, India

    D. Jana, S. Samaddar, K. Purkait & M. Purkait

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  1. D. Jana
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  2. S. Samaddar
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  3. K. Purkait
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  4. M. Purkait
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Contributions

Theoretical idea is given by MP. The details of theoretical calculations and simulations are done by DJ, KP and SS. MP prepared the manuscript. All the authors have read and approved the final manuscript.

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Correspondence to M. Purkait.

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Jana, D., Samaddar, S., Purkait, K. et al. Fully differential cross sections for single ionization of helium by proton impact. Eur. Phys. J. D 75, 164 (2021). https://doi.org/10.1140/epjd/s10053-021-00160-1

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