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Cross sections for single-electron capture from heliumlike targets by fast heavy nuclei

Nenad Milojević1, Ivan Mančev1, Danilo Delibašić1, and Dževad Belkić

  • 1Department of Physics, Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia
  • 2Karolinska Institute, Department of Oncology-Pathology, P.O. Box 260, SE-171 76, Stockholm, Sweden
  • 3Radiation Physics and Nuclear Medicine, Karolinska University Hospital, SE-171 76, Stockholm, Sweden

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Phys. Rev. A 107, 052806 – Published 17 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.052806

Abstract

Single charge-exchange in collisions of heavy bare nuclei with the ground state of two-electron atomic targets is described perturbatively as a four-body problem. The employed four-body boundary-corrected continuum intermediate state (BCIS-4B) method considers the correlated and uncorrelated target wave functions φi. A thorough examination is performed for the formation of any final hydrogen-like nlm state of the captured electron. For arbitrary projectile and target nuclear charges, the nine-dimensional integral in the transition amplitude is reduced to a two-dimensional numerical quadrature. The general analysis is applied to one-electron capture by protons from helium targets beginning with the lower edge (10 keV) of intermediate energies and extending to the higher (12.5 MeV) domain. These include the main peaks (Massey, Thomas) due to single and double scattering, respectively. The results encompass over 70 state-selective and state-summed cross sections (n≤6,0≤l≤n−1,−l≤m≤l). In comparison to measurements, the electronic correlations in φi greatly improve the overall performance of the BCIS-4B method around the Massey peak, below about 100 keV. Moreover, while largely outperforming the three-body boundary-corrected continuum intermediate state method, the cross sections in the BCIS-4B with the correlated φi compare excellently overall with the available experimental data at 10 to 12 500 keV. Hence, the BCIS-4B method, with its built-in two main capture mechanisms (one-step Massey and two-step Thomas) is capable of spanning impact energies covering three or more orders of magnitude at which the state-summed cross sections vary over 11 orders of magnitude.

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Phys. Rev. A 107, 052806– Published 17 May, 2023
  • Received 23 June 2022
  • Revised 6 March 2023
  • Accepted 2 May 2023
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