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Relativistic calculations of the charge-transfer probabilities and cross sections for low-energy collisions of H-like ions with bare nuclei

A method for solving the time-dependent two-center Dirac equation is developed. The time-dependent Dirac wave function is represented as a sum of atomiclike Dirac-Sturm orbitals, localized at the ions. The atomic orbitals are generated by solving numerically the one-center Dirac and Dirac-Sturm equa...

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Main Authors: Tupitsyn, Ilya Igorevich (Author) , Kozhedub, Y. S. (Author) , Shabaev, V. M. (Author) , Deyneka, G. B. (Author) , Hagmann, S. (Author) , Kozhuharov, C. (Author) , Plunien, G. (Author) , Stöhlker, Thomas (Author)
Format: Article (Journal)
Language:English
Published: 7 October 2010
In: Physical review. A, Atomic, molecular, and optical physics
Year: 2010, Volume: 82, Issue: 4, Pages: 1-16
ISSN:1094-1622
DOI:10.1103/PhysRevA.82.042701
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.82.042701
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.82.042701
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Author Notes:I.I. Tupitsyn, Y.S. Kozhedub, V.M. Shabaev, G.B. Deyneka, S. Hagmann, C. Kozhuharov, G. Plunien, and Th. Stöhlker
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Summary:A method for solving the time-dependent two-center Dirac equation is developed. The time-dependent Dirac wave function is represented as a sum of atomiclike Dirac-Sturm orbitals, localized at the ions. The atomic orbitals are generated by solving numerically the one-center Dirac and Dirac-Sturm equations by means of a finite-difference approach with the Coulomb potential taken as the sum of the exact reference-nucleus potential and of the other nucleus within the monopole approximation. An original procedure for calculating the two-center integrals with these orbitals is proposed. As a first test of the approach developed here, calculations of the charge-transfer and ionization cross sections for the H(1s)-proton collisions at proton energies from 1 to 100 keV are performed. The obtained results are compared with related experimental and other theoretical data. To investigate the role of the relativistic effects, the charge-transfer cross sections in collisions of Ne9+(1s)-Ne10+ (at energies from 0.1 to 10 MeV/u) and U91+(1s)-U92+ (at energies from 6 to 10 MeV/u) are calculated for both relativistic and nonrelativistic cases.
Item Description:Gesehen am 26.01.2024
Physical Description:Online Resource
ISSN:1094-1622
DOI:10.1103/PhysRevA.82.042701

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