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Relativistic calculations of the U91+(1s)–U92+ collision using the finite basis set of cubic Hermite splines on a lattice in coordinate space

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Abstract

A new method for solving the time-dependent two-center Dirac equation is developed. The approach is based on the using of the finite basis of cubic Hermite splines on a three-dimensional lattice in the coordinate space. The relativistic calculations of the excitation and charge-transfer probabilities in the low-energy U91 +(1s)–U92+ collisions in two and three dimensional approaches are performed. The obtained results are compared with our previous calculations employing the Dirac-Sturm basis sets [I.I. Tupitsyn et al., Phys. Rev. A 82, 042701 (2010)]. The role of the negative-energy Dirac spectrum is investigated within the monopole approximation.

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Authors and Affiliations

  1. St. Petersburg State University of Information Technologies, Mechanics and Optics, Kronverk av. 49, 197101, St. Petersburg, Russia

    Gennadiy B. Deyneka

  2. Department of Physics, St. Petersburg State University, Ulianovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia

    Ilia A. Maltsev, Ilya I. Tupitsyn, Vladimir M. Shabaev, Andrey I. Bondarev & Yury S. Kozhedub

  3. Institut für Theoretische Physik, Technische Universität Dresden, Mommsenstraße 13, 01062, Dresden, Germany

    Günter Plunien

  4. GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, 64291, Darmstadt, Germany

    Thomas Stöhlker

  5. Helmholtz-Institute Jena, 07743, Jena, Germany

    Thomas Stöhlker

  6. Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität, 07743, Jena, Germany

    Thomas Stöhlker

Authors
  1. Gennadiy B. Deyneka
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  2. Ilia A. Maltsev
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  3. Ilya I. Tupitsyn
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  4. Vladimir M. Shabaev
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  5. Andrey I. Bondarev
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  6. Yury S. Kozhedub
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  7. Günter Plunien
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  8. Thomas Stöhlker
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Correspondence to Ilia A. Maltsev.

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Deyneka, G.B., Maltsev, I.A., Tupitsyn, I.I. et al. Relativistic calculations of the U91+(1s)–U92+ collision using the finite basis set of cubic Hermite splines on a lattice in coordinate space. Eur. Phys. J. D 67, 258 (2013). https://doi.org/10.1140/epjd/e2013-40441-6

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  • DOI: https://doi.org/10.1140/epjd/e2013-40441-6

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