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arXiv · 1307.6175

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

G. B. Deyneka·I. A. Maltsev·I. I. Tupitsyn·V. M. Shabaev·A. I. Bondarev·Y. S. Kozhedub·G. Plunien·Th. Stoehlker
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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 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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G. B. Deyneka, I. A. Maltsev, I. I. Tupitsyn, V. M. Shabaev, A. I. Bondarev, Y. S. Kozhedub, G. Plunien, Th. Stoehlker. 2014-01-29. Relativistic calculations of the U91+(1s)-U92+ collision using the finite basis set of cubic Hermite splines on a lattice in coordinate space. https://doi.org/10.1140/epjd%2Fe2013-40441-6

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