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arXiv · 1307.6880

Relativistic calculations of charge transfer probabilities in U92+ - U91+(1s) collisions using the basis set of cubic Hermite splines

I. A. Maltsev·G. B. Deyneka·I. I. Tupitsyn·V. M. Shabaev·Y. S. Kozhedub·G. Plunien·Th. Stoehlker
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Abstract

A new approach for solving the time-dependent two-center Dirac equation is presented. The method is based on using the finite basis set of cubic Hermite splines on a two-dimensional lattice. The Dirac equation is treated in rotating reference frame. The collision of U92+ (as a projectile) and U91+ (as a target) is considered at energy E_lab=6 MeV/u. The charge transfer probabilities are calculated for different values of the impact parameter. The obtained results are compared with the previous calculations [I. I. Tupitsyn et al., Phys. Rev. A 82, 042701 (2010)], where a method based on atomic-like Dirac-Sturm orbitals was employed. This work can provide a new tool for investigation of quantum electrodynamics effects in heavy-ion collisions near the supercritical regime.

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I. A. Maltsev, G. B. Deyneka, I. I. Tupitsyn, V. M. Shabaev, Y. S. Kozhedub, G. Plunien, Th. Stoehlker. 2013-07-25. Relativistic calculations of charge transfer probabilities in U92+ - U91+(1s) collisions using the basis set of cubic Hermite splines. https://doi.org/10.1088/0031-8949%2F2013%2Ft156%2F014056

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