I. A. Maltsev,
G. B. Deyneka,
I. I. Tupitsyn,
V. M. Shabaev,
Y. S. Kozhedub,
G. Plunien,
and T. Stöhlker
Relativistic calculations of charge transfer probabilities in U⁹²⁺–U⁹¹⁺(1s) collisions using the basis set of cubic Hermite splines
Phys. Scripta, 2013 :014056 (September 2013)
Relativistic calculations of charge transfer probabilities in U⁹²⁺–U⁹¹⁺(1s) collisions using the basis set of cubic Hermite splines
Phys. Scripta, 2013 :014056 (September 2013)
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 the rotating reference frame. The collision of U⁹²⁺ (as a projectile) and U⁹¹⁺ (as a target) is considered at energy E_(lab) = 6 MeV u^(−1) . The charge transfer probabilities are calculated for different values of the impact parameter. The results obtained are compared with previous calculations (Tupitsyn et al 2010 Phys. Rev. A 82 042701), where a method based on atomic-like Dirac–Sturm orbitals was employed. This work can provide a new tool for the investigation of quantum electrodynamics effects in heavy-ion collisions near the supercritical regime.