1307.6175 (G. B. Deyneka 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    [PDF]

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

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.

View original: http://arxiv.org/abs/1307.6175