Relativistic calculations of the charge-transfer probabilities and cross sections for low-energy collisions of H-like ions with bare nuclei

Abstract

A new method for solving the time-dependent two-center Dirac equation is developed. The time-dependent Dirac wave function is represented as a sum of atomic-like Dirac-Sturm orbitals, localized at the ions. The atomic orbitals are obtained by solving numerically the finite-difference one-center Dirac and Dirac-Sturm equations with the potential which is the sum of the exact reference-nucleus potential and a monopole-approximation potential from the other nucleus. An original procedure to calculate the two-center integrals with these orbitals is proposed. The approach is tested by calculations of the charge transfer and ionization cross sections for the H(1s)--proton collisions at proton energies from 1 keV to 100 keV. The obtained results are compared with related experimental and other theoretical data. To investigate the role of the relativistic effects, the charge transfer cross sections for the Ne^{9+}(1s)--Ne^{10+} (at energies from 0.1 to 10 MeV/u) and U^{91+}(1s)--U^{92+} (at energies from 6 to 10 MeV/u) collisions are calculated in both relativistic and nonrelativistic cases.

39 pages, 6 tables, 7 figures

References in corpus (3)

• Nuclear deformation effect on the binding energies in heavy ions
• Magnetic-dipole transition probabilities in B-like and Be-like ions
• Calculation of electron-positron production in supercritical uranium-uranium collisions near the Coulomb barrier

Cited by in corpus (23)

• A Michelson-Morley Test of Lorentz Symmetry for Electrons
• Heavy-Ion Storage Rings and Their Use in Precision Experiments with Highly Charged Ions
• How to observe the vacuum decay in low-energy heavy-ion collisions
• How to access QED at supercritical Coulomb field
• Electron-positron pair creation in low-energy collisions of heavy bare nuclei
• Relativistic calculations of the K-K charge transfer and K-vacancy production probabilities in low-energy ion-atom collisions
• A development of the CI + all-order method and application to the parity-nonconserving amplitude and other properties of Pb
• Solution of two-center time-dependent Dirac equation in spherical coordinates: Application of the multipole expansion of the electron-nuclei interaction
• Relativistic calculations of the ground state energies and the critical distances for one-electron homonuclear quasi-molecules
• Relativistic polarizabilities with the Lagrange-mesh method
• Electron-positron pair production in slow collisions of heavy nuclei beyond the monopole approximation
• Relativistic calculations of the x-ray emission following the Xe-Bi${}^{83+}$ collision
• Relativistic two-photon decay rates with the Lagrange-mesh method
• Relativistic calculations of differential ionization cross sections: Application to antiproton-hydrogen collisions
• Estimating the radiative part of QED effects in superheavy nuclear quasimolecules
• Single and double $K$-shell vacancy production in slow Xe${}^{\text{54+,53+}}$-Xe collisions
• Relativistic calculations of charge transfer probabilities in U92+ - U91+(1s) collisions using the basis set of cubic Hermite splines
• Finite-Basis-Set Approach to the Two-Center Heteronuclear \\ Dirac Problem
• K-shell ionization of heavy hydrogen-like ions
• Relativistic calculations of the U91+(1s)-U92+ collision using the finite basis set of cubic Hermite splines on a lattice in coordinate space
• The Magnetic Toroidal Sector as A broad-band Electron-Positron Pair Spectrometer I. Lepton Trajectories
• Improvement of the Basis for the Solution of the Dirac Equation in Cassini Coordinates
• The possibility to experimentally determine the structure of a fermionic vacuum in quantum electrodynamics