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

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.042701· OSTI ID:21450770

Tupitsyn, I I; Kozhedub, Y S; Shabaev, V M ^[1]; Deyneka, G B ^[2]; Hagmann, S; Kozhuharov, C ^[3]; Plunien, G ^[4]; Stoehlker, Th ^[3]

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1. Department of Physics, St. Petersburg State University, Ulianovskaya 1, Petrodvorets, 198504 St. Petersburg (Russian Federation)
2. St. Petersburg State University of Information Technologies, Mechanics and Optics, Kronverk av. 49, 197101 St. Petersburg (Russian Federation)
3. GSI Helmholtzzentrum fuer Schwerionenforschung GmbH, Planckstrasse 1, D-64291 Darmstadt (Germany)
4. Institut fuer Theoretische Physik, Technische Universitaet Dresden, Mommsenstrasse 13, D-01062 Dresden (Germany)

A method for solving the time-dependent two-center Dirac equation is developed. The time-dependent Dirac wave function is represented as a sum of atomiclike Dirac-Sturm orbitals, localized at the ions. The atomic orbitals are generated by solving numerically the one-center Dirac and Dirac-Sturm equations by means of a finite-difference approach with the Coulomb potential taken as the sum of the exact reference-nucleus potential and of the other nucleus within the monopole approximation. An original procedure for calculating the two-center integrals with these orbitals is proposed. As a first test of the approach developed here, calculations of the charge-transfer and ionization cross sections for the H(1s)-proton collisions at proton energies from 1 to 100 keV are performed. 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 in collisions of Ne{sup 9+}(1s)-Ne{sup 10+} (at energies from 0.1 to 10 MeV/u) and U{sup 91+}(1s)-U{sup 92+} (at energies from 6 to 10 MeV/u) are calculated for both relativistic and nonrelativistic cases.

• OSTI ID: 21450770
• Journal Information: Physical Review. A, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevA.82.042701; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
COULOMB FIELD
CROSS SECTIONS
DIRAC EQUATION
INTEGRALS
ION-ION COLLISIONS
IONIZATION
KEV RANGE
MEV RANGE
MONOPOLES
MULTICHARGED IONS
NEON IONS
POTENTIALS
PROBABILITY
PROTONS
RELATIVISTIC RANGE
TIME DEPENDENCE
URANIUM IONS
WAVE FUNCTIONS
BARYONS
CALCULATION METHODS
CHARGED PARTICLES
COLLISIONS
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD EQUATIONS
FUNCTIONS
HADRONS
ION COLLISIONS
IONS
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS