Classical model of electron capture from oriented sodium atoms

Lewartowski, E; Courbin, C

doi:10.1088/0953-4075/25/3/003

Cited by 21 publications

(12 citation statements)

References 18 publications

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“…is the reduced mass of the initial projectile-target configuration. We evaluate the three-body dynamics by means of a classical trajectory Monte Carlo (CTMC) method that is similar to those used in previous works (Lewartowski and Courbin 1992) and by other authors (Abrines and Percival 1966, Olson and Salop 1977, Cohen 1982, Reinhold and Olson 1989). Hamilton's canonical equations in the centre-of-mass reference system are solved numerically for a large number of trajectories by means of a modified middle-point code with adaptive step-size control (Bulirsh and Stoer 1966).…”

Section: Computational Proceduresmentioning

confidence: 99%

“…The square of the impact parameter is randomly chosen with uniform density within a range 0 b 2 b 2 max beyond which ionization is negligible. The equations of motion are integrated until the recoil-ion momentum converges and the excitation, charge-transfer and ionization channels can be neatly separated according to energy criteria (Lewartowski and Courbin 1992).…”

Section: Computational Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

Classical description of threshold effects in ion-atom ionization collisions

Fiol

Courbin²,

Rodríguez

et al. 2000

J. Phys. B: At. Mol. Opt. Phys.

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We employ a three-body classical trajectory Monte Carlo (CTMC) method to calculate the recoil-ion momentum distribution at its kinematic threshold in ion-atom ionization collisions. We analyse how this threshold is intertwined by dynamical constraints to the electron capture to the continuum cusp in the electron double differential cross section. We compare these calculations with those from a full quantum-mechanical description and explore how these structures depend on the interactions among the three particles in the final state.

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Section: Computational Proceduresmentioning

confidence: 99%

Section: Computational Proceduresmentioning

confidence: 99%

Classical description of threshold effects in ion-atom ionization collisions

Fiol

Courbin²,

Rodríguez

et al. 2000

J. Phys. B: At. Mol. Opt. Phys.

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“…Theoretical studies have been carried out for the H+-Na(3p) system using a molecular basis [10,11] and using an atomic basis [12,13]. Recently Classical Trajectory Monte-Carlo method has been developed to study the orientation effects for the H +-Na (3 p) collision [ 14,15 ]. We have performed new calculations for the Li +-Na system with a large molecular basis [16] such that we can now compare the two H +-Na and Li +-Na systems.…”

Section: Introductionmentioning

confidence: 99%

Orientation and alignment in charge exchange processes involving sodium atoms studied by semi-classical molecular theory

Courbin¹,

Machholm²,

Lewartowski³

1994

Z Phys D - Atoms, Molecules and Clusters

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Abstract. The semi-classical molecular model is applied to study the charge exchange processes in the H +-Na 3 p and Li+-Na 3p systems in the keV energy range. The dependence of the charge exchange on the orientation and the alignment of the initial or final state is obtained for the transition probabilities and for the differential cross sections. The 14 state present model for the H+-Na system is in good agreement with the experimental differential cross sections. The alignment is explained by orientation occurring in the transfer region. The cross sections predicted with a 28 state model for Li+-Na exhibit similar behaviour as for H+-Na.

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“…Simpler calculations, in the framework of the multichanel Landau-Zener model, or in the two-states close coupling approximation, have been able to account for general trends and to establish some useful scaling laws. Complete classical treatments have also been able in many cases to produce cross sections in surprisingly good agreement with experimental values [3,18,19].…”

Section: Introductionmentioning

confidence: 70%

Ab initiocalculation of the asymmetric electron transfer cross section in the low velocity collision

Charles

1998

J. Phys. B: At. Mol. Opt. Phys.

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The (HeLi) 4+ one-electron molecule has been studied and the electronic energies of the states n = 1-5 have been determined as a function of the distance R between the two nuclei, in the Born-Oppenheimer approximation. The radial and rotational matrix elements for electron transfer in the Li 3+ + He + collision have been computed and the system of 35 coupled equations describing the collision in the impact parameter approximation has been solved for an initial system composed of an incident Li 3+ ion and a He + target in the ground state. The signs of the different terms appearing in the radial matrix elements have been carefully re-examined and a clear resonance induced by the avoided crossing of the 5dσ and 4pσ states has been proven. The Li 3+ + He + → Li 2+ + He 2+ total electron transfer cross section is found to lie between those of the adjacent symmetric systems He 2+ + He + and Li 3+ + Li 2+ and, in this respect, may be called 'quasisymmetric transfer'.

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Classical model of electron capture from oriented sodium atoms

Cited by 21 publications

References 18 publications

Classical description of threshold effects in ion-atom ionization collisions

Classical description of threshold effects in ion-atom ionization collisions

Orientation and alignment in charge exchange processes involving sodium atoms studied by semi-classical molecular theory

Ab initiocalculation of the asymmetric electron transfer cross section in the low velocity collision

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