Dielectronic recombination of positive ions—I. A generalized cascade theory

Gau, J.N.; Hahn, Yukap

doi:10.1016/0022-4073(80)90001-1

Cited by 63 publications

(7 citation statements)

References 23 publications

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“…(9) may also be derived using the projection operator technique introduced by Feshbach [11]. The electron continuum projection operator is given by P, the resonance state projection operator is given by Q, and following Gau and Hahn [4] the photon continuum projection operator is given by B. In keeping with a nonperturbative close-coupling theory that includes a structured continuum, we subsume Q space into P space.…”

Section: B Connection To Projection-operator Methodsmentioning

confidence: 99%

Inclusion of radiation damping in the close-coupling equations for electron-atom scattering

et al. 1995

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The close-coupling approximation for electron-atom scattering is extended to include the eKect of one-photon radiation damping at a level nonperturbative in the wave function. The complex potential is derived and introduced directly into the set of integro-di8'erential equations used to calculate the S matrix. The formulation is ideal for inelastic scattering and photoionization with radiation damping and can be used to calculate photorecombination cross sections. The numerical solution of the resulting difI'erential equation is accomplished through a combination of B-matrix, perturbation theory, and analytic techniques. Some of the implications of this method are discussed. The connections to previous theoretical approaches are discussed.PACS number(s): 34.80.Kw, 31.30.Jv, 31.10.+z ing on the wave function are included in three different ways: (i) the change in the Hamiltonian due to type-I transitions (i.e., radiative decay of the core state) is included analytically by changing the core energy &om E,~E,il', /2, where I', is the total radiative decay rate; (ii) the change in the wave function due to type-IIS transitions (see Sec. VI) is included through a numerical procedure (the B-matrix method); and (iii) the type-III transitions (see Sec. VI) are included perturbatively in unphysical wave functions (unphysical wave functions are solutions of the Schrodinger or Dirac equation that do not have the correct boundary conditions at r~0 or r M oo); the physical wave functions are constructed from a linear superposition of the unphysical solutions [9] and include nonperturbative effects.

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Section: B Connection To Projection-operator Methodsmentioning

confidence: 99%

Inclusion of radiation damping in the close-coupling equations for electron-atom scattering

et al. 1995

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“…(d P i), A C (d P i), and the radiative decay rate A P (d P f ) are computed numerically with the nonrelativistic, single-configuration Hartree-Fock code [6]. The continuum wave function is calculated by a distorted wave method [7] with the Hartree-Fock direct and explicit nonlocal exchange potentials. Because of the strong configuration mixing required for the ions of interest here, and the large number of angular momentum coupled states involved in the intermediate states (d), A ?…”

Section: Introductionmentioning

confidence: 99%

Analysis of low energy X-ray and excitation spectra of Ba 35+

McLaughlin

Hahn

1996

Z Phys D - Atoms, Molecules and Clusters

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We present a theoretical analysis of the low energy X-ray spectra of the Ba>#e\ system, in the energy region below 2 keV, for comparison with future experiments. In a recent study carried out at the National Institute of Standards and Technology, scandium-like Ba> ions were created, trapped and excited using an Electron Beam Ion Trap and an electron beam with kinetic energy of 2.35 keV. The theory agrees well with experiment for X-ray energies in the region 2-5 keV. The experiment also gives evidence suggestive of a large cross section for X-ray production in the region below 2.0 keV. We include the contribution to the X-ray spectra of collisional excitation followed by fluorescence decay, radiative cascade processes, M-shell dielectronic recombination, Bremsstrahlung, and a new off-shell, quasi-resonant continuum dielectronic recombination process. We find that excitation fluorescence is the dominant process, with smaller contributions from the other radiative cascade processes as well as a continuous Bremsstrahlung background.

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“…Together these form the basis of the now standard approach 15 to production-mode DR calculations, (b) The Kroll-Watson theorem 16 is invoked. This simplifies calculation of the probabilities of the two most important parts of the LADR process, which are the laser-assisted autoionization probability (A a ) and/or its inverse the laser-assisted capture-excitation probability (K a ), and the intermediate-state photoionization probability C4 P hot)-On the basis of a simple extension of the Feshbach formulation of DR, 15 incorporating the IRA, and in a configuration-averaged approximation (AMA), 15 …”

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confidence: 99%

Laser-assisted dielectronic recombination

LaGattuta

1988

Phys. Rev. Lett.

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The effects of a laser beam on the dielectronic recombination (DR) of H-like ions with continuum electrons was investigated for a single-mode, circularly polarized laser with irradiance 10 12 -10 17 W/cm 2 and photon energy 0.1-5.0 eV. Laser-induced increases in the value of the DR rate coefficient, up to -100x, were found for recombinations via the lowest-lying intermediate states, over a narrow range of the ionic charge Z, centered near Z -5. Within this range of Z, the DR rate coefficient summed over all accessible intermediate states was increased by a factor of -10 over its zero-field value.

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Dielectronic recombination of positive ions—I. A generalized cascade theory

Cited by 63 publications

References 23 publications

Inclusion of radiation damping in the close-coupling equations for electron-atom scattering

Inclusion of radiation damping in the close-coupling equations for electron-atom scattering

Analysis of low energy X-ray and excitation spectra of Ba 35+

Laser-assisted dielectronic recombination

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