Multichannel computation of the ground-state energies of helium-like systems within the hyperspherical coordinate method

Abrashkevich, A.G.; Gajsak, M.I.; Lend'el, V.I.; Pojda, V.Yu.; Пузынин, И.В.

doi:10.1016/0375-9601(88)90774-8

Cited by 9 publications

(1 citation statement)

References 24 publications

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“…To calculate the first j = 1, N R eigenfunctions { g ~) J ~~; = , , and corresponding eigenvalues (potential curves) Wj( R ) we solve numerically the Sturm-Liouville problem for a system of coupled ordinary differential equations with fixed boundary conditions imposed on the interval a E [0, 71/41 (Abrashkevich et al 1988a(Abrashkevich et al . 1989.…”

Section: I:i?=omentioning

confidence: 99%

Adiabatic description of resonant states in e^--H scattering by the method of extrapolation in the coupling constant

Abrashkevich¹,

Abrashkevich²,

Хіміч³

et al. 1991

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

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The analytical properties of the scattering matrix in the adiabatic formulation of the multichannel scattering problem in a three-body system are investigated as functions of the coupling constant and energy in the framework of the adiabatic hyperspherical approach. The localization and the character of pole motion in the complex coupling constant plane and a n the Riemann energy surface are studied. On this basis a method for obtaining the resonant state parameters by extrapolation in the coupling constant using Pad6 approrimants of the second type is suggested. The developed approach is applied to calculate the position and width of the 'P" shape resonance in the e--H scattering. The position E.=0.015 eV and width r,=0.012eV of the H-'P" shape resonance calculated in the simple one-channel diabatic approximation are in good agreement with other theoretical calculations.

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Section: I:i?=omentioning

confidence: 99%

Adiabatic description of resonant states in e^--H scattering by the method of extrapolation in the coupling constant

Abrashkevich¹,

Abrashkevich²,

Хіміч³

et al. 1991

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

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Multichannel Resonance Scattering of Electrons by Complex Atoms

Lengyel¹,

Navrotsky²,

Sabad³

1992

Resonance Phenomena in Electron-Atom Collisions

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HSTERM — A program to calculate potential curves and radial matrix elements for two-electron systems within the hyperspherical adiabatic approach

Abrashkevich

Shapiro

1995

Computer Physics Communications

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Multichannel computation of the ground-state energies of helium-like systems within the hyperspherical coordinate method

Cited by 9 publications

References 24 publications

Adiabatic description of resonant states in e^--H scattering by the method of extrapolation in the coupling constant

Adiabatic description of resonant states in e^--H scattering by the method of extrapolation in the coupling constant

Multichannel Resonance Scattering of Electrons by Complex Atoms

HSTERM — A program to calculate potential curves and radial matrix elements for two-electron systems within the hyperspherical adiabatic approach

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Multichannel computation of the ground-state energies of helium-like systems within the hyperspherical coordinate method

Cited by 9 publications

References 24 publications

Adiabatic description of resonant states in e--H scattering by the method of extrapolation in the coupling constant

Adiabatic description of resonant states in e--H scattering by the method of extrapolation in the coupling constant

Multichannel Resonance Scattering of Electrons by Complex Atoms

HSTERM — A program to calculate potential curves and radial matrix elements for two-electron systems within the hyperspherical adiabatic approach

Contact Info

Product

Resources

About

Adiabatic description of resonant states in e^--H scattering by the method of extrapolation in the coupling constant

Adiabatic description of resonant states in e^--H scattering by the method of extrapolation in the coupling constant