Application of the J-matrix method to Faddeev-Merkuriev equations for (e,2e) reactions: Beyond pseudostates

Journal Article · Thu Feb 15 00:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.022718· OSTI ID:20982132

Zaytsev, S A; Knyr, V A; Popov, Yu V; Lahmam-Bennani, A ^[1]

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1. Pacific National University, Khabarovsk, 680035 (Russian Federation)

A version of the J-matrix method for solving numerically the three-body Faddeev-Merkuriev differential equations is proposed. This version allows one to take into account the full spectrum of the two-body Coulomb subsystem. As a result, a discrete analog of the Lippmann-Schwinger equation is obtained which allows one to interpret correctly the three-body wave function in two-body domains. The scheme is applied to calculations of the fully resolved absolute differential cross sections for the He(e,2e)He{sup +} reactions leaving the residual ion in an excited state, at small energy and momentum transfer. The results are in good agreement with the experiment both in shape and in absolute value.

• OSTI ID: 20982132
• Journal Information: Physical Review. A, Vol. 75, Issue 2; Other Information: DOI: 10.1103/PhysRevA.75.022718; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
DIFFERENTIAL CROSS SECTIONS
DIFFERENTIAL EQUATIONS
ELECTRON-ATOM COLLISIONS
ELECTRONS
EXCITATION
EXCITED STATES
FADDEEV EQUATIONS
HELIUM
HELIUM IONS
IONIZATION
LIPPMANN-SCHWINGER EQUATION
MATRICES
MOMENTUM TRANSFER
SPECTRA
THREE-BODY PROBLEM
TWO-BODY PROBLEM
WAVE FUNCTIONS