Hyperspherical coordinate theory of two electron atomic processes. Progress report, 1 August 1982-31 July 1985

Technical Report · Tue Jan 01 04:00:00 EST 1985

OSTI ID:6047479

Macek, J; Starace, A F

The aim of this project is to establish the ground work for state-of-the-art calculations employing hyperspherical coordinates. Such calculations require the solution of a number of current difficulties in treating different regions of hyperspherical coordinate space. Applications have also been made to specific atomic collision processes in those cases where a hyperspherical coordinate point of view helps to understand the underlying physical mechanisms. Work on the following seven specific problems has been completed during the 3 year contract period: (1) Representation of two-electron wave functions for /sup 1/S states in terms of a Fock expansion has been accomplished and a procedure for matching these series solutions onto an adiabatic hyperspherical representation has been developed. (2) In regions of configuration space where one electron is much further from the nucleus than the other, the R-matrix has been shown to be asymmetric. (3) Also in this region, the transformation of the coupled adiabatic hyperspherical channels to independent particle coordinates has been derived. (4) A study of the Wannier threshold law in Jacobi coordinates has been completed. (5) The electron doubly differential cross section of 0.5 MeV H/sup -/-He detachment collisions has been calculated. (6) The hyperspherical coordinate description of doubly excited states has been compared with other correlated models. (7) The length, velocity, and acceleration formulas for the electric dipole matrix element in hyperspherical coordinates have been derived. In addition, a review of the use of hyperspherical coordinate methods for atomic photoionization processes has been prepared.

• Research Organization: Nebraska Univ., Lincoln (USA)
• DOE Contract Number: AC02-82ER12081
• OSTI ID: 6047479
• Report Number(s): DOE/ER/12081-8; ON: DE85007289
• Country of Publication: United States
• Language: English

Related Subjects

640300* -- Atomic
Molecular & Chemical Physics
74 ATOMIC AND MOLECULAR PHYSICS
ANIONS
ATOM COLLISIONS
ATOMS
CHARGED PARTICLES
COLLISIONS
ELECTRON DETACHMENT
ELECTRONIC STRUCTURE
ELEMENTS
ENERGY LEVELS
ENERGY RANGE
FLUIDS
FUNCTIONS
GASES
HELIUM
HYDROGEN IONS
HYDROGEN IONS 1 MINUS
ION COLLISIONS
ION-ATOM COLLISIONS
IONIZATION
IONS
MATRICES
MEV RANGE
NONMETALS
PHOTOIONIZATION
R MATRIX
RARE GASES
S STATES
WAVE FUNCTIONS