Electric-dipole matrix-element formulas in hyperspherical coordinates with applications to H and He

Journal Article · Sat Feb 01 04:00:00 EST 1986 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.33.1000· OSTI ID:6224913

Park, C; Starace, A F; Tan, J; Lin, C

Theoretical formulas for the length, velocity, and acceleration forms of the electric-dipole matrix element within the adiabatic hyperspherical coordinate representation are presented. The length and acceleration formulas are used to calculate the photoionization cross section for He up to 1.0 a.u. above threshold and the photodetachment cross section for H up to 0.35 a.u. above threshold. Length- and acceleration-form results for the dipole oscillator strengths for the discrete He transitions, 1sns( S/sup e/) 1smp( P/sup o/), where n = 1, 2, and 3 and m = 2, 3, and 4, are also presented. The accuracy of the length- and acceleration-form adiabatic hyperspherical coordinate approximation results is discussed.

• Research Organization: Department of Physics and Astronomy, The University of Nebraska, Lincoln, Nebraska 68588-0111
• OSTI ID: 6224913
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 33:2; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC PROCESSES
ANIONS
ATOMS
CHARGED PARTICLES
COLLISIONS
COORDINATES
CROSS SECTIONS
DIPOLES
ELECTRIC DIPOLES
ELECTRON DETACHMENT
ELECTRONIC STRUCTURE
ELEMENTS
ENERGY-LEVEL TRANSITIONS
FLUIDS
GASES
HELIUM
HYDROGEN IONS
HYDROGEN IONS 1 MINUS
ION COLLISIONS
IONIZATION
IONS
MATRIX ELEMENTS
MULTIPOLES
NONMETALS
PHOTOIONIZATION
PHOTON COLLISIONS
PHOTON-ION COLLISIONS
RARE GASES