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

Journal Article · Sat Feb 01 00:00:00 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), Vol. 33:2
• Country of Publication: United States
• Language: English

Related Subjects

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