Photoionization of sodium atoms and electron scattering from ionized sodium

Journal Article · Fri Feb 01 04:00:00 EST 1985 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.31.759· OSTI ID:5922569

Dasgupta, A; Bhatia, A K

The polarized-orbital method (originally developed by A. Temkin, Phys. Rev. 107, 1004 (1957)) is used to calculate the photoionization cross sections of sodium atoms, from threshold to about 60 eV. The polarized orbitals are calculated from Sternheimer's equation. The polarizability of Na/sup +/ is found to be 1.0914a/sub 0//sup 3/, which is very close to the experimental value. The scattering equation is solved in the exchange, the exchange-adiabatic, and the polarized-orbital approximations. For consistency, both the bound-state and the continuum-state wave functions are obtained in the same approximation. In the calculation of these wave functions, all perturbed orbitals are taken into account in the direct polarization potential and only the perturbation of the very tightly bound 1s orbital is neglected in the exchange-polarization terms. The length form for the photoionization-cross-section formula is used and all terms are included in the photoionization matrix element. Our results are in good agreement with the many-body calculations of Chang and Kelly. However, no calculation to date, including this one, agrees well with experiment except at low energies. The phase shifts thus obtained for s, p, and d waves for the e+Na/sup +/ system are used to calculate the differential cross sections; the phase shifts, as well as these cross sections, agree very well with other available results.

• Research Organization: Atomic Physics Office, Laboratory for Astronomy and Solar Physics, NASA, Goddard Space Flight Center, Greenbelt, Maryland 20771
• OSTI ID: 5922569
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 31:2; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ALKALI METALS
CHARGED PARTICLES
COLLISIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
ELECTRICAL PROPERTIES
ELECTRON COLLISIONS
ELECTRON-ION COLLISIONS
ELEMENTS
FUNCTIONS
ION COLLISIONS
IONIZATION
IONS
METALS
PHOTOIONIZATION
PHYSICAL PROPERTIES
POLARIZABILITY
SCATTERING
SODIUM
SODIUM IONS
WAVE FUNCTIONS