Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications

Journal Article · Sun Dec 31 23:00:00 EST 1978 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523955· OSTI ID:6501164

Garibotti, C R; Grinstein, F F

The numerical application of a sequence transformation method proposed in a previous work is considered for the calculation of differential cross-sections corresponding to processes where long range interactions are important. The advantages of the approach, as a summation algorithm for the partial wave expansion of the scattering amplitude, are shown for the cases of scattering by the Lennard--Jones, repulsive inverse square, and Coulombic potentials, and for the scattering of electrons by helium in the intermediate energy range. Furthermore, the method proves to be a regularizing procedure for divergent and oscillating partial wave expansions.

• Research Organization: Instituto de Fisica Teorica, Rua Pamplona 145, 01405, Sao Paulo, Brasil
• OSTI ID: 6501164
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 20:1; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ALGORITHMS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
ATOM COLLISIONS
BASIC INTERACTIONS
COLLISIONS
COULOMB SCATTERING
CROSS SECTIONS
CRYOGENIC FLUIDS
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ELEMENTS
FLUIDS
HELIUM
INTERACTIONS
LENNARD-JONES POTENTIAL
MATHEMATICAL LOGIC
NONMETALS
PADE APPROXIMATION
PARTIAL WAVES
POTENTIAL SCATTERING
RARE GASES
SCATTERING
SCATTERING AMPLITUDES
SERIES EXPANSION