Comparison of unitary and Pade sums of the perturbation series for the scattering of a spinless particle from a Yukawa potential

Journal Article · Tue Jun 01 04:00:00 EDT 1976 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.13.2028· OSTI ID:7354626

Bock, C W; Haracz, R D; Rosenthal, C M

Alternative methods for summing the Born series for a scattering process are derived and compared. These include Pade and unitary approximations of the scattering operator and their combinations. The various approximations are applied to an attractive Yukawa potential, and it is shown that most of the unitary and Pade approximations converge much more rapidly than the Born series. A comparison of the methods provides a practical test for convergence at a particular order of the perturbation theory. (AIP)

• Research Organization: Department of Physics, Philadelphia College of Textiles and Science, Philadelphia, Pennsylvania 19114
• OSTI ID: 7354626
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 13:6; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
640305 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BORN APPROXIMATION
NUCLEAR POTENTIAL
PADE APPROXIMATION
PERTURBATION THEORY
SCATTERING
UNITARITY
YUKAWA POTENTIAL