Semiclassical complex angular momentum theory and Pade reconstruction for resonances, rainbows, and reaction thresholds

Journal Article · Wed Sep 01 00:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.032710· OSTI ID:20646059

Sokolovski, D ^[1]; Msezane, A Z ^[2]

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1. School of Mathematics and Physics, Queen's University of Belfast, Belfast, BT7 1NN (United Kingdom)
2. Department of Physics and Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta, Georgia 30314 (United States)

A semiclassical complex angular momentum theory, used to analyze atom-diatom reactive angular distributions, is applied to several well-known potential (one-particle) problems. Examples include resonance scattering, rainbow scattering, and the Eckart threshold model. Pade reconstruction of the corresponding matrix elements from the values at physical (integral) angular momenta and properties of the Pade approximants are discussed in detail.

• OSTI ID: 20646059
• Journal Information: Physical Review. A, Vol. 70, Issue 3; Other Information: DOI: 10.1103/PhysRevA.70.032710; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR DISTRIBUTION
ANGULAR MOMENTUM
ATOM-MOLECULE COLLISIONS
ATOMS
DIATOMS
MATRIX ELEMENTS
POTENTIALS
REACTION KINETICS
RESCATTERING
RESONANCE
RESONANCE SCATTERING
SEMICLASSICAL APPROXIMATION