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Complex angular momentum approximation to hard-core scatteringThe complex angular momentum (CAM) approximation for nonrelativistic quantum scattering by a hard sphere - a union of the recently developed CAM uniform approximation with a semiclassical WKB-like approximation valid at large angles - is shown to be remarkably accurate over the complete range of scattering angles and down to size parameters (circumference to de Broglie wavelength ratios) of order unity. The best approximations previously derivable (Fock-type) cannot reach large scattering angles where semiclassical approximations are useful; even at angles where Fock-type approximations are valid, they are typically two or more orders of magnitude less accurate than CAM. The crucial new feature responsible for the high accuracy of the CAM approximation is the treatment of large-angle diffraction associated with (1) tunneling near the edge of the scatterer, and (2) anomalous reflection.
Document ID
19910043254
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Nussenzveig, H. M.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Wiscombe, W. J.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 14, 2013
Publication Date
March 1, 1991
Publication Information
Publication: Physical Review A
Volume: 43
ISSN: 1050-2947
Subject Category
Physics (General)
Accession Number
91A27877
Distribution Limits
Public
Copyright
Other

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