Gaussian expansions in distorted-wave—Born-approximation calculations

Journal Article · Wed Oct 01 04:00:00 EDT 1975 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.12.1260· OSTI ID:4185160

Payne, G. L.; Carlson, R. R.

The use of Gaussian expansions for the bound-state functions in distorted-wave Born-approximation calculations is discussed. The use of these expansions leads to an analytic expression for the form factor which can be used to simplify the numerical evaluation of the matrix element. In addition, the Gaussian functions are useful when studying the structure of the form factor. In particular, the validity of the ''no-recoil'' approximation is discussed, and a semiclassical interpretation is presented. A computer program (gauss) using the Gaussian expansions has been developed and used to evaluate the cross sections of some previously studied reactions. Comparisons of the results with those of other programs are given.

• Research Organization: Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-004479
• OSTI ID: 4185160
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 12; ISSN 0556-2813; ISSN PRVCAN
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*CARBON 12
*DWBA-- WAVE FUNCTIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR DISTRIBUTION
DIFFERENTIAL CROSS SECTIONS
G CODES
GAUSS FUNCTION
LITHIUM 7 REACTIONS-- TRITONS
MATRIX ELEMENTS
OXYGEN 16
PARTIAL WAVES
RECOILS
SCATTERING AMPLITUDES
SERIES EXPANSION DEUTERONS-- LITHIUM 6 REACTIONS