{ital S}-matrix analysis of heavy-ion elastic scattering
- Departamento de Fisica Nuclear, Laboratorio do Pelletron, Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66318, 05389-970 - Sao Paulo, SP, (Brasil)
A procedure to minimize {chi}{sup 2} is described which explores the fact that the {chi}{sup 2} distribution is of the fourth degree in the {ital S}-matrix elements. The fact that all three roots of the scale parameter for the minimum of {chi}{sup 2} in its gradient direction are algebraically determined gives the present procedure some global features that previous methods did not contemplate. The automatic search procedure also preserves the unitary bound constraint of the {ital S}-matrix at every step. When the search in the gradient direction slows down, the procedure reverts to the traditional quadratic approximation with zero-order regularization. The method is applied to the elastic scattering of the {sup 12}C+{sup 16}O reaction near the Coulomb barrier. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 288805
- Journal Information:
- Physical Review, C, Vol. 54, Issue 2; Other Information: PBD: Aug 1996
- Country of Publication:
- United States
- Language:
- English
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