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Title: Examination of a properly deformed folding potential'' for the analysis of nuclear inelastic scattering and comparison with true folded potentials

Abstract

A series of recent papers has introduced a properly deformed folding potential'' and applied it to the analysis of inelastic alpha-particle scattering from nuclei. We examine this procedure and find that it is no more appropriate for the folding model than other potential deformation prescriptions. To first order in the deformation for rotors, or exactly for harmonic vibrators, the procedure is equivalent to the uniform radial strain model of Onley [ital et] [ital al]. In common with other deformed potential models, it provides a transition potential which is not uniquely related to an underlying transition density. Transition moments extracted from measurements using deformed optical potentials are thus subject to uncontrolled uncertainty. We recommend that, instead, explicit folding be used to generate transition potentials. Although a choice of transition density has to be made, its relation to the transition potential, and hence to measurements, is then unambiguous. The octupole excitation of [sup 208]Pb by alpha particles of 139 MeV is taken as an illustrative example.

Authors:
 [1]
  1. Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373 (United States)
Publication Date:
OSTI Identifier:
7283490
DOE Contract Number:  
AC05-84OR21400
Resource Type:
Journal Article
Journal Name:
Physical Review, C (Nuclear Physics); (United States)
Additional Journal Information:
Journal Volume: 50:1; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALPHA REACTIONS; INELASTIC SCATTERING; OPTICAL MODELS; LEAD 208 TARGET; POTENTIALS; DEFORMATION; DIRECT REACTIONS; FOLDING MODEL; MEV RANGE 100-1000; CHARGED-PARTICLE REACTIONS; ENERGY RANGE; MATHEMATICAL MODELS; MEV RANGE; NUCLEAR MODELS; NUCLEAR REACTIONS; SCATTERING; TARGETS; 663440* - D-, T-, & He-induced Reactions & Scattering- (1992-); 663580 - Nuclear Mass Ranges- A=190-219- (1992-); 663300 - Nuclear Reactions & Scattering, General- (1992-)

Citation Formats

Satchler, G R. Examination of a properly deformed folding potential'' for the analysis of nuclear inelastic scattering and comparison with true folded potentials. United States: N. p., 1994. Web. doi:10.1103/PhysRevC.50.317.
Satchler, G R. Examination of a properly deformed folding potential'' for the analysis of nuclear inelastic scattering and comparison with true folded potentials. United States. doi:10.1103/PhysRevC.50.317.
Satchler, G R. Fri . "Examination of a properly deformed folding potential'' for the analysis of nuclear inelastic scattering and comparison with true folded potentials". United States. doi:10.1103/PhysRevC.50.317.
@article{osti_7283490,
title = {Examination of a properly deformed folding potential'' for the analysis of nuclear inelastic scattering and comparison with true folded potentials},
author = {Satchler, G R},
abstractNote = {A series of recent papers has introduced a properly deformed folding potential'' and applied it to the analysis of inelastic alpha-particle scattering from nuclei. We examine this procedure and find that it is no more appropriate for the folding model than other potential deformation prescriptions. To first order in the deformation for rotors, or exactly for harmonic vibrators, the procedure is equivalent to the uniform radial strain model of Onley [ital et] [ital al]. In common with other deformed potential models, it provides a transition potential which is not uniquely related to an underlying transition density. Transition moments extracted from measurements using deformed optical potentials are thus subject to uncontrolled uncertainty. We recommend that, instead, explicit folding be used to generate transition potentials. Although a choice of transition density has to be made, its relation to the transition potential, and hence to measurements, is then unambiguous. The octupole excitation of [sup 208]Pb by alpha particles of 139 MeV is taken as an illustrative example.},
doi = {10.1103/PhysRevC.50.317},
journal = {Physical Review, C (Nuclear Physics); (United States)},
issn = {0556-2813},
number = ,
volume = 50:1,
place = {United States},
year = {1994},
month = {7}
}