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Ambiguities in strong absorption S-functions and corresponding potentials for heavy ion collisions

Technical Report:

Abstract

A semiclassical (WKB) method within fixed energy inverse scattering theory has been used to analyse the differential cross section from the elastic scattering of 1449 MeV{sup 12}C ions off of {sup 208}Pb. Excellent, statistically significant, fits to the experimental data have been found using a McIntyre form for the scattering function but with diverse sets of parameter values. Inversion of those scattering functions resulted in interaction potentials for this system that are also quite diverse. In addition, conventional optical model potentials have been obtained with which direct solution of the Schroedinger equations result in similar excellent fits to the data. It is shown that these large ambiguities in the potentials are due, in the main, to the limited angular range of the cross-section data and although the corresponding cross-section shapes beyond the measured scattering angle range vary over many orders of magnitude, it is unlikely that experiments can be made sensitive enough to select from among them because those cross sections are so small. 23 refs., 3 tabs., 6 figs.
Authors:
Steward, C; Fiedeldey, H; [1]  Amos, K; Allen, L J [2] 
  1. University of South Africa (UNISA), Pretoria (South Africa). Dept. of Physics
  2. Melbourne Univ., Parkville, VIC (Australia). School of Physics
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
UM-P-94/38
Reference Number:
SCA: 663450; 663520; PA: AIX-26:018311; EDB-95:032656; SN: 95001330160
Resource Relation:
Other Information: PBD: [1994]
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; INVERSE SCATTERING PROBLEM; WKB APPROXIMATION; LEAD 208 TARGET; HEAVY ION REACTIONS; CARBON 12; DIFFERENTIAL CROSS SECTIONS; ELASTIC SCATTERING; EXCITATION FUNCTIONS; EXPERIMENTAL DATA; KEV RANGE 01-10; NUCLEAR POTENTIAL; OPTICAL MODELS; PHASE SHIFT; SCHROEDINGER EQUATION; 663450; 663520; HEAVY-ION-INDUCED REACTIONS AND SCATTERING; A = 6-19
OSTI ID:
10113811
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616428; TRN: AU9414230018311
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
23 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Steward, C, Fiedeldey, H, Amos, K, and Allen, L J. Ambiguities in strong absorption S-functions and corresponding potentials for heavy ion collisions. Australia: N. p., 1994. Web.
Steward, C, Fiedeldey, H, Amos, K, & Allen, L J. Ambiguities in strong absorption S-functions and corresponding potentials for heavy ion collisions. Australia.
Steward, C, Fiedeldey, H, Amos, K, and Allen, L J. 1994. "Ambiguities in strong absorption S-functions and corresponding potentials for heavy ion collisions." Australia.
@misc{etde_10113811,
title = {Ambiguities in strong absorption S-functions and corresponding potentials for heavy ion collisions}
author = {Steward, C, Fiedeldey, H, Amos, K, and Allen, L J}
abstractNote = {A semiclassical (WKB) method within fixed energy inverse scattering theory has been used to analyse the differential cross section from the elastic scattering of 1449 MeV{sup 12}C ions off of {sup 208}Pb. Excellent, statistically significant, fits to the experimental data have been found using a McIntyre form for the scattering function but with diverse sets of parameter values. Inversion of those scattering functions resulted in interaction potentials for this system that are also quite diverse. In addition, conventional optical model potentials have been obtained with which direct solution of the Schroedinger equations result in similar excellent fits to the data. It is shown that these large ambiguities in the potentials are due, in the main, to the limited angular range of the cross-section data and although the corresponding cross-section shapes beyond the measured scattering angle range vary over many orders of magnitude, it is unlikely that experiments can be made sensitive enough to select from among them because those cross sections are so small. 23 refs., 3 tabs., 6 figs.}
place = {Australia}
year = {1994}
month = {Dec}
}