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Finite-Geometry and Polarized Multiple-Scattering Corrections of Experimental Fast- Neutron Polarization Data by Means of Monte Carlo Methods

Abstract

After an introductory discussion of various methods for correction of experimental left-right ratios for polarized multiple-scattering and finite-geometry effects necessary and sufficient formulas for consistent tracking of polarization effects in successive scattering orders are derived. The simplifying assumptions are then made that the scattering is purely elastic and nuclear, and that in the description of the kinematics of the arbitrary Scattering {mu}, only one triple-parameter - the so-called spin rotation parameter {beta}{sup ({mu})} - is required. Based upon these formulas a general discussion of the importance of the correct inclusion of polarization effects in any scattering order is presented. Special attention is then paid to the question of depolarization of an already polarized beam. Subsequently, the afore-mentioned formulas are incorporated in the comprehensive Monte Carlo program MULTPOL, which has been designed so as to correctly account for finite-geometry effects in the sense that both the scattering sample and the detectors (both having cylindrical shapes) are objects of finite dimensions located at finite distances from each other and from the source of polarized fast-neutrons. A special feature of MULTPOL is the application of the method of correlated sampling for reduction of the standard deviations .of the results of the simulated experiment.  More>>
Publication Date:
May 15, 1967
Product Type:
Technical Report
Report Number:
AE-284
Resource Relation:
Other Information: 51 refs., 12 figs., 9 tabs.
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CARBON 12 TARGET; ELASTIC SCATTERING; FAST NEUTRONS; POLARIZED BEAMS; ANGULAR DISTRIBUTION; MONTE CARLO METHOD; NEUTRON REACTIONS
OSTI ID:
20956313
Research Organizations:
AB Atomenergi, Nykoeping (Sweden)
Country of Origin:
Sweden
Language:
English
Other Identifying Numbers:
TRN: SE0708746
Availability:
Commercial reproduction prohibited; OSTI as DE20956313
Submitting Site:
SWDN
Size:
76 pages
Announcement Date:
Dec 29, 2007

Citation Formats

Aspelund, O, and Gustafsson, B. Finite-Geometry and Polarized Multiple-Scattering Corrections of Experimental Fast- Neutron Polarization Data by Means of Monte Carlo Methods. Sweden: N. p., 1967. Web.
Aspelund, O, & Gustafsson, B. Finite-Geometry and Polarized Multiple-Scattering Corrections of Experimental Fast- Neutron Polarization Data by Means of Monte Carlo Methods. Sweden.
Aspelund, O, and Gustafsson, B. 1967. "Finite-Geometry and Polarized Multiple-Scattering Corrections of Experimental Fast- Neutron Polarization Data by Means of Monte Carlo Methods." Sweden.
@misc{etde_20956313,
title = {Finite-Geometry and Polarized Multiple-Scattering Corrections of Experimental Fast- Neutron Polarization Data by Means of Monte Carlo Methods}
author = {Aspelund, O, and Gustafsson, B}
abstractNote = {After an introductory discussion of various methods for correction of experimental left-right ratios for polarized multiple-scattering and finite-geometry effects necessary and sufficient formulas for consistent tracking of polarization effects in successive scattering orders are derived. The simplifying assumptions are then made that the scattering is purely elastic and nuclear, and that in the description of the kinematics of the arbitrary Scattering {mu}, only one triple-parameter - the so-called spin rotation parameter {beta}{sup ({mu})} - is required. Based upon these formulas a general discussion of the importance of the correct inclusion of polarization effects in any scattering order is presented. Special attention is then paid to the question of depolarization of an already polarized beam. Subsequently, the afore-mentioned formulas are incorporated in the comprehensive Monte Carlo program MULTPOL, which has been designed so as to correctly account for finite-geometry effects in the sense that both the scattering sample and the detectors (both having cylindrical shapes) are objects of finite dimensions located at finite distances from each other and from the source of polarized fast-neutrons. A special feature of MULTPOL is the application of the method of correlated sampling for reduction of the standard deviations .of the results of the simulated experiment. Typical data of performance of MULTPOL have been obtained by the application of this program to the correction of experimental polarization data observed in n + '{sup 12}C elastic scattering between 1 and 2 MeV. Finally, in the concluding remarks the possible modification of MULTPOL to other experimental geometries is briefly discussed.}
place = {Sweden}
year = {1967}
month = {May}
}