Browse Prior Art Database

A Coupled Channel Method for Nuclear Scattering of Dirac Particles; High Energy Electrons on Calcium

IP.com Disclosure Number: IPCOM000148725D
Original Publication Date: 1976-Aug-10
Included in the Prior Art Database: 2007-Mar-30
Document File: 30 page(s) / 1M

Publishing Venue

Software Patent Institute

Related People

Mercer, Robert L.: AUTHOR [+2]

Abstract

Robert L. Mercer Spee~h~Processing Group Computer Science DepartmentIBM T. J. Watson Research Center Yorktown Heights, M.Y. 10598 Abstract: We obtain a solution of the Dirac equation in the presence of the electromagnetic field of a complex nucleusby means of coupled-channel partial wave analysis using anew method in which the asymptotic solutions of the coupled radial wave equations include all electromagnetic couplings. Zenith, a computer program employing this method, is used to determine the importance of dispersion effects in the scattering of 250 MeV electrons from 40~aand 44~a. We find the dispersion effects to be less than one percent for angles below 90° (i.e., considerably less than experimental errorover the range investigated experimentally), thus supporting the view that the difference in the differential cross sections from 40~aand 44~aarises primarily from a difference in the ground state charge distributions of the two isotopes. NUCLEAR RFACTIONS 40~a(e,e'), 44~a(e,e'),

This text was extracted from a PDF file.
At least one non-text object (such as an image or picture) has been suppressed.
This is the abbreviated version, containing approximately 8% of the total text.

Page 1 of 30

RC 6139 (#26466) 8/10/76
Physics (General) 23 pages

A Coupled Channel Method for Nuclear Scattering of Dirac
Particles; High Energy Electrons on Calcium

Robert L. Mercer

Spee~h~Processing

               Group
Computer Science Department
IBM T. J. Watson Research Center
Yorktown Heights, M.Y. 10598

Abstract: We obtain a solution of the Dirac equation in the
presence of the electromagnetic field of a complex nucleus
by means of coupled-channel partial wave analysis using a
new method in which the asymptotic solutions of the coupled
radial wave equations include all electromagnetic couplings.
Zenith, a computer program employing this method, is used to
determine the importance of dispersion effects in the
scattering of 250 MeV electrons from 40~a
and 44~a. We find
the dispersion effects to be less than one percent for angles
below 90° (i.e., considerably less than experimental error
over the range investigated experimentally), thus supporting
the view that the difference in the differential cross sections
from 40~a
and 44~a
arises primarily from a difference in the
ground state charge distributions of the two isotopes.

NUCLEAR RFACTIONS 40~a(e,e'), 44~a(e,e'),

                                   E=250MeVt E=5OMev1
calculations; coupled-channel calculation of dispersion
effects; energy dependence of dispersion effects.

[This page contains 1 picture or other non-text object]

Page 2 of 30

LIhlITED DISTRIBUTION NOTICE


This report has been submitted-for publication elsewhere and has been issued as a Research Report for early dissemination
of its contents. As a courtesy to the intended publisher, it should not be widely distributed until after the date of outside publication.

Copies may be requested from:
IBhl Thomas J. Watson Research Center Post Office Box 218
Yorktown Heights, New York 10598

[This page contains 1 picture or other non-text object]

Page 3 of 30

Page 1

I. INTRODUCTION

   There arises, in the course of analyzing high energy electron-nucleus scattering experiments, the problem of determining the differential cross section given a particular charge distribution for the scattering target.' Computer codes which perform this type of analysis by means of the partial wave method have been available for many These codes, which are able to handle single-channel scattering, are adequate to the extent that the nucleus may be approximated by a static, spherically symmetric charge distribution. Therefore they have found their most fruitful applications in analyses of electron scattering from doubly or singly magic nuclei in which there are no low-lying excited states.

   As the need arose to analyze data from more complex nuclei, the distorted wave Born approximation (DWBA), in which the distortion of the incoming plane wave by the Coulomb field surrounding the nucleus is correctly accounted for by the partial wave method, and nuclear distortions, etc., are treated as first-order perturbations, wa...