The Two-Body Force in Nuclei: Proceedings of the Symposium on the Two-Body Force in Nuclei held at Gull Lake, Michigan, September 7–10, 1971

387 Pages·1995·6.466 MB·English

by  Malcolm H. Macfarlane (auth.), S. M. Austin, G. M. Crawley (eds.)

THE TWO-BODY FORCE
IN NUCLEI
THE TWO-BODY FORCE
IN NUCLEI
Proceedings of the §ymposium on the Two-Body Force in Nuclei
held at Gull Lake, Michigan, September 7-10, 1971
Edited by
S.M. Austin and G.M. Crawlev
Cyclotron Laboratory, Department of Physics
Michigan State University
East Lansing, Michigan
~
PLENUM PRESS • NEW YORK-LONDON • 1972
Library of Congress Catalog Card Number 72-76009
ISBN 978-1-4684-8339-0 ISBN 978-1-4684-8337-6 (eBook)
001 10.1007/978-1-4684-8337-6
© 1972 Plenum Press, New York
Softcover reprint of the hardcover 1st edition 1972
A Division of Plenum Publishing Corporation
227 West 17th Street, New York, N.Y. 10011
United Kingdom edition published by Plenum Press, London
A Division of Plenum Publishing Company, Ltd.
Davis House (4th Floor), 8 Scrubs Lane, Harlesden, London, NW10 6SE, England
All rights reserved
No part of this publication may be reproduced in any form without
written permission from the publisher
Symposium Organization
under the sponsorship of
The National Science Foundation
The Office of Naval Research
The Physics Department, Michigan State University
Symposium Committee
s. M. Austin
G. M. Crawley
H. McManus
PREFACE
The idea of this symposium grew out of our discussions on the
need to review the advances that had been made in the theoretical
description of inelastic scattering reactions in the last few years.
Since a microscopic description of inelastic scattering uses
realistic effective interactions, we felt that it was appropriate
to begin such a summary with a discussion of the free two-nucleon
force.
However as we thought further about this review, it became
increasingly apparent that a rather more ambitious program linking
the free two-nucleon force and nuclear matter calculations both to
shell model calculations and to reaction theory, would be appropriate
and perhaps even necessary to do full justice to the subject. We
hope that the symposium as it emerged did fulfill these aims,
better perhaps than we expected.
There are some comments required concerning the presentation
of the material. First the papers are grouped by session number
for convenient gathering of the same topic in the same place.
Secondly, because of the rather tight constraint on pages, it was
possible to print only those contributions which were presented
orally at the symposium. The remainner are included as abstracts.
The full text of all the contributed papers is available as a
Michigan State University Cyclotron Laboratory Report (MSUCL 39/1971).
All invited papers are included except Professor Macfarlane's
talk on "Nuclear Spectroscopy with High Energy Projectiles" which
unfortunately was not available at the publication deadline. We
did not record discussion at the symposium but left the inclusion
of any comments to the discretion of the speaker.
Finally, we should like to thank the many people who helped
make the symposium a success, including nearly all the faculty and
many of the graduate students at the MSU Cyclotron Laboratory. In
particular we should like to thank Hugh McManus, Gerry Brown and
Malcolm Macfarlane for advice and comments on the program and all
the distinguished physicists who willingly acted as chairmen; we
should also like to thank Stan Fox, Duane Larson, Peter Miller, Bill
Wagner and Andy Kaye who were all of great assistance in the practical
aspects of helping the symposium run smoothly. Finally it is a great
pleasure to thank Julie Perkins, our indefatigable secretary for all
her labors both at Gull Lake and in the following months in cheer
fully typing a good deal of the final manuscript.
S. M. Austin
G. M. Crawley
vii
PROGRAM OF
GULL LAKE SYMPOSIUM ON THE TWO-BODY FORCE IN NUCLEI
Session I - Tuesday Morning
Symposium Overview M. H. Macfarlane
(ANL)
The Free Two-Nucleon Force
Phase-Shift and Potential-Model P. Signell
Analysis of Experimental Information (Michigan State
University)
Elementary-Particle Models of the G. E. Brown
Two-Nucleon Force (Stony Brook
& Nordita)
Contributions
Session II - Tuesday Evening
Off-Energy-Shell Effects
Review of Experiments on Nucleon M. L. Halbert
Nucleon Bremsstrahlung (ORNL)
Some Basic Questions in Nucleon L. Heller
Nucleon Bremsstrahlung (LASL)
Off-Energy-Shell Effects in Many F. Tabakin
Nucleon Systems (University of
Pittsburgh)
Session III - Wednesday Morning
Calculations of the Effective Reaction Matrix
in Nuclear Matter and Finite Nuclei
An Effective Reaction Matrix Derived H. A. Bethe
from Nuclear Matter Calculations (Cornell University)
The Effective Two-Body Interaction B. R. Barrett
in Finite Nuclei and its Calculation (University of
Arizona)
Contributions
ix
PROGRAM
x
Session IV - Wednesday Evening
Effective Interaction from Empirical
Studies of Finite Nuclei
The Two-Body Interaction in Nuclear J. McGrory
Shell Model Calculations (ORNL)
The Effective Nucleon-Nucleon Interaction J. P. Schiffer
Deduced from Nuclear Spectra (ANL)
Contributions
Session V - Thursday Morning
The Effective Interaction for Inelastic
Scattering and Charge Exchange Reactions
The Description of Inelastic R. Schaeffer
(p-p') Scattering (Berkeley, Saclay)
Core Polarization Effects in H. McManus
(p-p') Reactions (Michigan State
University)
The Effective Two-Nucleon Interaction S. M. Austin
from Inelastic Proton Scattering (Michigan State
University)
Contributions
Session VI - Thursday Evening
The Effective Interaction from Studies
with Complex Projectiles·
The Microscopic Description of V. A. Madsen
Inelastic Scattering and Charge (Oregon State
Exchange with Complex Projectiles University)
Experimental Review of the (3He,3He,), P. G. Roos
(3He,t) and (a,a') Reactions (University of
Maryland)
Contributions
Session VII - Friday Morning
Nuclear Spectroscopy with High M. H. Macfarlane
Energy Projectiles (ANL)
Symposium Summary M. Baranger
(MIT)
CONTENTS
PREFACE vii
PROGRAM ix
Symposium Overview, M. H. Macfarlane 1
SESSION I: The Free Two-Nucleon Force
Chairman: G. Breit, SUNY, Buffalo
Phase-Shift and Potential-Model Analysis of Experimental
Information (Invited Paper)
P. Signell 9
Elementary-Particle Models of the Two-Nucleon Force
(Invited Paper)
G. E. Brown . 29
Development of a Super Soft Core Potential Model of the
Nucleon-Nucleon Interaction
R. de Tourreil and D. W. L. Sprung 43
Two-Pion-Exchange Nucleon-Nucleon Potential
M. Chemtob, J. W. Durso and D. O. Riska. 48
The Two-Pion Exchange Contribution to the Nucleon-Nucleon
Potential
Geoffery N. Epstein and Bruce H. J. McKellar. 51
On the Definition of a Boson Exchange Potential
C. J. Noble and K. C. Richards. 51
SESSION II: Off-Energy-Shell Effects
Chairman: V. Brown, LRL, Livermore
Review of Experiments on Nucleon-Nucleon Bremsstrahlung
(Invited Paper)
M. L. Halbert 53
Some Basic Questions in Nucleon-Nucleon Bremsstrahlung
(Invited Paper)
Leon Heller . 79
xi
CONTENTS
xii
Off-Energy-Shell Effects in Many-Nucleon Systems
(Invited Paper)
Frank Tabakin 101
Neutron-Proton Bremsstrahlung Including Gauge-Invariant
Terms Arising from the Nuclear Potential
V. R. Brown and J. Franklin. 123
Off-Shell Effects in the 180 and l8F Shell-Model Spectra
H. C. Pradhan, P. U. Sauer and J. P. Vary. 126
Triton Binding Energy Predictions for Phase-Shift
Equivalent Potentials
Michael I. Haftel . 132
SESSION III: Calculations of the Effective Reaction
Matrix in Nuclear Matter and Finite Nuclei
Chairman: S. Moszkowski, UCLA
An Effective Reaction Matrix Derived from Nuclear Matter
Calculations (Invited Paper)
H. A. Bethe • 133
The Effective Two-Body Interaction in Finite Nuclei and
its Calculation (Invited Paper)
Bruce R. Barrett ISS
Solution of the Bethe-Goldstone Equation in Finite Nuclei
from N-N Phase Shift Data
R. J. W. Hodgson 177
SESSION IV: Effective Interaction from Empirical
Studies of Finite Nuclei
Chairman: L. Zamick, Rutgers University
The Two-Body Interaction in Nuclear Shell Model
Calculations (Invited Paper)
J. B. McGrory 183
The Effective Nucleon-Nucleon Interaction Deduced from
Nuclear Spectra (Invited Paper)
John P. Schiffer 20S
Does an Effective E2 Operator have a Two-Body Part?
F. Khanna, M. Harvey, D. W. L. Sprung and A. Jopko 229
CONTENTS xiii
The Coupling of Particle-Hole States to Vibrations
L. Zamick. 235
Comments on the Isospin Dependence of the Two-Body
Effective Interaction as Deduced from Nuclear Spectra
W. A. Lanford 241
Experimental Evidence of the Goodness of Seniority in
j=9/2 Orbits
W. A. Lanford 241
Problems of sd-Shell Calculations for 24Mg
P. Manakos, H. Feldmaier and T. Wolff 241
Excitation Structure of Negative Parity States in 170
A. Mtiller-Arnke. 242
An Improved Prescription for Calculating the Negative
Parity Spectrum of Doubly-Closed Shell Nuclei
F. Petrovich, R. Schaeffer and R. Trilling. 242
Monopole Polarization with a Surface Delta
Interac~ion
L. Zamick. 242
Renormalized Operators and Collective Particle-Hole
Excitations in Ca40
M. Dworzecka and H. McManus. 243
The Influence of the Two-Body Spin-Orbit Interaction on
Effective Charge
G. F. Bertsch 243
The Multiplet Structure of 210Bi
R. A. Eisenstein, T. R. Canada, C. Ellegaard and
P. D. Barnes. 244
SESSION V: The Effective Interaction for Inelastic
Scattering and Charge Exchange Reactions
Chairman: G. T. Garvey, Princeton University
The Description of Inelastic (p,p') Scattering (Invited
Paper)
Richard Schaeffer . 245
Core Polarization Effects in (p,p') Reactions (Invited
Paper)
H. McManus 265