A Unified Theory of the Nucleus
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Y. C. Tang A Unified Theory of the Nucleus
K. Wildermuth Y.C.Tang
A Unified Theory of the Nucleus With 77 Figures
ACADEMIC PRESS New York San Francisco A Subsidiary of Harcourt Brace Jovanovich, Publishers
London
1977
ACADEMIC PRESS, INC. 111 Fifth Avenue, New York, New York 10003
1977 All rights reserved
© Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig, 1977
Softcover reprint of the hardcover 1st edition 1977 No part of this publication may be reproduced, stored in a retrieval system or transmitted, mechanical, photocopying, recording or otherwise, without prior permission of the copyright holder.
Library of Congress Catalog Card No. 76-52285
ISBN-13: 978-3-528-08373-1 DOl: 10.1007/978-3-322-85255-7
e-ISBN-13: 978-3-322-85255-7
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Preface The purpose of this monograph is to describe a microscopic nuclear theory which can be used to consider all low-energy nuclear phenomena from a unified viewpoint. In this theory, the Pauli principle is completely taken into account and translation ally invariant wave functions are always employed. Also, this theory is quite flexible; it can be utilized to study reactions initiated not only by nucleons but also by arbitrary composite particles. Throughout this monograph, we have endeavoured to keep the underlying physical ideas as easily comprehensible as possible. Consequently, it becomes frequently necessary to sacrifice mathematical rigour in favour of clarity in presenting these ideas. In this way, it is our hope that this monograph could be useful to many research physicists in the nuclear field, experimentalists and theorists alike. In chapters 1 through 4, the formulation of this theory is presented. Numerical examples concerning bound-state, scattering, and reaction calculations are mainly described in chapters 5 through 7. In chapters 8 through IS we discuss, within the framework of this theory, general properties of nuclear systems. Finally, in chapters 16 and 17, we show in specific cases how one can achieve, without carrying out explicit calculations, a qualitative or even semi-quantitative understanding of these cases by applying the general physical concepts contained inherently in this theory. Many of our colleagues have offered valuable advice and constructive criticism. These people are: R. E. Brown, D. Clement, F Gdnnenwein, E. Kaneliopoulos, P. Kramer, E. Schmid, H. Schultheis, R. Schultheis, G. Staudt, W. Siinkel, and D. R. Thompson. To them we express our most sincere gratitude. It is also our pleasure to acknowledge W. Pil/. S. Smith, and G. Tollefson for their assistance in the preparation of the manuscript. Finally, we are grateful to our wives, Erika Wildermuth and Helen Tang, for their patience and encouragement throughout the period in which this monograph was written.
K. Wildermuth Y. C. Tang
Tiibingen, Germany Minneapolis, Minnesota, U.S.A.
Contents
1.
Introduction
1.1. 1.2.
General Remarks Difficulties of Some Reaction Theories
1 3
2.
Reformulation of the SchrOdinger Equation
6
3.
Discussion of the Basis Wave
