The authors acknowledge useful discussions with many colleagues too numerous to be listed individually. They are thankful to R. W. Hayward for communication of his 8-component representation of spin 1 fields prior to publication, and for permission to use this formalism in the present work. They gratefully acknowledge the help of the Documentation Group of the Service de Physique Théorique at Saclay in preparing the text. They particularly wish to thank Mlle Danièle Dubost who carried out the typing of the manuscript in a form suitable for direct reproduction. REFERENCES 1 DANOS M. in High-energy Physics and Nuclear Structure, S. Devons ed., p.811, Plenum Press (1970) WENTZEL G. Quantum Theory of Wave Fields, Interscience, New York (1949) BOGOLIUBOV N. N. and SHIRKOV D.V. Fields, Interscience, New York (1959) BERNSTEIN J. 7 8 Elementary Particle Physics, Wiley, New York (1966) Particles and Fields, Interscience, New York (1968) Elementary Particles and their Currents, Freeman, San Introduction to Quantum Field Theory, Wiley, New York (1969) PRYCE M.H.L. Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton (1957) MESSIAH A. HAYWARD R.W. Mecanique Quantique vol.2, Appendix A, Dunod, Paris (1959) Private communication and to be published. We thank Dr. R.W. Hayward for permitting us to use his results prior to publication. JACKSON A.D. and MAXIMON L. C. SIAM J. Math. Anal. 3, 446 (1972) STRATTON, MORSE, CHU, LITTLE and CORBATO - Spheroidal Wavefunctions, MIT Technology Press and Wiley, New York (1956). MAHAUX, C. and WEI DENMULLER, H. A. - Shell Model Approach to Nuclear Reactions, North Holland, Amsterdam (1969). DANOS, M. and MAXIMON, L. C. J. Math. Phys. 6, 766 (1965). USCOMM-NBS DC 12. Sponsoring Organization Name and Complete Address (Street, City, State, ZIP) 13. Type of Report & Period Covered 14. Sponsoring Agency Code 15. SUPPLEMENTARY NOTES Library of Congress Catalog Card Number 75-26975 16. ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant bibliography or literature survey, mention it here.) The principles and the mathematical details of a fully relativistic nuclear theory are given. Since the concept of nuclear forces is a strictly non-relativistic construct, it must be abandoned and the forces must be replaced explicitly by their physical origin, i.e., by the interaction between nucleons and mesons. Thus, in this monograph the description of a nucleus has been formulated as a problem of relativistic quantum field theory which is solved by nuclear physics methods. To wit: To wit: The physics is described by specifying a Lagrangian which is a functional of the constituent fields (= of the parton fields). The solutions for the physical systems then are obtained in a time-independent treatment as expansions in the parton fields: both particles and nuclei are composite systems, made up of parton configurations, which define a representation of the Hamiltonian (associated with the specified Lagrangian). The Hamiltonian is truncated by omitting all configurations having a diagonal element exceeding that of the lowest configuration by a pre-determined value, Emax, and is diagonalized. needed to carry out this program are derived and given in full detail for spin 0, 1/2, and 1 parton fields for PS, PV, and 4 interactions. Particular attention is devoted to the center-of-mass position coordinate which in relativistic kinematics is a non-separable many-body operator. Finally, the configurations up to Emax 1 GeV are listed for the nucleon, the deuteron, and the pion. = 17. KEY WORDS (six to twelve entries; alphabetical order; capitalize only the first letter of the first key word unless a proper name; separated by semicolons) Composite particles; interacting quantum fields; nuclear structure; particle structure; relativistic bound systems; relativistic nuclear physics. |