Lecture Notes ni Physics Edited by .J Ehlers, ,nehcn3~M .K Hepp, Zerich .R Kippenhahn, MLinchen, .H .A WeidenmLiller, Heidelberg and .J Zittartz, n16K Managing Editor: W. BeiglbSck, Heidelberg 87 Few Body Systems and Nuclear Forces II 8. International Conference Held in Graz, August 24-30, 1978 detidE yb H. Zingl, .M Haftel and .H Zankel galreV-regnirpS Berlin Heidelberg New kroY 8791 Editors H. Zingl M. Haffel H. Zankel Institut f~r Theoretische Physik der Universit~t Graz Universit~tsplatz 5 A-8010 Graz ISBN 3-540-09099-1 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-09099-1 Springer-Verlag New York Heidelberg Berlin This work is subject to copyright. llA the whether whole or rights are reserved, part of is concerned, the specifically material those of reprinting, translation, of re-use broadcasting, illustrations, reproduction photocopying by machine or similar means, dna storage ni data Under § banks. 54 of the Copyright German waL where copies are made for other than fee a use, private is to the payable to fee the of amount the publisher, eb publisher. the with agreement by determined © Berlin Heidelberg Springer-Verlag by 8791 Printed ni Germany Printing dna binding: Beltz Offsetdruck, Hemsbach/Bergstr. .012345-0413/3512 EDITORIAL PREFACE The 8 th International Conference on Few Body Systems and Nuclear Forces was held at the University of Graz, Graz Austria on August 24 - 30, 1978. The past twenty years have seen a considerable broadening in energy, scope and thought regarding "Few Body" problems. The early conferences concentrated mainly on low energy two and three nucleon processes mediated by two-body, non-relativistic potentials. While these problems still play a role, the main emphasis in the Graz conference vis ~ vis the nuclear force was its relation to intermediate energy (that is meson-nucleon) physics and even particle physics. Data from meson fac- tories like LAMPF, TRIUMF and SIN have challenged theorists to inves- tigate more thoroughly the "meson degrees of freedom" which promise to play an essential role in understanding the N-N data above 400 MeV. Also, for the first time at one of these conferences, the role of quarks in understanding the nuclear force, especially at short dis- tancesn was considered. The traditional "low energy" regime has undergone considerable trans- formation as indicated by the work presented at Graz. New data and phase-shift analyses have clarified many of the ambiguities associated with the P-wave and tensor N-N interaction. The work on polarization in the N-d system has motivated the development of more sophisticated three-body scattering codes with higher partial waves, to analyze even breakup polarization experiments. The period since the 1976 Delhi conference has also witnessed the application of three-body methods, once applied only to the 3N-problem, to more complex systems. Progress reported in Graz involved both a practical side (such as e-d breakup calculations) and theoretical side (such as presentation of ways of including few-body methods in N body calculations which promise some hope of being applied). Even the once forbidding "exact" solution of the four body problem has been amply attacked. A beginning~has also been made to include few-body problems in other fields - notably atomic and molecular physics. While the contributions at Graz in these fields have been modest (along with a couple of contributions in Delhi) a beginning has been made with the promise of more in future con- ferences. The Graz conference consisted of 13 invited talks given in plenary sessions, 3 poster sessions and 10 discussion sessions which met for 2 - 3 hours each. Two of the discussion sessions 8( and 10) were di- vided into 2 sessions each. JV The invited papers were selected to cover the areas of traditional interest (e.g., a review of N-N potential theories), to report on topics of special interest, and to introduce work on the frontier edge of the field (e.g., quarks and the N-N interaction). The discussion sessions were designed to enable the detailed discussion of the con- tributions in each field of interest. These were preceded by poster sessions to give an ample opportunity for one-on-one discussion before presentation of a contribution in a discussion session. Most of the contributed papers were presented in the discussion session with the exact format up to the discussion leader. Each rapporteur then gave a report to the full conference on the significant developments in the subject area of each discussion group - following the pattern of the Laval and Delhi conferences. We must add that, on the whole, the rapporteurs did an enviable job of presenting the significant issues in a coherent manner while integrating into it the contributions presented at this conference. This is the second of 2 volumes of the conference proceedings. Volume I, which includes contributed papers, has already been published and was available to participants at the beginning of the conference. In this way conference participants could have the full text of the contri- butions for study. This did, however, necessitate an early deadline with the resulting problem of omission of important work performed after the deadline. This volume contains the invited talks, rapporteur re- ports and post-deadline papers. The post-deadline papers published are those which, on the advice of the international advisory committee, the editors selected as contributions which contained important results but were received after the deadline. The organizers are indebted to I.R.Afnan, R.Amado, E.BackenstoB, G.Bencze, H.E.Conzett, J.A.Edgington, Y.Kim, W.Sandhas, I.Slaus, R.Vinh Mau and B.Zeitnitz for moderating the discussion sessions which were a most im- portant part of the conference. They are greatful to K.Bleuler, R.Haddock, W.Haeberli, A.Johansson, J.Levinger, I.Slaus, R.Slobodrian and K.Wilder- muth for chairing the plenary sessions. Finally, we owe much to Gudrun Jaritz and Maria Krautilik for typing and correcting many of the manu- scripts in this volume. Harald F. K. Zingl Michael .I Haftel Graz, October 3, 1978 Hubert Zankel INTERNATIONAL ADVISORY COMMITTEE I.R.Afnan,Bedford Park,Australia A.N.Mitra,Delhi,lndia E.O. Alt, Mainz, Germany M.J. Moravcsik, Eugene, USA R.D. A/~ado, Philadelphia, USA H.P. Noyes, Stanford, USA G. Bencze, Budapest, Hungary V. Valkovi~,Zagreb,Yugoslavia W. Breunlich, Vienna, Austria J.M. Pniewski, Warsaw, Poland G.E.Brown,NORDITA and Stony Brook,USA H.G. Pugh, College Park, USA H.E. Conzett, Berkeley, USA J.R.Richardson,Los Angeles,USA J.A. Edgington, London, England L. Rosen, LAMPF, USA H. Fiedeldey, Pretoria, Southafrica W. Sandhas, Bonn, Germany M. Gmitro, Rez, Czechoslowakia T. Sasakawa,Sendai, Japan W. Gr~ebler, Zdrich, Switzerland .E Schmid, T~bingen, Germany A. Johansson, Uppsala, Sweden P. Signell,East Lansing, USA Y. Kim, West Lafayette, USA A.G. Sitenko, Kiew, USSR L. Kok, Groningen, Netherlands .I Slaus, Zagreb, Yugoslavia V.V. Komarov, Moskow, USSR R.J.Slobodrian,Quebec, Canada B. K0hn, Dresden, GDR W. Thirring, Vienna, Austria M.P. Locher, SIN, Switzerland J.A. Tjon, Utrecht,Netherlands .I Lovas, Budapest, Hungary R.Vinh Mau, Paris, France P. Macq, Louvain, Belgium R.van Wageningen,Amsterdam, Netherlands J.S.C. Mc Kee, Winnipeg, Canada B.Zeitnitz, Bochum, Germany D.F. Measday, Vancouver, Canada LOCAL ORGANIZING COMMITTEE J- Fr~hlich F. PauB H. Kriesche W. Plessas H. Latal K. Schwarz L. Mathelitsch H. Zankel H. Mitter H. Zingl TABLE OF CONTENTS I. TWO HADRON INTERACTIONS 1.1. N-N Phase Shift Analysis R.A. Bryan (Texas A&M) .......................... 2 1.2. Potentials in Review K. Holinde (Bonn) ............................... 12 1.3. Two-Hadron Interaction (Rapporteur's talk to discussion session I) E. Lomon (MIT) .................................. 48 1.4. Off-Shell Effects in the Nucleon-Nucleon System (Rapporteur's talk to discussion session 2) L. Heller (Los Alamos) .......................... 68 1.5. Polarization Phenomena in Two-Body Systems (Rapporteur's talk to discussion session 3) G. Thomas (Argonne) ............................. 86 1.6. Quark Models of the Nuclear Force C. De Tar (Utah) ................................ 113 I .7. Experiments on the Conservation or Non- Conservation of Isospin, Parity, and Charge Conjugation and Time Reversal Invariance R.P. Haddock (UCLA) ............................. 127 2. PION INTERACTION AND PION PRODUCTION 2.1. Nucleon Induced Experiments above Pion Threshold G. Jones (TRIUMF) ............................... 142 2.2. Pion Production in Nucleon-Nucleon Scattering (Rapporteur's talk to discussion session 10/2) W.M. Kloet (Rutgers) ............................ 164 2.3. Pion-Nucleus Interaction (Rapporteur's talk to discussion session 10/I) W. Weise (Regensburg) ........................... 177 2.4. Meson Induced Reactions in the Two- and Three- Nucleon System B. Nefkens (UCLA) ............................... 189 3. THREE AND FOUR BODY SYSTEMS 3.1. Nuclear Reactions Involving Three-Particle Systems A.G. Sitenko (Kiew) ............................. 210 3.2. Lepton Scattering I. Sick (Basel) ................................. 236 fIIV 3.3. Recent Work in Three-Body Systems (Rapporteur's talk to discussion session )5 A.W. Thomas (TRIUMF) ........................... 3.4. Low Energy Three- and Four-Nucleon Scattering Experiments B. Sundquist (Uppsala) ......................... 267 3.5. Polarization Effects in the Three-Body System (Rapporteur's talk to discussion session )6 G.G. Ohlsen (Los Alamos) ....................... 295 3.6. Dynamics of Four-Particle Systems (Rapporteur's talk to discussion session )7 J.A. Tjon (Utrecht) ............................ 320 3.7. Three-Body Phenomenology for Elementary Particle Systems (Rapporteur's talk to discussion session )4 R. Aaron (Northeastern) ........................ 333 3.8. Exact Results for the Scattering of Three Charged Particles W. Thirring (Vienna) ........................... 353 .4 N BODY SYSTEMS AND FEW BODY SYSTEMS IN OTHER FIELDS 4.1. Highlights of the Third International Conference on Clustering Aspects of Nuclear Structure and Nuclear Reactions B.S. Bhakar and W.T.H. van Oers (Manitoba) ..... 364 4.2. Few-Body Aspects of the 6-Nucleon System (Rapporteur's talk to discussion session 8/I) G.R. Plattner (Basel) .......................... 376 4.3. N-Body Systems (Rapporteur's talk to discussion session )9 K.L. Kowalski (Case Western Reserve) ........... 393 4.4. Narrow Resonances in the Continuum D. Fick (Marburg) .............................. 414 4.5. Application of Few-Body Methods to Other Fields (Rapporteur's talk to discussion session 8/2) E.F. Redish (Maryland) ......................... 427 .5 CONCLUDING REMARKS Twenty Years of the Few-Body Problem M.J. Moravcsik (Oregon) ........................ 452 .6 POST DEADLINE PAPERS 6.1. Recent Progress in Dispersion Theoretical Approach to Nuclear Forces R. Vinh Mau .................................... 472 XI 6.2. Tensor Analyzing Powers in Deuteron-Proton Elastic Scattering and the Breakup Reaction at 45.5 MeV H.E. Conzett .................................. 477 6.3. On Polarization Phenomena in Proton-Deuteron Elastic Scattering at Medium and High Energies B.S. B~a~r and ~.T.H. v~ Oers ................ 483 6.4. The Methods of Solving the Few-Body Problem in Quantum Mechanics V.V. Komarov ................................... 487 6.5. Extension of the Lane Model to Light Nuclei R.C. Byrd, R.L. Walter and S.R. Cotanch ........ 493 6.6. Third Cluster Coefficient for Square Well Discs S.Y. Larsen and J.E. Kilpatrick ................ 497 6.7. Applications of ATMS to the 4He Trimer and Tetramer S. Nakaichi, Y. Akaishi, .H Tanaka and T.K. Lim. 501 6.8. Effects of the Coulomb Distortion on Phase-Shifts and Effective-Range Parameters in Proton-Proton Scattering L. Mathelitsch and W. Plessas .................. 505 6.9. Limit on the Applicability of the Low Theorem for Proton-Proton Bremsstrahlung B.M.K. Nefkens, O.R. Sander, G.D.L. Webster and D.I. Sober .................. 507 6.10. Optimal Complete and Optimal Sufficient Sets of Experiments for Elastic Nucleon-Nucleon Scattering J. Bystricky, F. Lehar, J. Patera and P. Winternitz .................................. 509 6.11. Polarization Measurement in pp Elastic Scattering at 150 GeV/c between 0.2 < -t < 3 GeV 2 G. Fidecaro, M. Fidecaro, L. Lanceri, S. Nurushev, Ch. Poyer, V. Solovianov, M. Steurer, A. Vascotto, F. Gasparini, M. Posocco, C. Voci, R. Birsa, F. Bradamante, M. Giorgi, A. Penzo, L Piemontese, P. S ~ A. Villari, W. Bartl, Ro Fr~hwirth, H.R. Gerhold, Ch. Gottfried, G. Leder, W. Majerotto, G. Neuhofer, M° Pernicka, M. Regler and H. Stradner .................................... 511 6.12. The Tensor Analyzing Power Axz for Elastic Scattering of 20.2 MeV Deuterons from 4He P. Schiemenz, H. Clement, R. Frick, G. Graw and N. Seichert ........................ 515 6.13. Evidence for Fragment Production via Two-Body Breakup J.A. Gaidos, L.J. G~tay, A.S. Hirsch, R. Mitchell, T.V. Ragland, R.P. Scharenberg, F. Turkot, R.B. Willmann and C.L. Wilson ....... 516 6.14. p-d Scattering at Very Small Relative Energy Observed in the FSI Regions of the 3He (p,dp) p Reaction at 156 MeV T. Yuasa and N. Koori .......................... 519 6.15. Finite Cross Section for Three-Particle Scattering M. Yamazaki .................................... 521 6.16. Charge-Independent R-Matrix Analysis of the Four-Nucleon System G.M. Hale and D.C. Dodder ...................... 523 6.17. Two-Body Scattering in Force Field V.V. Komarov, A.M. Popova and V.A. Shablov ..... 525 6.18. Separable Interaction of Composite Particles with Inclusion of the Pauli Principle E.W. Schmid and R. Kircher ..................... 528 6.19. ÷ ~ d ynn and the Effective Theory Range Parameters a and r nn nn J.C. Alder, W. Dahmem, H.v. Fellenberg, B. Gebioud, C. Joseph, J.F. Loude, N. Morel, H. Panke, A. Perrenoud, J.P. Perroud, D. Renker, G. Strassner, M.T. Tran, P. Tru61, E. Winkelmann and C. Zupancic .................. 530 Erratum: A New Stable Dibaryon H. H~gaasen and P. Sorba (Few Body Systems and Nuclear Forces I, Proceedings, Graz 1978, in Lecture Notes in Physics 82 (1978)84) ............... 533 List of Participants .................................... 534 A NEW STABLE DIBARYON-ERRATUM H. H#gaasen and P. Sorba CERN The use of an incorrect expression for the eolourmagnetic interaction of A and ° C led us to an estimate of the mass defect of the AC ° state that probably is wrong. Equation 6 should read Min(EI,E2) ~ <6qIH'I6q> - <AIH'IA> - <C°IH, IC°> ~ Max(EI,E2) 4 where 1 = E -12(Cns + Cne - Cn~ - ~ Csc 2 E = - 8(Cns + Cnc + Csc) + -32Cnn <AIH'IA> = <C°IH'IC°> = <NIH'IN> = -8C nn Because of the uncertainty in the values of the parameters C~. lj' it cannot be decided from the linear mass formula that the AC ° state is bound. A MIT type mass formula gives however a binding energy of the AC ° state which is around 200 Mev. A greatly extended version of this paper is now CERN preprint TH 2531.