Lecture setoN in scisyhP detidE by .H Araki, ,otoyK J. Ehlers, ,nehcnjiM K. ,ppeH Ziirich .R ,nhahneppiK ,nehcnitM .H A. Weidenmtiller, grebledieH dna J. Zittartz, Kijln 861 Heavy-ton Collisions Proceedings of the International Summer School Held in La Rdbida (Huelva), Spain, June 7-18,1982 Edited by G. Madurga and .M Lozano Springer-Verlag Berlin grebledieH New York 2891 Editors G. Madurga M. Lozano Departamento ed Fisica At6mica y Nuclear Fact&ad ed Fisica, Universidad ed Sevilla Sevilla, niapS ISBN O-54911-045-3 galreV-regnirpS nilreB Heidelberg New York ISBN 0-54911-783-O galreV-regnirpS New York Heidelberg nilreB This krow is subject to copyright. All rights are ,devreser whether the whole ro part of the material is concerned, specifically those of translation, reprinting, reuse of illustrations, broadcasting, reproduction yb photocopying machine ro similar means, and storage in data .sknab Under 5 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to “Verwertungsgesellschaft ,”traW Munich. 0 yb Springer-Verlag Berlin Heidelberg 1982 Printed in Germany Printing and binding: Beltz ,kcurdtesffO HemsbachlBergstr. 2153/3140-543210 PREFACE This volume contains the lectures dna seminars presented by the invited speakers at the International remmuS School on Heavy-lon Collisions held in aL R~bida (Huelva), Spain from June 7 to 18, 1982. The organizers chose not to select the topics in such a yaw as to cover all the bran- ches of heavy-ion physics in balanced proportion. Rather ew invited researchers from a variety of fields dna left the choice of subjects largely to their initiative. Since most of the invited speakers kindly consented to come, the result saw a fairly even representation of the most active aspects of the field. It is an experimental fact that international schools, planned primarily for beginners or novice researchers, tend to become "mixed states" with a component of the symposium or conference which cannot eb overlooked: experienced researchers see such schools as an opportunity of meeting with their colleagues dna hearing lectures directly from top- rank teachers, dna the lecturers, in turn, feel compelled not just to give a clear account of the well-established theories, but also to treat the latest findings dna their nwo contributions to the field with special care. This is by on snaem a drawback for the younger participants: for many it is the first time that they are surrounded by such a large group of active researchers in one dna the same field from different coun- tries and experience the close contact of living together for one or two weeks. This saw the case at the aL R~bida school: the complete cooperation and friendly attitude of all the participants during both academic and nonacademic activities created from the beginning a wonderfully pleasant atmosphere which cannot come through in these proceedings but will eb remembered by all ohw experienced it. ehT organizers are therefore indebted to all of the participants for making the school os enjoyable. Special thanks are due to the speakers for the high quality of their contributions dna for their success in reaching this far corner of Europe no time (even when public transportation did not cooperate), os that the scheduled program could be followed unchanged. The school saw made possible by the generous support of the Rector of the University of Seville and the Vice-Rector in charge of the "Universidad Hispano-Americana Nuestra Se~ora de aL RAbida," where the school took place. The entire staff of these buildings did their best to make our stay there fruitful dna enjoyable. Financial assistance in the organization of the school saw received from the Instituto ed Estudios Nucleares, Madrid, through the Grupo Interuniversitario de F~sica Te6rica, G.I,F.T., dna from the I.C.E. of the University of Seville. Our gratitude for financial IV support also goes to the Diputaci6n Provincial ed Huelva dna the Compa~a Sevillana ed Electricidad. Finally, the graduate students of our Department of Atomic dna Nuclear Physics, to mohw ew specially dedicated the school, have confirmed beyond any doubt through their enthusiastic dna tireless cooperation during the school dna always that the 1982 LA RABIOA LOOHCS saw worth the organizing effort, Sevilla, August 1982 .G Madurga .M Lozano TABLE OF CONTENTS 1. Opening Talk .G AGRUDAM . . . . . . . . . . . . . . . . . . . . . 1 2. Calculation of Effective Interactions F. BRIEVA . . . . . . . . . . . . . . . . . . . . . 4 3. Potential Model Description of Heavy Ion Scattering Using Spline Techniques A.M. SOBOK and R.S. rIACKINTOSH . . . . . . . . . . . . . . 21 4. Folding Models for Elastic and Inelastic Scattering G.R, RELHCTAS . . . . . . . . . . . . . . . . . . . . 52 5. Relations Between the Simultaneous and Sequential Transfer of two Nucleons G.R. RELHCTAS . . . . . . . . . . . . . . . . . . . . 44 6. Polarization Phenomena in Heavy Ion Transfer Reactions F.D. SANTOS . . . . . . . . . . . . . . . . . . . . 54 7. Nuclear Charge and Matter Distributions P.E. NOSGDOH . . . . . . . . . . . . . . . . . . . . 70 8. What oD eW Learn from Self-Consistent Models About Nuclear Density Distributions? F. RUEDNOT . . . . . . . . . . . . . . . . . . . . . 97 9. Probing the Nuclear Structure with Heavy-lon Reactions R.A. BROGLIA . . . . . . . . . . . . . . . . . . . . 701 10. Different Regimes of Dissipative Collisions A. GOBBI . . . . . . . . . . . . . . . . . . . . . 159 11. Charge Equilibration in Deep-lnelastic Peripheral Collisions D.H.E. SSORG and K.~I. NNAMTRAH . . . . . . . . . . . . . . 175 12. Neutron-Proton Asymmetry and Fast Fission: owT Extreme Time Evolutions in Dissipative Heavy lon Reactions Ch. OGN . . . . . . . . . . . . . . . . . . . . . . 185 13. Pre-Equilibrium Processes in Nuclear Reactions P.E. NOSGDOH . . . . . . . . . . . . . . . . . . . . . 220 14. Light Nuclei Far from Stability A. ODABOD and A. POVES . . . . . . . . . . . . . . . . 248 15. Direct Proton Decay of mT741 .D TDRAHCS . . . . . . . . . . . . . . . . . . . . . 256 16. Description of High Spin States A. FAESSLER . . . . . . . . . . . . . . . . . . . . 267 Vl .71 epahS Coexistence dna a weN Region of Strong Deformation in Nuclei raF from Stability J.H. NOTLIMAH . . . . . . . . . . . . . . . . . . . 782 .81 weN Directions in Studies of Nuclei raF from Stability with yvaeH Ions J.H. NOTLIMAH . . . . . . . . . . . . . . . . . . . 003 .91 Multiple Discontinuities of the tnemoM of Inertia at High Spin J.H. NOTLIMAH . . . . . . . . . . . . . . . . . . . 113 .02 tneceR Results no Nuclei raF from Stability in the ssaM noigeR A = 07 A.V. AYYAMAR dna J. HTREBE . . . . . . . . . . . . . . . 713 .12 Fusion dna dnuopmoC Nuclei yaceD for Light dna Intermediate-Mass :smetsyS ,gM~2 28Si + 21 C ;2~Mg + gM62,~2 ; 2SSi + gM~2 , 28,29,3°Si .S YRAG dna .C VOLANT . . . . . . . . . . . . . . . . 723 22. Nuclear 'Molecular' States .U ,LESOM .O ARUMINAT dna .R FLOW . . . . . . . . . . . . 823 23. ehT Excitation dna Decay of Isoscalar Giant secnanoseR A. NAV RED EDUOW . . . . . . . . . . . . . . . . . . 153 24. Spectroscopy of Superheavy Quasimolecules dna Quasiatoms .U ,RELLUM .N ,AGAN-LE-LUOBA J. ,TDRAHNIER T. de ,SUER .P ,RETULHCS .M ,TREWIES .G ,FFOS K.H. ,EKROHCSTEIW .B RELLUM dna .W RENIERG 883 List of Short Contributions by the Participants . . . . . . . . 624 List of Participants . . . . . . . . . . . . . . . . . 724 OPENING TALK Gonzalo MADURGA Facultad de Fisica, Universidad de Sevilla. Ladies and gentlemen~ Friends dna colleagues~ emocleW to this AL ADIBAR LANOITANRETNI RETPMUS LOOHCS NO YVAEH NOI ~SNOISILLOC Within ten years all over Spain, most particularly in this place, and all through America ew are going to etaromemmoc the 500th anniversary of the discovery of the weN World. This means that 490 years oga Christopher Columbus with a handful of brave sailors from this town, Palos ed la Frontera, and from nearby places started no board three ships (the Santa Maria, the Pinta, dna the Ni~a) the exciting adventure of sailing towards the West with the hope of coming back from the East. At the Monastery of aL RAbida, a few meters from us, Columbus spent emos months of reflection immedia- tely before initiating his voyage. Here he met the Franciscan fathers ohw were instru- mental for securing him the access to Queen Isabella so as to obtain from her femenine intuition the possibility of recrui'ting in this area experienced seemen. dnA here eh left his son with the Franciscans while eh went to discover the weN World. Many of you are familiar, on doubt, with a cartoon which appeared in ehT weN Yorker and saw reproduced by A. Bromley at the Nashville International Conference on Reac- tions between Complex Nuclei (1974): Columbus offers to Queen Isabella his plans written down on a parchment. ehT royal answer "Three ships is a lot of ships. yhW can't you prove the world is round with one ship?" is meant to describe the approach of the U.S. administration concerning heavy ion facilities (in 1974) as compared with the Soviet attack on the production of the supertransuranic species. A highly schem- atic view of that Soviet strategy saw represented in a ~ap of Isotopes shown by Flerov at the 1973 Munich Conference on Nuclear Physics: while sailing from the mainland towards the Island o4 Stability through the eeS of Instability, the Santa Mar{a, the Pinta, dna the Ni~a display in their banners the symbols of the heaviest projectiles available at the time (Kr, Xe, Ge); a wen boat with the U symbol is being built meanwhile on the coast. Thus the Columbian remembrances of this place, where ew are, have been related to the search of superheavies long ago. They also lead us to recall something which is at the basis of heavy ion physics. Chistopher Columbus dna his seemen were looking for something else when they found the weN World. Similarly the production of superhea- vies, -the hope of finding an island of stability- saw much of a stymulus for physi- cists I0 years oga to have heavy ion accelerators built dna to develope wen and more accurate detectiontechniques. However their efforts in this respect have been rather unsuccessful. ehT superheavies seem to eb very elusive (though you will probably hear these days Professor Greiner tell us more optimistic news on the subject). Heavy ion physicists did find, however, an unexpected variety of wen landscapes, a weN World in Nuclear Physics. ehT mainland has been expanded at both sides with proton-rich dna neutron-rich nu- clei far from stability. ehT knowledge of particular nuclei sah been deepened upon by raising them to very high spin states unaccesible with light projectiles, thus openning the exciting fields of yrast line, band crossing, back bending, superfluidi ty of nuclear mater... A certain surface transparency of systems like zzc + izC is deduced from the observa tion of a nuclear rainbow in elastic dna inelastic scattering. ehT friction between nuclei while sliding or sticking around each other in deep ine- lastic collisions is reasonably well described with almost classical methods. sA heavier dna faster projectiles emoceb available dna more exhaustive detection tech niques are developed, na extremely rich typology of reactions between the deep ine- lastic collisions dna complete fusion emerges: prompt fission, pre-equilibrium part~ cle emission, incomplete fusion, one-step multifragmentation, fusion window ... are wen concepts frequently not fully characterized or agreed upon by different authors. ehT formation of a neck is suggested sa a hipothesis to explain the enhancement of subbarrier fusion with heavy systems. nO the contrary an extra push (or na extra- extra push) is required by some theoreticians sa na explanation for the low fusion cross-section of very heavy systems at high energy. Today physicists measure not only the overall temperature of the composite nucleus from the spectrum of light particles emitted, but they think they detect a hot spot formed in the target's impact zone. ehT still recent idea of spectator parts in the proyectile dna target, sa clearly distinguished from the participant fire ball, smees today to eb inadequate, sa well as the intranuclear cascade model. This is only a very rapid, incomplete hint at emos of the wen landscapes opened us by the adventure of heavy ion collisions, you will hear about much more in detail during the next days. All this sah been done, dna is being done, by the joint effort of experimentalists dna theoreticians; and, what is very important, with the working together of scien- tist from different countries, their collaboration in national or international ins- titutions, their discussions dna exchanges of ideas dna information in international conferences, their teaching dna learning at international courses like the one ew open today. Sadly enough the achievements of science have been used some times, dna are still being used, for destruction of lives, of property and peace. But I hope ew can truly say that the scientific endeavour sah more frequently contributed to foster the pea- ceful dna friendly coexistence between different peoples, especially when it sah been undertaken with na academic mood, with a sheer eagerness to learn dna to help others Ot learn. I hope dna wish, I ma sure, this is the spirit which will dominate all of su here during these two weeks, os this remmus school will have its modest positive contribution not only towards learning physics (this is our explicit dna direct purpose) but also towards producing a more friendly, namuh world. Thanks for coming here. emocleW to aL R~bida: NOITALUCLAC FO EVITCEFFE SNOITCARETNI .F Brieva. Departamento de Fisica, Universidad de Chile, Casilla 5487, Santiago, Chile. .1 Introduction Effective nucleon-nucleon interactions have played an important role in the past years to obtain a microscopic description of both nuclear structure and the scattering of nucleons and nuclei from nuclei I-6) The idea has been to calcu- late, via some workable model which includes the basic physical effects, the effective force between two nucleons in the nucleus from the interaction between free nucleons. This free internucleon force si assumed to be known. tI corres- ponds to any of the realistic nucleon-nucleon potentials 7-9) determined empiri- cally by fitting nucleon-nucleon scattering below 350 MeV and the deuteron properties. Although these realistic forces are in principle equivalent for a two nucleon system they give different results in many-body calculations due to their different off-shell hehaviour. Within these ambiguities the calculated effective interactions have produced reasonable results J-6) One of the most important applications where the effective interactions have been successful si the generation of the average single-partice poten- tial. This single-particle potentialtwhich si identified with the optical model potential 10,11) for unbound nucleons j si obtained by folding the effective internucleon force with the nucleon matter density describing the nucleus )4 An extension of this idea has led to calculate the average nucleus-nucleus optical potential 5-6) This si obtained by double-folding the effective force with the densities of the interacting nuclei. The effective internucleon interaction is identified with the coordinate- space representation of an operator t which satisfies a Lippmann-Schwinger type integral equation 12), t(z) -- v + v A(z)t(z) )1C In .qe )I( z si a complex energy parameter, V si the realistic internucleon force and A(z) si the propagator for the nucleon pair. This operator t gets different names: transition matrix (t-matrix) or Bethe-Goldstone reaction matrix )31 -gC matrix) according to the explicit propagator A(z) considered. We shall refer to the t operator as the t-matrix. Some welI known examples for the A(z) propagator