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NEW DIRECTIONS IN ANTIMATTER CHEMISTRY AND PHYSICS New Directions in Antimatter Chemistry and Physics Edited by Clifford M. Surko Professor of Physics, Physics Department, University of California, San Diego, U.S.A. and Franco A. Gianturco Professor of Chemical Physics, Dipartimento di Chimica, Università di Roma “La Sapienza ”, Rome, Italy KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBook ISBN: 0-306-47613-4 Print ISBN: 0-7923-7152-6 ©2002 Kluwer Academic Publishers New York, Boston, Dordrecht, London, Moscow Print ©2001 Kluwer Academic Publishers Dordrecht All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: http://kluweronline.com and Kluwer's eBookstore at: http://ebooks.kluweronline.com Contents Preface ix I. Positron Sources and Beams 1. A laser-cooled positron plasma B. M. Jelenkovic, J. J. Bellinger, A. B. Newbury, T. B. Mitchell and W. M. Itano 1 2. Trap-based positron beams R. G. Greaves and C. M. Surko 21 3. Intense radioisotope sources for spin polarized positron beams F. Saito, T. Hyodo, Y. Nagashima, T. Kurihara, N. Suzuki Y. Itoh, and A. Goto 35 II. Antihydrogen, Bose-Condensed Positronium, and Positrons in Materials 4. Collisions of H and Alexander Dalgarno, Piotr Froelich, Svante Jonsell, Alejandro Saenz, and Bernard Zygelman 47 5. Positron physics in a new perspective: Low-energy antihydrogen scattering by simple atoms and molecules E. A. G. Armour and C. W. Chamberlain 53 6. The Bose-Einstein condensation of positronium in submicron cavities D. B. Cassidy and J. A. Golovchenko 83 7. Cooling and quenching of positronium in porous material Haruo Saito and Toshio Hyodo 101 8. New experiments with bright positron and positronium beams A. P. Mills, Jr. and P. M. Platzman 115 9. Positron states in materials: density functional and quantum monte carlo studies Bernardo Barbiellini 127 vi 10. Depth-profiled positron annihilation spectroscopy of thin insulating films D. W. Gidley, K. G. Lynn, M. P. Petkov, M. H. Weber J. N. Sun, and A. F. Yee 151 III. Positron and Positronium Interactions with Atoms 11. The scattering of positrons and positronium by atomic targets H. R. J. Walters, Jennifer E. Blackwood and Mary T. McAlinden 173 12. Positronic atoms J. Mitroy, M. W. J. Bromley and G. G. Ryzhikh 199 13. Perspectives on physics with low energy positrons: fundamentals, beams and scattering Michael Charlton 223 14. Positron chemistry by quantum monte carlo Massimo Mella, Simone Chiesa, Dario Bressanini, and Gabriele Morosi 235 15. Antimatter compounds D. M. Schrader and J. Moxom 263 16. Positronium-atom/molecule interactions: momentum-transfer cross sections and Y. Nagashima, F. Saito, N. Shinohara, and T. Hyodo 291 17. Correlations between cross sections and threshold energies for positronium formation and direct ionization J. W. Humberston, P. Van Reeth and G. Laricchia 303 IV. Positron and Positronium Interactions with Molecules 18. Scattering of positronium atom off atomic hydrogen and helium targets A. S. Ghosh and Prabel K. Sinha 323 19. Atomic and molecular physics using positron traps and trap-based beams C. M. Surko 345 Contents vii 20. Experimental studies of positron scattering using a weak radioactive isotope source O. Sueoka 367 21. Future opportunities in positron-atom (molecule) scattering Stephen J. Buckman 391 22. Theory of positron annihilation on molecules Gleb Gribakin 413 23. Bound states of positron with molecules M. Tachikawa, I. Shimamura, R. J. Buenker and M. Kimura 437 24. Low-energy positron dynamics in polyatomic gases F. A. Gianturco, T. Mukherjee, T. Nishimura and A. Occhigrossi 451 25. A test calculation on of model potentials for correlation and polarization effects in positron scattering from molecules Robert R. Lucchese, F. A. Gianturco, P. Nichols, and Thomas L. Gibson 475 26. On the contribution of polarization-correlation forces to high annihilation rates in positron-molecule collisions Márcio T. do N. Varella, Claudia R. C. de Carvalho and Marco A. P. Lima 493 Author Index 503 Index 505 Preface This volume is the outgrowth of a workshop held in October, 2000 at the Institute for Theoretical Atomic and Molecular Physics at the Harvard- Smithsonian Center for Astrophysics in Cambridge, MA. The aim of this book (similar in theme to the workshop) is to present an overview of new directions in antimatter physics and chemistry research. The emphasis is on positron and positronium interactions both with themselves and with ordinary matter. The timeliness of this subject comes from several considerations. New concepts for intense positron sources and the development of positron accumulators and trap-based positron beams provide qualitatively new experimental capabilities. On the theoretical side, the ability to model complex systems and complex processes has increased dramatically in recent years, due in part to progress in computational physics. There are presently an intriguing variety of phenomena that await theoretical explanation. It is virtually assured that the new experimental capabilities in this area will lead to a rapid expansion of this list. This book is organized into four sections: The first section discusses potential new experimental capabilities and the uses and the progress that might be made with them. The second section discusses topics involving antihydrogen and many-body phenomena, including Bose condensation of positronium atoms and positron interactions with materials. The final two sections treat a range of topics involving positron and positronium interactions with atoms and molecules. In the area of experimental capabilities, positron physics has historically been hindered severely by the lack of intense, cold and bright positron sources. One article in the first section presents a new design for an intense source. Other articles in the same section describe new developments in the use of Penning traps to create ultra-cold and intense, pulsed and continuous positron beams. These developments present qualitatively new opportunities to study a range of phenomena ranging from fundamental atomic and molecular physics to the characterization of materials and material surfaces. The articles in Section II on antihydrogen speak for themselves. There are presently two experimental efforts at CERN to create and trap antihydrogen atoms. If successful, this will represent the first stable antimatter in the laboratory. It is quite likely that these efforts will blossom into several important, long-term research directions. The two antihydrogen articles discuss fundamental processes involving the interaction of these antiatoms with ordinary matter. Not only is this an important theoretical question, but it also has potentially important consequences for the development of ix x practical schemes to cool antihydrogen sufficiently quickly to be able to trap the atoms in present-day magnetic traps before they are lost to annihilation. Another article in this section describes an experiment designed to create Bose-condensed positronium. This is a very ambitious project, but one that may now be feasible due, in part, to recent advances in positron traps and beams. Even in lieu of the ultimate goal of producing Bose condensation, this experimental research direction is likely to lead to other fascinating new possibilities. These topics fall under the general category of positron-matter interactions at high densities (e.g., the limit in which the de Broglie wavelengths of the particles becomes comparable to the interparticle spacing). Important questions in this regime include the formation of molecules and the phase diagram of the correlated electron-positron gas in the quantum regime (e.g., BEC positronium represents one phase in this diagram). Other articles in Section II discuss the theoretical and practical aspects of positron interactions in materials. The last two sections in this volume describe positron interactions with atoms and molecules. While this is a subject with a long history, a surprisingly large number of fundamental questions remain to be understood. This is due in large part to the fact that the experimental tools that have been commonplace in studying ion, electron, photon, and neutral atom interactions are only now becoming available to study the analogous positron and positronium interactions. Many of the problems in this area relate to low-energy interactions of positrons with matter and can be considered to be fundamental to the establishment of a quantitative antimatter-matter chemistry. Section III focuses on phenomena involving atoms. One important question regards the existence and nature of positron-atom bound states. Described in this section are accurate calculations of the ground state energy levels of these complexes. These calculations leave little question that such states do exist. Thus the challenge in this area is now in the experimentalist's camp. Other phenomena of interest include understanding the details of positronium formation in positron-atom collisions and a variety of other positron and positronium scattering processes, including the application of recently developed experimental tools to study electronic excitations and resonances in atoms. Section IV focuses on positron and positronium interactions with molecules. Presently there is keen interest in this area, driven by the recent advances in both theory and experiment. Newly developed experimental techniques have permitted the study of low-energy annihilation processes further illuminating experimental findings, dating back three decades, that modest changes in the chemical structure of molecules can result in orders of Preface xi magnitude changes in the annihilation rate. While far from understood, this and related phenomena have recently been analyzed by a number of theoretical groups. Several possible mechanisms have been proposed and are under active discussion. The quantitative predictions that are now becoming available will undoubtedly stimulate a new round of experiments, some of which are outlined in the experimental articles in this section. Other topics of interest include understanding the dynamics of the post- annihilation system including molecular fragmentation and the distribution of final states. The situation is more or less the reverse in the area of low-energy positron scattering, where there have been a range of predictions for phenomena involving molecules that remain still to be tested. New experimental techniques appear to be on the verge of being able to study these aspects of our understanding. This topic of positron-molecule scattering also relates directly to the question of positron annihilation on molecules in the sense that low energy scattering experiments can, in principle, measure the zero- energy scattering length. In this way, one can obtain a quantitative measure of the the low-energy positron-molecule interaction that, at least in some theories, is predicted to give rise to positron bound states and virtual resonances. This volume contains many stimulating ideas that are likely to inspire new research efforts into the chemistry and the physics of low-energy antimatter and matter-antimatter interactions. It also presents an up-to-date picture of the scientific landscape as viewed by the international community of physicists and chemists, both experimentalists and theoreticians, who are tackling the broad range of problems in this area. In closing, we wish to thank the people responsible for this new look at the field. We are indebted to Kate Kirby and members and staff of the Institute for Theoretical Atomic and Molecular Physics at the Harvard-Smithsonian Center for Astrophysics for hosting the workshop at which this project began to take shape. We thank both the authors and reviewers of the articles in this volume for their cooperation. Finally we thank Ms. Judy Winstead for her generous involvement and the substantial amount of work required to successfully merge the contributions from over twenty authors into the final manuscript that produced this volume. Cliff Surko La Jolla Franco Gianturco Rome Chapter 1 A LASER-COOLED POSITRON PLASMA † J. J. Bollinger, A. B. Newbury , T. B. Mitchell‡, and W. M. Itano § Time and Frequency Division, National Institute of Standards and Technology Boulder, CO Abstract We present results on trapping and cooling of positrons in a Penning trap. Positrons from a 2 mCi source travel along the axis of a 6 T magnet and through the trap after which they strike a Cu reflec- tion moderator crystal. Up to a few thousand positrons are trapped and lose energy through Coulomb collisions (sympathetic cooling) with laser-cooled By imaging the laser-induced fluorescence, we observe centrifugal separation of the ions and positrons, with the positrons coalescing into a column along the trap axis. This indicates the positrons have the same rotation frequency and comparable den- sity as the ions, and places an upper limit of approximately 5 K on the positron temperature of motion parallel to the magnetic field. We estimate the number of trapped positrons from the volume of this column and from the annihilation radiation when the positrons are ejected from the trap. The measured positron lifetime is > 8 days in our room temperature vacuum of Pa. 1. INTRODUCTION This paper presents experimental results on the capture, storage and cooling of positrons in a Penning trap that simultaneously contains laser- cooled ions. The experimental work follows previous discussions and simulations of trapping and sympathetic cooling of positrons via Coulomb collisions with cold ions [1,2]. Cold positron plasmas are useful as a source for cold beams of high brightness [3, 4, 5, 6]. Many of the chapters in this volume, for example the chapters by Greaves * Also at Institute of Physics, University of Belgrade, Yugoslavia. † Permanent address:Ball Aerospace, Boulder, CO 80301 ‡ Permanent address: Dept. Phys. and Astron., Univ. of Delaware, Newark, DE 19716 § Contribution of the National Institute of Standards and Technology. Not subject to U.S. copyright. 1 C.M. Surko and F.A. Gianturco (eds.), New Directions in Antimatter Chemistry and Physics, 1–20 . © 2001 Kluwer Academic Publishers. Printed in the Netherlands.

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