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Shell model Monte Carlo methods
Institution:1. Grand Accélérateur National d′Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, F-14076 Caen Cedex 05, France;2. Irfu, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France;3. CSNSM, Université Paris-Sud, CNRS/IN2P3, Université Paris-Saclay, 91405 Orsay, France;4. GSI Helmholtzzentrum für Schwerionenforschung mbH, Darmstadt, Germany;5. Instituto de Física Corpuscular, CSIC - Universidad de Valencia, E-46980 Paterna, Valencia, Spain;6. IKP, University of Cologne, D-50937 Cologne, Germany;7. INFN Sezione di Firenze, IT-50019 Sesto Fiorentino, Italy;8. INFN Laboratori Nazionali di Legnaro, IT-35020 Legnaro, Italy;9. INFN Sezione di Milano, IT-20133 Milano, Italy;10. INFN Sezione di Padova and Dipartimento di Fisica e Astronomia dell''Universita'', I-35131 Padova, Italy;11. Université de Strasbourg, CNRS, IPHC, UMR 7178, F-67000 Strasbourg, France;12. Institut de Physique Nucléaire de Lyon, Université de Lyon, Université Lyon 1, CNRS-IN2P3, F-69622 Villeurbanne, France;13. Institut de Physique Nucléaire d′Orsay, Université Paris-Sud, CNRS/IN2P3, Université Paris-Saclay, 91405 Orsay, France;14. STFC Daresbury Laboratory, Daresbury, Warrington WA4 4AD, United Kingdom;15. Oliver Lodge Laboratory, The University of Liverpool, Oxford Street, Liverpool L69 7ZE, United Kingdom;p. Department of Physics, Lund University, Lund, Sweden;q. GSI Helmholtzzentrum für Schwerionenforschung mbH, Darmstadt, Germany;r. Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden;s. Department of Electronic Engineering, University of Valencia, E-46100 Burjassot, Valencia, Spain;t. Institute for Nuclear Research, Hungarian Academy of Sciences, Pf. 51, 4001 Debrecen, Hungary;u. Institute of Nuclear Physics, Polish Academy of Sciences, PL 31-342 Kraków, Poland;v. Department of Physics, University of Surrey, Guildford, United Kingdom;1. Department of Physics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran;2. Medical Physics Department, School of Medicine, Iran University of Medicine Science, P.O. Box: 14155-6183, Tehran, Iran;1. Saha Institute of Nuclear Physics, 1/AF-Bidhannagar, Kolkata, 700064, India;2. Institute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh City 700000, Viet Nam;3. Variable Energy Cyclotron Centre, 1/AF-Bidhannagar, Kolkata, 700064, India;4. Department of Physics, Barasat Govt. College, Barasat, N 24 Pgs, Kolkata, 700124, India;5. Quantum Hadron Physics Laboratory, RIKEN Nishina Center for Accelerator-Based Science, RIKEN, 2-1 Hirosawa, Wako city, Saitama 351-0198, Japan;6. Department of Natural Science and Technology, University of Khanh Hoa, Nha Trang City, Khanh Hoa Province 652124, Viet Nam;7. Faculty of Physics and Engineering Physics, Vietnam National University Ho Chi Minh City – University of Science, Ho Chi Minh City 748355, Viet Nam;8. Department of Physics, Raniganj Girls'' College, Raniganj, 713358, India;9. (Ex)Variable Energy Cyclotron Centre, 1/AF-Bidhannagar, Kolkata, 700064, India;1. Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano, via Celoria 16, I-20133 Milano, Italy;2. INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy;3. Extreme Light Infrastructure - Nuclear Physics (ELI-NP), Horia Hulubei National Institute for Physics and Nuclear Engineering, 30 Reactorului Street, RO-077125 Magurele, Jud. Ilfov, Romania;4. LNS-INFN, I-95123, Catania, Italy;5. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, 141980, Russia;6. Institute of Particle and Nuclear Physics, Charles University, CZ-18000, Praha 8, Czech Republic;7. State University “Dubna”, Dubna, Moscow Region, 141980, Russia;8. Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141701, Russia;9. Department of Physics, University of York, Heslington, York, YO10 5DD, UK;1. Variable Energy Cyclotron Centre, 1/AF-Bidhannagar, Kolkata 700064, India;2. Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai 400094, India;3. Department of Physics, Barasat Government College, Kolkata 700124, India;4. Department of Physics, Raniganj Girls'' College, Raniganj 713358, India;5. Quantum Hadron Physics Laboratory, RIKEN Nishina Center for Accelerator-Based Science, RIKEN, 2-1 Hirosawa, Wako City, Saitama 351-0198, Japan;6. Institute of Nuclear Science and Technique, Hanoi 122100, Vietnam;7. Institute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh City 700000, Vietnam;8. Saha Institute of Nuclear Physics, 1/AF-Bidhannagar, Kolkata 700064, India;9. (Ex)Variable Energy Cyclotron Centre, 1/AF-Bidhannagar, Kolkata 700064, India
Abstract:We review quantum Monte Carlo methods for dealing with large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. We first discuss the motivation, formalism, and implementation of such Shell Model Monte Carlo (SMMC) methods. There then follows a sampler of results and insights obtained from a number of applications. These include the ground state and thermal properties of pf-shell nuclei, the thermal and rotational behavior of rare-earth and γ-soft nuclei, and the calculation of double beta-decay matrix elements. Finally, prospects for further progress in such calculations are discussed.
Keywords:
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