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Microscopic study of configuration mixing in the interacting boson model
Affiliation:1. Department of Physics, Liaoning Normal University, Dalian 116029, China;2. School of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, China;3. Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan 410081, China;1. Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, PL-02-093 Warsaw, Poland;2. Department of Physics, University of York, Heslington, York YO10 5DD, United Kingdom;3. Department of Physics, P.O. Box 35 (YFL), University of Jyväskylä, FI-40014 Jyväskylä, Finland;4. Helsinki Institute of Physics, P.O. Box 64, FI-00014 University of Helsinki, Finland;5. Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8577, Japan;6. Department of Physics, Osaka City University, Osaka 558-8585, Japan;1. Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India;2. Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France;3. Univ Lyon, Univ Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, F-69622, Villeurbanne, France;4. Wolfram Research, Inc., 100 Trade Center Drive, Champaign, IL 61820-7237, USA;1. Centre for Analysis, Scientific computing and Applications, Eindhoven University of Technology, 5600 MB Eindhoven, the Netherlands;2. T-5 Applied Mathematics and Plasma Physics Group, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;3. Space Science Institute, 4765 Walnut St, Suite B, Boulder, CO 80301, USA
Abstract:The microscopic foundation of the configuration-mixing interacting boson model, as proposed by Duval and Barrett, is explored. In this model, the normal shell-model configurations are supplemented by intruder configurations that arise by exciting a proton pair from one major shell to the next. A computationally-efficient generalized-seniority formalism for treating the mixing of these two configurations is described. Boson mixing parameters are obtained using the Otsuka-Arima-Iachello mapping procedure. Specific application to configuration mixing in the Cd isotopes is reported. The successes and failures of the calculations are assessed and suggestions for future work are made.
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