A two-level solvable model involving competing pairing interactions |
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| Affiliation: | 1. State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China;2. School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China;3. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan;1. State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China;2. School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, Beijing 100191, China;1. State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China;2. Department of Physics, University of Stellenbosch, Stellenbosch, South Africa;3. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan;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. Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka, 567-0047, Japan;2. Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki, 319-1195, Japan;3. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan;4. Nishogakusha University, 6-16, Sanbancho, Chiyoda, Tokyo, 102-8336, Japan;5. Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Genova, via Dodecaneso 33, 16146 Genova, Italy;6. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan |
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| Abstract: | A model is considered consisting of nucleons moving in two non-degenerate l-shells and interacting through two pairing residual interactions with (S, T) = (1, 0) and (0, 1). These, together with the single particle hamiltonian induce mutually destructive correlations, giving rise to various collective pictures that can be discussed as representing a two-dimensional space of phases. The model is solved exactly using an O(8) ⊗ O(8) group theoretical classification scheme. The transfer of correlated pairs and quartets is also discussed. |
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