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Microscopic analysis of nuclear collective motions in terms of the boson expansion theory: (I). Formulation
Institution:1. Paik Institute for Clinical Research, Republic of Korea;2. Department of Health Science and Technology, Graduate School of Inje University, Republic of Korea;3. Department of Psychiatry, School of Medicine, Haeundae Paik Hospital, Inje University, Busan, Republic of Korea;4. College of Life Sciences and Biotechnology, Korea University, Seoul, Republic of Korea;1. Japan Atomic Energy Agency, 4-33, Muramatsu, Tokai-mura, Ibaraki 319-1194, Japan;2. Ibaraki University, 4-12-1 Nakanarusawa, Hitachi-shi, Ibaraki 316-8511, Japan;3. Shibaura Institute of Technology, 3-7-5, Toyosu, Koutouku, Tokyo 135-8548, Japan;4. National Institutes for Quantum and Radiological Science and Technology, 1233, Watanuki-machi, Takasaki, Gunma 370-1292, Japan;5. Tokyo City University, 1-28-1, Tamazutsumi, Setagaya-ku, Tokyo 158-8557, Japan;1. Klinik für Orthopädische Chirurgie und Traumatologie des Bewegungsapparates, Kantonsspital St. Gallen, Rorschacher Strasse 95, 9007 St. Gallen, Schweiz;2. Institut für Pathologie, Kantonsspital St. Gallen, Rorschacher Strasse 95, CH-9007 St. Gallen, Schweiz;1. Shibaura Institute of Technology, 3-7-5, Toyosu, Koutouku, Tokyo 135-8548, Japan;2. Japan Atomic Energy Agency, 4-33, Muramatsu, Tokai-mura, Ibaraki 319-1194, Japan;3. Tokyo City University, 1-28-1, Tamazutsumi, Setagayaku, Tokyo 158-8557, Japan;4. High Energy Accelerator Research Organization, 1-1, Ooho, Tsukuba 305-0801, Japan;5. National Institute for Quantum and Radiological Science and Technology, 1233, Watanukicho, Takasaki, Gunma 370-1292, Japan;1. Steel Research Laboratories, Nippon Steel & Sumitomo Metal Corporation, 1-8 Fuso-cho, Amagasaki, Hyogo 660-0891, Japan;2. Department of Mechanical Engineering, Kansai University, 3-3-35 Yamate-cho, Suita, Osaka 564-8680, Japan;3. Institute of Materials and Systems for Sustainability (IMaSS), Nagoya University, Furo-cho, Chikusa-ku Nagoya, Aichi 464-8603, Japan;1. Nanomaterials Group, Department of Materials Engineering, Tarbiat Modares University, Tehran, Iran;2. School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran
Abstract:A normal-ordered linked-cluster boson expansion theory, previously worked out by one of the authors (T.K.) and Tamura, has been developed further by reformulating it in a “physical” quasiparticle subspace which contains no spurious particle-number excitation modes. The expansion coefficients of the collective hamiltonian for low-lying quadrupole motions are determined starting from a microscopic fermion hamiltonian including self-consistent higher-order (many-body) interactions derived in our previous work. The contributions from the non-collective states with all possible non-collective one-boson excitations having Iπ = 0+− 4+, which can directly couple to the collective states with one or two phonons, are taken into account in a systematic and compact way.
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