Study of Electron-Nucleus Scattering and Nuclear Electromagnetic Properties Based on Microscopic IBM(I) Theoretical Approach Based on BE Method

  • Nuclear transition charge/current density operators are composed according to valence nu-cleon degrees of freedom. By using boson expansion technique, a microscopic theoretical method (BE method) about the transformation of the fermion density operators into boson density operators is established. Thus, calculations of the nuclear charge/current densities can be carried out in the boson state space by taking advantage of the eigenfunctions of the microscopic IBM. Associated with the formal theories of electron-nucleus scattering and nuclear electromagnetic transition, a microscopic approach, which can be used to study nuclear transition charge/current densities, various form factors, differential cross sections, reduced transition rates, electromagnetic multipole moments, g factors and so on, is built up. The preliminary results based on the microscopic sdIBM-2 has indicated that the physical quantities mentioned before can ha described well in the framework of the microscopic approach. The preliminary calculations of spectrum, E2 transition boson structure functions (BSF) and transition charge density from 21+ to 01+ in 192Os are carried out in terms of the present approach in the frame of the microscopic ed IBM-2. It is found that a reasonable description of these physical quantities has been achieued.
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  • [1] SHI Zong–Ren. Nucl. Phys. Trend, 1996, 13:12 (in Chinese)(石宗仁. 核物理动态,1996,13:12) 2 HU Ji–Min et al. Theory of Nuclear Physics. Vol. l, Beijing: Atomic Energy Press, 1993 (in Chinese)(胡济民等.原子核理论第一卷,北京:原子能出版社,1993)3 Eisenberg J M, Greiner W. Excitation Mechanics of the Nucleus, North Holland Publishing Company, 19764 Heisenberg J, Blok H P. Ann. Rev. Nucl. Part. Sci., 1983, 33:5695 Bohle D et al. Phys. Lett., 1984, B137:27; 1987, B195:326 6 Perrino R et al. Nucl. Phys., 1993, A561:343 7 Wesseling J et al. Nucl. Phys., 1991, A535:285 8 Sandor R K J et al. Nucl. Phys., 1993, A551:349; 1991, A535:669 9 Boeglin W et al. Nucl. Phys., 1988, A477:399 10 Nojarov R et al. Nucl. Phys., 1996, A598:82; 1997, A613:25 11 Singh AJ, Raina P K. Phys. Rev., 1996, C53:125812 Lipas P O et al. Nucl. Phys., 1990, A509:509 13 Iachello F, Talmi 1. Rev. Mod. Phys., 1987, 59:339 14 YANG Z S, LIU Y, QI H. Nucl. Phys., 1984, A421:29715 ZHANG Zhan–Jun et al. High Energy Phys. and Nucl. Phys., 1998, 22:169; 836 (in Chinese)(张战军等. 高能物理与核物理,1998,22:169;836) 16 Giannatieompo A et al. Phys. Rev., 1995, C52:296917 Ginocchio J N et al. Nucl. Phys., 1992, A541:21118 Iachello F, Arima A. The Interacting Boson Model, Cambridge Univ. Press, 1987 19 ZHANG Z J, LIU Y, SANG J P. Commun Theor. Phys., 1999, 31:59320 WU C Y et al. Nucl. Phys., 1996, A607:178
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ZHANG Zhan-Jun, FANG Xiang-Zheng, SANG Jian-Ping and LIU Yong. Study of Electron-Nucleus Scattering and Nuclear Electromagnetic Properties Based on Microscopic IBM(I) Theoretical Approach Based on BE Method[J]. Chinese Physics C, 2001, 25(2): 139-148.
ZHANG Zhan-Jun, FANG Xiang-Zheng, SANG Jian-Ping and LIU Yong. Study of Electron-Nucleus Scattering and Nuclear Electromagnetic Properties Based on Microscopic IBM(I) Theoretical Approach Based on BE Method[J]. Chinese Physics C, 2001, 25(2): 139-148. shu
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Received: 2000-01-19
Revised: 1900-01-01
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Study of Electron-Nucleus Scattering and Nuclear Electromagnetic Properties Based on Microscopic IBM(I) Theoretical Approach Based on BE Method

    Corresponding author: ZHANG Zhan-Jun,
  • Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China2 Department of Physics, Anhui University, Hefei 230039, China3 Department of Physics, Wuhan, University, Wuhan 430072, China4 Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

Abstract: Nuclear transition charge/current density operators are composed according to valence nu-cleon degrees of freedom. By using boson expansion technique, a microscopic theoretical method (BE method) about the transformation of the fermion density operators into boson density operators is established. Thus, calculations of the nuclear charge/current densities can be carried out in the boson state space by taking advantage of the eigenfunctions of the microscopic IBM. Associated with the formal theories of electron-nucleus scattering and nuclear electromagnetic transition, a microscopic approach, which can be used to study nuclear transition charge/current densities, various form factors, differential cross sections, reduced transition rates, electromagnetic multipole moments, g factors and so on, is built up. The preliminary results based on the microscopic sdIBM-2 has indicated that the physical quantities mentioned before can ha described well in the framework of the microscopic approach. The preliminary calculations of spectrum, E2 transition boson structure functions (BSF) and transition charge density from 21+ to 01+ in 192Os are carried out in terms of the present approach in the frame of the microscopic ed IBM-2. It is found that a reasonable description of these physical quantities has been achieued.

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