Relativistic Mean Field Models and Nucleon-Nucleon Interactions(Nuclear Physics)
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概要
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We investigate the connection between relativistic mean field models and the bare nucleon-nucleon interaction by using a realistic interaction in the nuclear medium. Starting from a nonrelativistic bare potential and by employing a G-matrix formalism we derive an effective interaction in the nuclear medium that depends on its density. We show that its medium-and long-range components can be described to a good extent by an effective density-dependent one-boson-exchange (OBE) potential. For a good fit of the OBE to the G-matrix potential the following degrees of freedom have been found to be necessary: an isoscalar scalar S (σ-meson), an isoscalar vector V (ω-meson), an isovector scalar TS (δ-meson), an isovector vector TV (ρ-meson), and an isovector pseudoscalar PS (π-meson) Yukawa field. This allows us to extract the mass and the coupling strength of the various mesons at different densities of nuclear matter. In such a way, we investigate the density-dependence of these parameters and the influence of many-body and multi-scattering effects. We find that with increasing density of the nuclear medium m_σ is constant to a good approximation, m_δ decreases quite strongly, while m_ω and m_ρ decrease rather weakly. The coupling strengths of the fields also show a rather weak decreasing tendency. Furthermore it turns out that the extracted values of the meson fields masses and couplings are rather consistent with the parameters of effective mesons of recent RMF phenomenologies. Finally, we find that the tensor force of the bare nucleon-nucleon interaction is essential to explain the dominance of the σ-field for the attraction. This makes RMF models more consistent with ab initio calculations.
- 理論物理学刊行会の論文
- 2005-05-25
著者
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広瀬 俊亮
NEC共通基盤ソフトウェア研究所
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広瀬 俊亮
日本電気株式会社
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Hirose Shunsuke
Department Of Physics University Of Tokyo
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Akaishi Yoshinori
Kek
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Otsuka T
Department Of Physics And Center For Nuclear Study University Of Tokyo:riken
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Otsuka Takaharu
Department Of Physics And Center For Nuclear Studies University Of Tokyo:riken Hirosawa
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Ring Peter
Physics Department Technical University Munich
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Serra Milena
Department Of Physics University Of Tokyo
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OTSUKA Takaharu
Department of Physics and Center for Nuclear Study (CNS), University of Tokyo:RIKEN
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OTSUKA Takaharu
Department of Physics, University of Tokyo:Center for Nuclear Study, University of Tokyo:RIKEN
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SERRA Milena
Department of Physics, University of Tokyo
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OTSUKA Takaharu
Department of Physics, University of Tokyo:The Institute of Physical and Chemical Research (RIKEN)
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