Relation between the Nuclear Collective Model and the Individual Particle Model with Configurational Mixing
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概要
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By using the method of the quantum mechanical description of collective motion, the relation between the collective model and the individual particle model with configurational mixing is discussed on the basis of the following postulates : (I)The wave function of the nucleus, as a system composed of actual nucleons, implies strong correlations, so that the Hartree approximation makes little sense. Consequently, the method of configurational mixing currently employed as well as the shell model may not be usable without altering the representation : (II)The strong correlation gives rise to collective motion, chiefly the surface cscillation at low energies. The individual motion of nucleons which remains after subtraction of the collective motion is only weakly correlated, so that the shell model is a good approximation to the individual motion. Leaving aside the essential problem of proving this statement, we reach the following conclusions concerning the relationship between the collective and the shell models of nuclei. i)The individual particle model with configurational mixing does in fact hold in the case of small nuclear deformation, provided that the individual particle motion in the "collective represention" can be treated by means of the adiabatic approximation. ii)The effective inter-particle force responsible for the configurational mixing consists of the following two parts, one arising from the exchange of surfons between an extraparticle and a particle in the core and the other arising from a direct inter-particle interaction. iii)As far as the quadrupole moment is concerned, the collective model and the method of configurational mixing do not show any essential difference. However, there exists an essential difference in these two methods for the interpretation of the magnetic moments.
- 理論物理学刊行会の論文
- 1957-01-25
著者
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Hayakawa Satio
Research Institute For Fundamental Physics Kyoto University
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Marumori Toshio
Research Institute For Fundamental Physics Kyoto University
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Hayakawa Satio
Research Information Center Institute Of Plasma Physics Nagoya University
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