On the Renormalization Effect due to the Ground State Correlation on the Nuclear Vibrational Motion
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概要
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A method is given which takes into account the renormalization effects due to the ground state correlation in the nuclear vibrational motion of medium and heavy nuclei. The collective eigenmode is taken as a two-quasi-particle mode; this means that Bogoliubov bound pairs break up in a coherent manner. Self-consistent equations are derived which determine the vibrational eigenmodes and the Bogoliubov quasi-particles, both renormalized owing to the effects of the ground state correlations. Calculations are made for the simple case of a single j-shell with the aim of seeing the physical features of the effect, especially the dependence of the effects on the properties of the nuclear interaction, by changing the ratio of the magnitude of the particle-particle and particle-hole matrix elements of the interaction. According as the particle-particle or the particle-hole matrix elements of the nuclear interaction is dominant, we get different results for the renormalization effects on the quasi-particle energy and the E2 transition probability from the vibrational state to the ground state. In either case the renormalization effects reduce the ground state correlation by reducing the difference of the magnitude of the particle-particle and particle-hole matrix elements.
- 理論物理学刊行会の論文
- 1966-09-25
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