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Ground-State Correlation

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Abstract

So far we have discussed mainly the spectroscopic properties. The model is however applied to the analysis of ground-state properties, such as binding energies and two-nucleon separation energies. By the diagonalization of the IBM Hamiltonian determined microscopically, the quantum-mechanical correlation energy, which is missing in the mean-field approximation, is included. In this chapter, we shall analyze the ground-state correlation energy as implication of the underlying structural evolution. The correlation effect turns out to be significant in the transitional nuclei, and can reproduce the correct systematics of the two-neutron separation energies. Also the empirical proton-neutron interaction can be evaluated by the so-called \(\delta \! V_{pn}\) plot, which reflects how the collectivity correlates with the underlying shell structure.

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Notes

  1. 1.

    The form of the IBM Hamiltonian used in this chapter takes the most simple one in Eq. (2.41) because other terms do not change the qualitative feature of the ground-state observables.

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Correspondence to Kosuke Nomura .

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Nomura, K. (2013). Ground-State Correlation. In: Interacting Boson Model from Energy Density Functionals. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54234-6_7

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