Abstract
We report on our recent advancement in the shell model and its applications to exotic nuclei, focusing on the shell evolution and large-scale calculations with the Monte Carlo shell model (MCSM). First, we test the validity of the monopole-based universal interaction (VMU) as a shell-model interaction by performing large-scale shell- model calculations in two di erent mass regions using e ective interactions which partly comprise VMU. Those calculations are successful and provide a deeper insight into the shell evolution beyond the single-particle model, in particular showing that the evolution of the spin-orbit splitting due to the tensor force plays a decisive role in the structure of the neutron-rich N 28 region and antimony isotopes. Next, we give a brief overview of recent developments in MCSM, and show that it is applicable to exotic nuclei that involve many valence orbits. As an example of its applications to exotic nuclei, shape coexistence in 32 Mg is examined.
Highlights
IntroductionEPJ Web of Conferences issue, while the shell model can treat many-body correlations straightforwardly by diagonalizing a many-body Hamiltonian matrix spanned by all the possible Slater determinants in a given valence shell, the dimension of the matrix immediately becomes too big to handle with the increase of the number of valence orbits and the number of valence particles [6]
With respect to solving many-body problems, we focus on recent advancement in the Monte Carlo shell model, which enables one to perform shell-model calculations beyond current computational limit (∼ 1010 in the M-scheme) in good accuracy
We survey our recent advancement in those issues in the framework of the shell model
Summary
EPJ Web of Conferences issue, while the shell model can treat many-body correlations straightforwardly by diagonalizing a many-body Hamiltonian matrix spanned by all the possible Slater determinants in a given valence shell, the dimension of the matrix immediately becomes too big to handle with the increase of the number of valence orbits and the number of valence particles [6]. We report on recent advancement in shell-model description concerning exotic nuclei from the above points of view. With respect to solving many-body problems, we focus on recent advancement in the Monte Carlo shell model, which enables one to perform shell-model calculations beyond current computational limit (∼ 1010 in the M-scheme) in good accuracy
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