Exotic nuclei in the Monte Carlo shell model calculations

The present status and future perspectives of the nuclear shell model are d iscussed. The development and limitation of the conventional shell model ca lculations are shown, and stochastic approaches are introduced. As one of s uch approaches, the Quantum Monte Carlo Diagonalization (QMCD) method has b een proposed. The formulation of the QMCD method is presented with an illus trative example. While the QMCD method is a general method for solving the quantum many-body interacting systems, its application to the nuclear shell model is referred to as the Monte Carlo Shell Model (MCSM). A test of the MCSM is presented confirming the feasibility of the MCSM. The MCSM provides us with a breakthrough in the shell model calculation: the level structure of low-lying states can be studied with realistic interactions for a wide, probably basically unlimited, variety of nuclei. An application to Ni-56 i s presented including its spherical yrast states, deformed band and (nearly ) superdeformed band. Applications to exotic nuclei far from the beta stabi lity Line are presented with results for various physical quantities. In pa rticular, the importance of the g-factor of the 2(1)(+) state is suggested.