Present and Future Nuclear Shell Model

Abstract

The present status and future perspectives of the nuclear shell model are discussed. The development and limitation of the conventional shell model calculations are shown, and stochastic approaches are introduced. As one of such approaches, the Quantum Monte Carlo Diagonalization (QMCD) method has been proposed. The formulation of the QMCD method is presented with an illustrative 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.