The spherical-deformed shape coexistence of the doubly-magic Ni-56 nucleus
is studied by the Monte Carlo shell model based on the Quantum Monte Carlo
Diagonalization method. The coexistence of spherical yrast, first prolate d
eformed and second deformed states is described by the full pf- and pfg(9/2
)-shell calculations. The states of the first prolate deformed band are sho
wn to be comprised primarily of four-particle and four-hole excitations on
top of the correlated ground state. The second deformed band has negative p
arity states and can be described by including the g(9/2) degree of freedom
.