A. Fabrocini et al., GROUND-STATE OF N=Z DOUBLY CLOSED-SHELL NUCLEI IN CORRELATED BASIS FUNCTION-THEORY, Physical review. C. Nuclear physics, 57(4), 1998, pp. 1668-1680
The ground state properties of N=Z doubly closed shell nuclei are stud
ied within correlated basis function theory. A truncated version of th
e Urbana v(14) realistic potential, with spin, isospin, and tensor com
ponents, is adopted, together with state-dependent correlations. Fermi
hypernetted chain integral equations are used to evaluate the density
, distribution function, and ground state energy of O-16 and Ca-40. Th
e nuclear matter single operator chain approximation is extended to fi
nite nuclear systems, to deal with the noncommuting part of the correl
ation operators. The results favorably compare with variational Monte
Carlo estimates,when available, and provide a first substantial check
of the accuracy of the cluster summation method for state-dependent co
relations. We achieve in finite nuclei a treatment of noncentral inter
actions and correlations having, at least, the same level of accuracy
as in nuclear matter. This opens the way for a microscopic study of th
e medium heavy nuclei ground state using present day realistic Hamilto
nians. [S0556-2813(98)00104-6].