In this work correlated basis functions theory is applied at the lowest order to analyze the ground state and low energy spectrum of light (p-shell) nuclei. The study is an extension of a previous work devoted to the ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ nucleus and includes state-dependent correlations, whose radial components are determined by solving a set of Euler-Lagrange equations. The matrix elements are computed by using a cluster expansion. Results of calculations performed using ${\mathit{v}}_{14}$ nucleon-nucleon potentials are presented and compared with the results obtained for ${\mathit{v}}_8$ potentials.

• Received 22 November 1993

DOI:https://doi.org/10.1103/PhysRevC.50.213