Shell model and Hartree-Fock calculations of longitudinal and transverse electroexcitation of positive and negative parity states in O17

Abstract

The nuclear structure of the $^{17}\mathrm{O}$ nucleus has been investigated using shell model and self-consistent Hartree-Fock calculations. In particular, elastic and inelastic electron scattering form factors, energy levels, and transition probabilities are calculated for positive and negative low-lying states. Two different shell model spaces have been used for this purpose. The first one is the psdpn model space for positive parity states and the second one is ${p}_{1/2}sd$ model space for negative parity states. For all selected excited states, Skyrme interactions are adopted to generate from them a one-body potential in Hartrre-Fock theory to calculate the single-particle matrix elements. The deduced results are discussed for the longitudinal and transverse form factors and compared with the available experimental data. It has been confirmed that combining the shell model plus Hartree-Fock mean field method with the Skyrme interaction can accommodate very well the nuclear excitation properties, and work better for low lying states than for higher excitations. Furthermore, the combination can be used to reproduce the positive and negative parity states after choosing the suitable model space, effective two-body interaction, and parameterization to reach highly descriptive and predictive results.