Continuum shell-model calculation for 14C including core excitations

Abstract

Elastic and inelastic cross sections for neutron scattering on 13C have been calculated up to 10 MeV including excitations of the 12C core. The core properties are taken from experiment while the additional neutrons are described in a shell-model basis. Antisymmetrization between the valence particles and the core is taken into account as a second-order perturbation effect. All results including those for the target and the bound states of 14C are compared to experimental data. The differences between a gaussian and a δ interaction for the valence particles is investigated. The calculation was only feasible with a modified continuum shell model, i.e. approximating the single-particle resonances by bound states. The remaining modified continuum states are damped in amplitude within the resonance region. The residual interaction between modified continuum states is neglected.