Analysis of the capture reaction using the shell model embedded in the continuum

Abstract We apply the realistic shell model which includes the coupling between many-particle (quasi-)bound states and the continuum of one-particle scattering states, called the Shell Model Embedded in the Continuum, to the spectroscopy of mirror nuclei: 17 F and 17 O, as well as to the description of low energy cross section (the astrophysical S factor) for E1, E2 and M1 components in the capture reaction 16 O (p,γ) 17 F . With the same microscopic input we calculate the phase shifts and differential cross section for the elastic scattering of protons on 16 O .