Structure of light 13C and 13N nuclei in the framework of many body shell model

In this work the systematic investigation of structure of13C and 13N nuclei in the framework of standard and translation-invariant shell model with the account of 2p- shell is presented. The wave functions of ground state of 13C and 13N nuclei and corresponding expressions for magnetic moments μ(13C), μ(13N), log ft for β-decay 13N → 13C, the longitudinal FL2(q) and transversal FT2(q) form factors of elastic electron scattering on the 13C nucleus expressed through transition density were obtained. The radial wave functions with account of 2p-state were calculated for the Woods - Saxon potential by Stourm-Liouville method. The influence of change of nucleon form factor in the nuclear medium on the value of nuclear form factor was investigated. (author). 14 refs. 2 figs