Structure of ${}^{14}$C and ${}^{14}$O nuclei calculated in the variational approach

Abstract

The structure of mirror ${}^{14}$C and ${}^{14}$O nuclei has been studied in the framework of the five-particle model (three $\alpha$-particles and two nucleons). Interaction potentials are proposed, which allowed the energy and radius of ${}^{14}$C nucleus, as well as the energy of ${}^{14}$O one, to agree with experimental data. On the basis of the variational approach with the use of Gaussian bases, the energies and wave functions for five-particle systems under consideration are calculated. The charge radius of ${}^{14}$O nucleus, as well as the charge density distributions and the form factors for both nuclei, are predicted.