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

## TL;DR

This paper models the structure of mirror nuclei $^{14}$C and $^{14}$O using a five-particle variational approach, predicting energies, radii, and charge distributions consistent with experimental data.

## Contribution

It introduces specific interaction potentials and applies a variational Gaussian basis method to accurately calculate properties of $^{14}$C and $^{14}$O nuclei.

## Key findings

- Calculated energies and radii match experimental data.
- Predicted charge radius and density distributions for $^{14}$O.
- Provided wave functions for the five-particle systems.

## 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.