Structure of $^{14}$C and $^{14}$O nuclei within a five-cluster model

TL;DR

This study models the structure of $^{14}$C and $^{14}$O nuclei using a five-particle cluster approach, calculating energies, wave functions, and various physical properties to understand their internal configurations.

Contribution

It introduces a five-cluster model for $^{14}$C and $^{14}$O nuclei, providing detailed calculations of their structure and properties using a variational approach with Gaussian bases.

Findings

Identified two spatial configurations in the ground state

Predicted charge radius of $^{14}$O as 2.415 fm

Analyzed pair correlation functions and momentum distributions

Abstract

Within a five-particle model (three $\alpha$-particles plus two nucleons), the structure functions of mirror nuclei $^{14}$C and $^{14}$O are studied. Using the variational approach with Gaussian bases, the energies and wave functions are calculated for these five-particle systems. Two spatial configurations in the ground-state wave function are revealed. The r.m.s. charge radius of $^{14}$O nucleus is found to be $2.415\pm0.005$ fm. The charge density distributions and the form factors of both nuclei are predicted. The pair correlation functions are analyzed, and the r.m.s. relative distances are calculated. The momentum distributions of particles are found.