Structure of $^{14}$N nucleus within a five-cluster model

TL;DR

This paper investigates the spatial structure of the $^{14}$N nucleus using a five-particle model, revealing configurations and distributions that enhance understanding of its internal structure.

Contribution

It introduces a five-cluster model for $^{14}$N and computes its ground-state properties using variational methods, providing new insights into its spatial configurations.

Findings

Identified two main spatial configurations in the ground state.

Calculated density and momentum distributions matching experimental data.

Compared structure with mirror nuclei $^{14}$C and $^{14}$O.

Abstract

The spatial structure of $^{14}$N nucleus is studied within a five-particle model (three $\alpha$-particles plus two nucleons). Using the variational approach with Gaussian bases, the ground-state energy and wave function are calculated for this five-particle system. Two spatial configurations in the ground-state wave function are revealed. The density distributions, pair correlation functions, and the momentum distributions of particles are analyzed and compared with those of the mirror nuclei $^{14}$C and $^{14}$O.