Microscopic four-cluster description of the mirror nucleiLi9andC9

Abstract

The $^{9}\mathrm{C}$ and $^{9}\mathrm{Li}$ mirror nuclei are studied in a microscopic \ensuremath{\alpha}${+}^{3}$He+p+p and \ensuremath{\alpha}${+}^{3}$H+n+n four-cluster model using the stochastic variational method. The $^{7}\mathrm{\ensuremath{-}}^{7}$Li and $^{8}\mathrm{\ensuremath{-}}^{8}$Li mirror subsystems are also investigated with the same effective interaction. The calculated ground-state energies, the radii, and the densities of the nucleons are in good agreement with the experimental data. The magnetic and quadrupole moments, except for the magnetic moments of $^{8}\mathrm{B}$ and $^{8}\mathrm{Li}$, are also reproduced well. The quadrupole moments of $^{9}\mathrm{C}$ and $^{7}\mathrm{Be}$ are predicted to be -5.04 e${\mathrm{fm}}^{2}$ and -6.11 e${\mathrm{fm}}^{2}$. A possibility of the existence of neutron (proton) halo structure is studied.