Binding Energy, Root-Mean Square Radius and Magnetic Dipole Moment of the Nucleus 6 Li

Abstract

In this work, we have applied the translation invariant shell model with number of quanta of excitations N = 2 , 4 , 6 , 8 and 10 to define the ground-state eigenenergies and their corresponding normalized eigenstates, the root mean-square radius, and the magnetic dipole moment of the nucleus 6 Li. We have computed the necessary two-particle orbital fractional parentage coefficients for nuclei with mass number A = 6 and number of quanta of excitations N = 10 , which are not available in the literature. In addition, we have used our previous findings on the nucleon-nucleon interaction with Gaussian radial dependencies, which fits the deuteron characteristics as well as the triton binding energy, root-mean square radius and magnetic dipole moment. The numerical results obtained in this work are in excellent agreement with the corresponding experimental data and the previously published theoretical results in the literature.