Calculation of the Electric Quadrupole Moment of Li6 and Li7 in Shell Model and Cluster Model
Abstract
In this paper, we have investigated electric quadrupole moment of Li6 and Li7 in both shell model and cluster model. In shell model, the nuclei Li6 and Li7 can be modeled as one core plus nucleons. Nucleons outside the closed shell can be considered as a two- and three-particle system. In cluster structure, we have selected alpha clusters and triton or deuteron in interaction with alpha cluster (Li6 and Li7 involving α + H3 and α + H2 respectively). By solving Schrödinger equation and using suitable potential for interaction between particles by applying Nikiforov-Uvarov method, potential coefficients have been computed. Then, we have calculated the energy and wave function for nuclei Li6 and Li7 and compared the results obtained with experimental results. By having the wave function, we can obtain the quadrupole moment. These values are compared with predictions from shell-model and cluster-model calculations. Although the difference between them is small, the electric quadrupole moment results in the cluster model are in good agreement with experimental results.
Keywords: Electric quadrupole moment, Shell-model, Cluster-model, Li isotopes, Nonrelativistic equation.
