Electric Quadrupole Moment of 7Li nucleus using Complex Generator Co-ordinate Technique

Abstract

The electric quadrupole moment (EQM) of a nucleus is an important parameter used to determine the departure of the nucleus from its spherical shape. Besides the study of the nucleus, determination of the EQM value finds applications in solid state physics and in other areas such as chemical, medical and biological sciences. This paper focuses on a method developed for the calculation of nuclear structural properties of light nuclear systems which is used here to calculate the nuclear electric quadrupole moment for the ground state of 7lithium nucleus. In this approach the required anti-symmetrized nuclear wave function is constructed by using combination of shell model, cluster model, resonating group method, generator coordinate method, and the complex generator coordinate technique. The ground state of 7li nucleus is considered as a nuclear system consisting of one alpha cluster, one deuteron cluster and a neutron cluster. The wave function is written by taking internal spatial function, spin, and isospin functions where arguments of the internal function of clusters include the parameter coordinates and generator coordinates. The consideration of the parameters viz., total angular momentum, spin, and definite parity of the nucleus makes the approach inclusive. While the relative motion wave functions are taken into account between the alpha cluster and deuteron cluster and secondly between the alpha cluster and neutron cluster. The potential chosen in this approach is the Wood-Saxon potential which is somewhat between harmonic oscillator potential well and square well potential. By incorporating all the aforesaid inputs, a matrix of 7×7 order is constructed which leads to the calculation of EQM of 7lithium. The results compared with the available experimental and other theoretical data. The present value of EQM is found in good agreement with experimental data.