Ab initio study of structure and radii for $^{20-31}$Na

Subhrajit Sahoo, Praveen C. Srivastava, Toshio Suzuki

Published 2022-11-08Version 1

In this work, Na isotopes with mass varying from $A=$ 20 to 31 have been studied using different microscopic effective interactions in the $sd$-shell. These effective interactions are derived for $sd$-shell from microscopic NN and NNN potentials using {\it ab initio} approaches. The studies include a detailed analysis of ground state binding energy, low-lying spectra, and electromagnetic properties such as reduced electric quadrupole transition strengths, quadrupole and magnetic dipole moments of the Na chain. The results obtained from these microscopic effective interactions were compared with the experimental data as well as with the results of phenomenological interaction USDB. The charge radii of Na isotopes are evaluated using shell model harmonic oscillator wave functions. In addition to charge radii, matter radii and neutron skin thickness in the Na chain are discussed with a focus on neutron-deficient Na isotopes.