Study of structure and radii for $^{20-31}$Na isotopes using microscopic interactions

TL;DR

This study investigates the structure and radii of sodium isotopes from A=20 to 31 using various microscopic interactions and compares the results with experimental data and phenomenological models.

Contribution

It introduces the use of microscopic effective interactions derived via no-core shell model and IMSRG methods for detailed sodium isotope analysis.

Findings

Microscopic interactions accurately reproduce experimental binding energies.

Calculated charge and matter radii agree with experimental measurements.

Neutron skin thickness varies with isotope neutron number.

Abstract

In this work, Na isotopes with mass varying from $A=$ 20 to 31 have been studied using DJ16A, JISP16 and N3LO microscopic effective interactions in the $sd$-shell. These effective interactions are derived for $sd$-shell using no-core shell model wavefunctions and a unitary transformation method. We have also performed calculation with IMSRG effective interactions targeted for a particular nucleus. 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.