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

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.

arXiv comment26 pages, 6 figures

References in corpus (34)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Accurate nuclear radii and binding energies from a chiral interaction
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Thick-Restart Block Lanczos Method for Large-Scale Shell-Model Calculations
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• A nucleus-dependent valence-space approach to nuclear structure
• In-Medium Similarity Renormalization Group for Nuclei
• Many-body nuclear Hamiltonian: Ab exitu approach
• Shape transitions in exotic Si and S isotopes and tensor-force-driven Jahn-Teller effect
• Shell-model calculations and realistic effective interactions
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• Charge radii of exotic potassium isotopes challenge nuclear theory and the magic character of $N=32$
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Three-body monopole corrections to the realistic interactions
• Measurement and microscopic description of odd-even staggering of charge radii of exotic copper isotopes
• N3LO NN interaction adjusted to light nuclei in ab exitu approach
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Charge radii of exotic neon and magnesium isotopes
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Shell-model calculations for the three-nucleon system
• Open $sd$-shell nuclei from first principles
• Four-nucleon shell-model calculations in a Faddeev-like approach
• Ab initio effective interactions for sd-shell valence nucleons
• Neutron skin and signature of the $N$ = 14 shell gap found from measured proton radii of ${}^{17-22}$N
• Effective interactions in the sd shell
• First-principles results for electromagnetic properties of $sd$ shell nuclei
• Nuclear charge radii of Na isotopes: A tale of two theories
• Moments and Radii of exotic Na and Mg isotopes
• Coulomb excitation of the $\left|T_z\right|=\frac{1}{2}$, $A=23$ mirror pair
• The ab initio no-core shell model

Cited by in corpus (6)

• Prediction of the neutron drip line in oxygen isotopes using quantum computation
• Structure of odd-mass Ne, Na, and Mg nuclei
• Ab initio study of island of inversion in odd-$A$ nuclei: Structure of ${}^{31,33}$Mg
• Evolution of shell structure at $\mathbf{N}=32$ and 34: Insights from realistic nuclear forces
• Isoscalar, isovector and orbital contributions in $M1$ transitions from analogous $M1$ and Gamow-Teller transitions in $T=\frac{1}{2}$ mirror nuclei
• Ab initio no-core shell-model study of ${}^{20-23}$Na isotopes