Study of S, Cl and Ar isotopes with $N\ge Z$ using microscopic effective $sd$-shell interactions

Abstract

In the present work, newly developed microscopic effective $sd$-valence shell interactions such as chiral next-to-next-to-next-to-leading order (N3LO), $J$-matrix inverse scattering potential (JISP16), Daejeon16 (DJ16), and monopole-modified DJ16 (DJ16A) are employed to study the nuclear structural properties of sulphur, chlorine, and argon isotopes with $N\ge Z$. These interactions are derived using the \textit{ab initio} no-core shell-model and the OLS unitary transformation method. We calculate energy spectra and electromagnetic properties to test the predictive strength of the effective interactions for these heavier $sd$-shell nuclei. For a complete systematic study, we compare the microscopic results with the phenomenological USDB results and experimental data. By looking at the excitation energies of these nuclei, the DJ16A interaction is found to be {the} most suitable for these $sd$-shell nuclei among all microscopic interactions. The electric quadrupole transition strength and excitation energy of the first $2^{+}$ state data of even-even sulphur isotopes indicate the presence of the $N=20$ shell closure. Quadrupole moment predictions are also made using these interactions where experimental data are unknown. Magnetic moments are in excellent agreement with the experimental values. The root-mean-square deviations are also calculated to provide an idea of how accurate the interactions are.

14 pages, 7 figures, The European Physical Journal A-Hadrons and Nuclei (accepted)

References in corpus (13)

• Recent developments in no-core shell-model calculations
• A nucleus-dependent valence-space approach to nuclear structure
• In-Medium Similarity Renormalization Group for Nuclei
• Ab initio no-core full configuration calculations of light nuclei
• A new effective interaction for $0\hslash \omega$ shell model calculations in the sdpf valence space
• Effective operators within the ab initio no-core shell model
• Ab-initio shell model with a core
• Ab initio effective interactions for sd-shell valence nucleons
• Converging sequences in the ab initio no-core shell model
• Long- and short-range correlations in the ab-initio no-core shell model
• Ab initio no-core shell model description of ${}^{10-14}$C isotopes
• Nuclear Structure of the even-even Argon isotopes with a focus on magnetic moments
• Ab initio no-core shell model study of neutron-rich ${}^{18,19,20}$C isotopes

Cited by in corpus (3)

• Prediction of the neutron drip line in oxygen isotopes using quantum computation
• Electromagnetic moments in the Sn-Gd region determined within nuclear DFT
• Isoscalar, isovector and orbital contributions in $M1$ transitions from analogous $M1$ and Gamow-Teller transitions in $T=\frac{1}{2}$ mirror nuclei