Effective interactions in the sd shell

Abstract

We perform a quantitative study of the microscopic effective shell-model interactions in the valence sd shell, obtained from modern nucleon-nucleon potentials, chiral N3LO, JISP16 and Daejeon16, using No-Core Shell-Model wave functions and the Okubo-Lee-Suzuki transformation. We investigate the monopole properties of those interactions in comparison with the phenomenological universal sd-shell interaction, USDB. Theoretical binding energies and low-energy spectra of O isotopes and of selected sd-shell nuclei, are presented. We conclude that there is a noticeable improvement in the quality of the effective interaction when it is derived from the Daejeon16 potential. We show that its proton-neutron centroids are consistent with those from USDB. We then propose monopole modifications of the Daejeon16 centroids in order to provide an adjusted interaction yielding significantly improved agreement with the experiment. A spin-tensor decomposition of two-body effective interactions is applied in order to extract more information on the structure of the centroids and to understand the reason for deficiencies arising from our current theoretical approximations. The issue of the possible role of the three-nucleon forces is addressed.

arXiv comment22 pages, 13 figures

References in corpus (35)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Modern Theory of Nuclear Forces
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The Shell Model as Unified View of Nuclear Structure
• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• Three-body forces and the limit of oxygen isotopes
• Shell model study of the isobaric chains A=50, A=51 and A=52
• The realistic collective nuclear Hamiltonian
• A nucleus-dependent valence-space approach to nuclear structure
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Ab initio no-core full configuration calculations of light nuclei
• Many-body nuclear Hamiltonian: Ab exitu approach
• Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two- Plus Three-Nucleon Interactions
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• Three-body forces and shell structure in calcium isotopes
• Three-body monopole corrections to the realistic interactions
• 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
• Exploring sd-shell nuclei from two- and three-nucleon interactions with realistic saturation properties
• Shell evolution and nuclear forces
• Ab initio nuclear structure simulations: the speculative ${}^{14}$F nucleus
• Accelerating Nuclear Configuration Interaction Calculations through a Preconditioned Block Iterative Eigensolver
• Ab initio effective interactions for sd-shell valence nucleons
• Shell Model States in the Continuum
• Realistic shell-model calculations for p-shell nuclei including contributions of a chiral three-body force
• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Spectroscopy of ${}^{26}$F to probe proton-neutron forces close to the drip line
• $Abinitio$ calculations for Gamow-Teller strengths in $sd$ shell
• First-principles results for electromagnetic properties of $sd$ shell nuclei
• Effective proton-neutron interaction near the drip line from unbound states in ${}^{25,26}$F
• Shell-model phenomenology of low-momentum interactions
• Effective operators in two-nucleon systems
• Ab Initio Structure of p-Shell Nuclei with Chiral Effective Field Theory and Daejeon16 Interactions

Cited by in corpus (22)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• The Neutron-Rich Edge of the Nuclear Landscape. Experiment and Theory
• Self-consistent Green's function theory for atomic nuclei
• From bound states to the continuum
• Ab initio nuclear thermodynamics
• Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• Second-forbidden nonunique ${\beta }^{-}$ decays of ${}^{24}$Na and ${}^{36}$Cl assessed by the nuclear shell model
• Prediction of the neutron drip line in oxygen isotopes using quantum computation
• Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions
• Demonstration of the Rodeo Algorithm on a Quantum Computer
• Ab initio no-core shell model study of ${}^{18-23}$O and ${}^{18-24}$F isotopes
• Study of structure and radii for ${}^{20-31}$Na isotopes using microscopic interactions
• Identifying the spin trapped character of the ${}^{32}$Si isomeric state
• Nuclear structure properties of Si and P isotopes with the microscopic effective interactions
• Study of S, Cl and Ar isotopes with $N\ge Z$ using microscopic effective $sd$-shell interactions
• Daejeon16 interaction with contact-term corrections for heavy nuclear systems
• Evolution of shell structure at $\mathbf{N}=32$ and 34: Insights from realistic nuclear forces
• Controlled Gate Networks: Theory and Application to Eigenvalue Estimation
• Isoscalar, isovector and orbital contributions in $M1$ transitions from analogous $M1$ and Gamow-Teller transitions in $T=\frac{1}{2}$ mirror nuclei
• Weak interaction rates of $sd$-shell Urca pairs in stellar environment using a shell-model approach
• Description of the proton-decaying 0${}_2^{+}$ resonance of the $\alpha$ particle