Open $sd$-shell nuclei from first principles

Abstract

We extend the ab initio coupled-cluster effective interaction (CCEI) method to deformed open-shell nuclei with protons and neutrons in the valence space, and compute binding energies and excited states of isotopes of neon and magnesium. We employ a nucleon-nucleon and three-nucleon interaction from chiral effective field theory evolved to a lower cutoff via a similarity renormalization group transformation. We find good agreement with experiment for binding energies and spectra, while charge radii of neon isotopes are underestimated. For the deformed nuclei ${}^{20}$Ne and ${}^{24}$Mg we reproduce rotational bands and electric quadrupole transitions within uncertainties estimated from an effective field theory for deformed nuclei, thereby demonstrating that collective phenomena in $sd$-shell nuclei emerge from complex ab initio calculations.

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• Ab initio coupled-cluster theory for open-shell nuclei
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Ab initio effective interactions for sd-shell valence nucleons
• Effective theory for deformed nuclei
• Effective operators from exact many-body renormalization
• Collective rotation from ab initio theory
• Effective theory for the non-rigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei
• Geometry of effective Hamiltonians

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• Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group
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• Ab Initio Excited States from the In-Medium Similarity Renormalization Group
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• Ab-initio coupled-cluster calculations of ground and dipole excited states in 8He
• Isotope shifts in ${}^{20,22}$Ne -- Precision measurements and global analysis in the framework of intermediate coupling
• $Abinitio$ calculations for Gamow-Teller strengths in $sd$ shell
• First-principles results for electromagnetic properties of $sd$ shell nuclei
• Disappearance of nuclear deformation in hypernuclei: a perspective from a beyond-mean-field study
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• Observation of excited states in ${}^{20}$Mg sheds light on nuclear forces and shell evolution
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• Shell-model interactions from chiral effective field theory
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• Effective field theory for vibrations in odd-mass nuclei
• Shell model results for nuclear ${\beta }^{-}$-decay properties of $sd$ shell nuclei
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Ab-initio no-core shell model study of ${}^{18-24}$Ne isotopes
• Computational Nuclear Physics and Post Hartree-Fock Methods
• Spectroscopic factor strengths using $abinitio$ approaches
• Study of structure and radii for ${}^{20-31}$Na isotopes using microscopic interactions
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• Spectroscopic study of ${}^{47}$Ca from the ${\beta }^{-}$ decay of ${}^{47}$K
• Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering
• 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
• $Abinitio$ description of collectivity for $sd$ shell nuclei
• 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
• Structure models: from shell model to ab initio methods