Ab initio computations of strongly deformed nuclei around ${}^{80}$Zr

Abstract

Nuclei around $N\approx Z\approx 40$ are strongly deformed and exhibit coexistence of shapes. These phenomena have challenged nuclear models. Here we perform ab initio coupled-cluster computations of low-lying collective states and electromagnetic quadrupole transitions of the even-even nuclei ${}^{72}$Kr, ${}^{76,78}$Sr, ${}^{78,80}$Zr and ${}^{84}$Mo starting from chiral nucleon-nucleon and three-nucleon forces. Our calculations reproduce the coexistence of oblate and prolate shapes in these nuclei, yield rotational bands and strong electromagnetic transitions, but are not accurate for some observables and nuclei. These results highlight the advances and challenges of ab initio computations of heavy deformed nuclei.

arXiv comment10 pages

References in corpus (53)

• Nuclear ground-state masses and deformations: FRDM(2012)
• Improved nuclear matter calculations from chiral low-momentum interactions
• Tables of E2 Transition Probabilities from the first $2^{+}$ States in Even-Even Nuclei
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Charge, neutron, and weak size of the atomic nucleus
• Shape Coexistence and the Effective Nucleon-Nucleon Interaction
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
• Saturation with chiral interactions and consequences for finite nuclei
• Coupled-cluster theory for three-body Hamiltonians
• Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Structure of ${}^{78}$Ni from first principles computations
• Measurement and microscopic description of odd-even staggering of charge radii of exotic copper isotopes
• Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations
• Deformation of the N=Z nucleus 76Sr using beta-decay studies
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Charge radii of exotic neon and magnesium isotopes
• Nilsson-SU3 selfconsistency in heavy N=Z nuclei
• Augmented Lagrangian Method for Constrained Nuclear Density Functional Theory
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Projected Coupled Cluster Theory
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• What is ab initio in nuclear theory?
• Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
• Ab-initio computation of neutron-rich oxygen isotopes
• Particle-number projected Bogoliubov coupled cluster theory. Application to the pairing Hamiltonian
• Separating the impact of nuclear skin and nuclear deformation in high-energy isobar collisions
• Systematics of E2 strength in the sd-shell with the valence-space in-medium similarity renormalization group
• Phase transition in exotic nuclei along the $N=Z$ line
• Projected shell model study on nuclei near the N = Z line
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Error Analysis in Nuclear Density Functional Theory
• \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
• Observation of mutually enhanced collectivity in self-conjugate ${}_{38}^{76}$Sr${}_{38}$
• Multiple shape coexistence in the nucleus ${}^{80}$Zr
• In-medium $k$-body reduction of $n$-body operators
• Axially-deformed solution of the Skyrme-Hartree-Fock-Bogoliubov equations using the transformed harmonic oscillator basis (IV) hfbtho (v4.0): A new version of the program
• Lightweight self-conjugate nucleus ${}^{80}$Zr
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
• Ab initio structure factors for spin-dependent dark matter direct detection
• Shape evolution of Zr nuclei and roles of tensor force
• Shape coexistence revealed in the $N=Z$ isotope ${}^{72}$Kr through inelastic scattering
• Projected Coupled Cluster Theory: Optimization of cluster amplitudes in the presence of symmetry projection
• Shape coexistence and triaxiality in nuclei near 80Zr
• Effective field theory for deformed odd-mass nuclei
• How to renormalize coupled cluster theory

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• Spin-Triplet Pairing in Heavy Nuclei is Stable Against Deformation
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