Ab initio calculations of nuclear charge radii across and beyond ${}^{132}$Sn: Putting chiral EFT nuclear interactions to the test

Abstract

Charge radii are investigated along the Tin isotopic chain via ab initio Bogoliubov coupled cluster calculations at the singles and doubles level. In addition to the reproduction of absolute radii, the parabolic behavior of isotopic shifts between the N = 50 and N = 82 magic numbers and the kink through ${}^{132}$Sn are shown to provide stringent tests for state-of-the-art chiral effective field theory ($\chi$EFT) inter-nucleon interactions. Indeed, none of the employed fine-tuned interactions can capture all such key characteristics. Eventually, the pronounced sensitivity of the results to the employed Hamiltonian beyond ${}^{132}$Sn provides a unique playground to pin down critical attributes of $\chi$EFT inter-nucleon interactions in the future. This calls for measuring isotopic shifts both towards ${}^{100}$Sn and beyond ${}^{134}$Sn, as well as for performing high-accuracy ab initio calculations of mean-square radii in heavy open-shell nuclei by adding both triples corrections to the many-body wave function and the two-body charge density correction to the operator

arXiv commentpublished version, 7 pages, 5 figures

References in corpus (43)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Coupled-cluster computations of atomic nuclei
• Accurate nuclear radii and binding energies from a chiral interaction
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Saturation with chiral interactions and consequences for finite nuclei
• Nuclear Sizes and the Isotope Shift
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Charge radii of exotic potassium isotopes challenge nuclear theory and the magic character of $N=32$
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Converged ab initio calculations of heavy nuclei
• Quasiparticle Coupled Cluster Theory for Pairing Interactions
• Charge radii of exotic neon and magnesium isotopes
• Bogoliubov Many-Body Perturbation Theory for Open-Shell Nuclei
• First principles description of the giant dipole resonance in 16O
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• The effect of spin-orbit nuclear charge density corrections due to the anomalous magnetic moment on halonuclei
• Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
• Ab initio computation of charge densities for Sn and Xe isotopes
• Electric dipole polarizability from first principles calculations
• \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
• Impact of two-body currents on magnetic dipole moments of nuclei
• Probing new bosons and nuclear structure with ytterbium isotope shifts
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
• Towards heavy-mass ab initio nuclear structure: Open-shell Ca, Ni and Sn isotopes from Bogoliubov coupled-cluster theory
• Electromagnetic Properties of Indium Isotopes Elucidate the Doubly Magic Character of ${}^{100}$Sn
• Improved structure of calcium isotopes from ab initio calculations
• Zero-pairing limit of Hartree-Fock-Bogoliubov reference states
• Spectroscopy of N=50 isotones with the valence-space density matrix renormalization group
• Electromagnetic observables of open-shell nuclei from coupled-cluster theory
• 16O electroweak response functions from first principles
• The nuclear charge radius of ${}^{13}\mathrm{C}$
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• Ab initio calculations of overlap integrals for $\mu \to e$ conversion in nuclei
• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• High-Precision Ab Initio Radius Calculations of Boron Isotopes