Deformed in-medium similarity renormalization group

Abstract

We have developed an {\it ab initio} deformed in-medium similarity renormalization group (IMSRG) for open-shell nuclei. This is a single-reference IMSRG in deformed Hartree-Fock (HF) basis. Deformed wave functions are more efficient in describing deformed nuclei. The broken spherical symmetry needs to be restored by angular momentum projection, which is computational expensive. The angular momentum mainly capture the static correlations and can be estimated by the projection of the HF state. In this work, we do deformed IMSRG calculation and add the correlation energy from projected HF as a leading order approximation. As the test ground, we have calculated the deformed ${}^{8,10}\mathrm{Be}$ isotopes with the optimized chiral interaction NNLO${}_{\mathrm{opt}}$. The results are benchmarked with the no-core shell model and valence space IMSRG calculations. Then we systematically investigated the ground-state energies and charge radii of even-even isotopes from light beryllium to medium-mass magnesium. The calculated energies are extrapolated to infinite basis space by an exponential form, and compared with the extrapolated valence-space IMSRG results and experimental data available.

References in corpus (15)

• A nucleus-dependent valence-space approach to nuclear structure
• In-Medium Similarity Renormalization Group for Nuclei
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Proton distribution radii of ${}^{12-19}$C illuminate features of neutron halos
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• An {\it ab-initio} Gamow shell model approach with a core
• Chiral three-nucleon force and continuum for dripline nuclei and beyond
• Frequency-comb based collinear laser spectroscopy of Be for nuclear structure investigations and many-body QED tests
• Continuum and three-nucleon force in Borromean system: The 17Ne case

Cited by in corpus (8)

• What is ab initio in nuclear theory?
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• Recent progress in configuration-interaction shell model
• Ab initio calculations of anomalous seniority breaking in the $\pi g_{9/2}$ shell for the $N=50$ isotones
• Least-square approach for singular value decompositions of scattering problems
• Spectroscopic factor calculations in the \textit{ab initio} no-core shell model
• Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions
• Deformed natural orbitals for ab initio calculations