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 (48)

• Quantum Monte Carlo methods for nuclear physics
• Coupled-cluster computations of atomic nuclei
• Self-consistent Green's function method for nuclei and nuclear matter
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Charge, neutron, and weak size of the atomic nucleus
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• A nucleus-dependent valence-space approach to nuclear structure
• In-Medium Similarity Renormalization Group for Nuclei
• Similarity-Transformed Chiral NN+3N Interactions for the Ab Initio Description of 12-C and 16-O
• Ab initio limits of atomic nuclei
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two- Plus Three-Nucleon Interactions
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• The Magnus expansion and the in-medium similarity renormalization group
• Collective Modes in Light Nuclei from First Principles
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• 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
• A numerical canonical transformation approach to quantum many body problems
• Proton distribution radii of ${}^{12-19}$C illuminate features of neutron halos
• Physics of nuclei: Key role of an emergent symmetry
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Effective shell-model hamiltonians from realistic nucleon-nucleon potentials within a perturbative approach
• Charge radii of exotic neon and magnesium isotopes
• Bogoliubov Many-Body Perturbation Theory for Open-Shell Nuclei
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Hartree-Fock Many-Body Perturbation Theory for Nuclear Ground-States
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Testing microscopically derived descriptions of nuclear collectivity: Coulomb excitation of 22Mg
• Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
• Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
• $Ab$ $initio$ nuclear many-body perturbation calculations in the Hartree-Fock basis
• Shell-model coupled-cluster method for open-shell nuclei
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• An {\it ab-initio} Gamow shell model approach with a core
• Collective rotation from ab initio theory
• 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
• Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• Isotope shifts in ${}^{20,22}$Ne -- Precision measurements and global analysis in the framework of intermediate coupling
• Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions
• Coulomb excitation of the $\left|T_z\right|=\frac{1}{2}$, $A=23$ mirror pair

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