Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg

Abstract

Single-reference coupled-cluster theory is an accurate and affordable computational method for the nuclear many-body problem. For open-shell nuclei, the reference state typically breaks rotational invariance and angular momentum must be restored as a good quantum number. We perform angular-momentum projection after variation and employ the disentangled coupled-cluster formalism and a Hermitian approach. We compare our results with benchmarks for ${}^8$Be and ${}^{20}$Ne using a two-nucleon interaction from chiral effective field theory and for $pf$-shell nuclei within the traditional shell model. We compute the rotational band in the exotic nucleus ${}^{34}$Mg and find agreement with data.

23 pages, 12 figures

References in corpus (23)

• Chiral effective field theory and nuclear forces
• Exotic modes of excitation in atomic nuclei far from stability
• Three-body forces: From cold atoms to nuclei
• A nucleus-dependent valence-space approach to nuclear structure
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• In-Medium Similarity Renormalization Group for Nuclei
• Coupled-cluster theory for three-body Hamiltonians
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Separation of Dynamic and Nondynamic Correlation
• Proton distribution radii of ${}^{12-19}$C illuminate features of neutron halos
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Solution of the center-of-mass problem in nuclear structure calculations
• Delta-excitations and the three-nucleon force
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• In-medium similarity renormalization group with three-body operators
• Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
• Effective theory for deformed nuclei
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Electron-scattering form factors for 6Li in the ab initio symmetry-guided framework
• Effective field theory for triaxially deformed nuclei

Cited by in corpus (47)

• What is ab initio in nuclear theory?
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• Measures of complexity and entanglement in fermionic many-body systems
• Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report
• Impact of two-body currents on magnetic dipole moments of nuclei
• Towards heavy-mass ab initio nuclear structure: Open-shell Ca, Ni and Sn isotopes from Bogoliubov coupled-cluster theory
• Multiscale physics of atomic nuclei from first principles
• Ab initio computations of strongly deformed nuclei around ${}^{80}$Zr
• Deformed in-medium similarity renormalization group
• Zero- and finite-temperature electromagnetic strength distributions in closed- and open-shell nuclei from first principles
• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Spectroscopy of N=50 isotones with the valence-space density matrix renormalization group
• Electromagnetic observables of open-shell nuclei from coupled-cluster theory
• Ab initio computations from ${}^{78}$Ni towards ${}^{70}$Ca along neutron number $N=50$
• Electric dipole polarizability of ${}^{58}$Ni
• Magnetic dipole transition in ${}^{48}$Ca
• Coupled-cluster theory for strong entanglement in nuclei
• Impact of correlations on nuclear binding energies
• Least-square approach for singular value decompositions of scattering problems
• Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• Symmetry restoration methods
• Ab initio calculations of overlap integrals for $\mu \to e$ conversion in nuclei
• Perspectives on few-body cluster structures in exotic nuclei
• Structure of odd-mass Ne, Na, and Mg nuclei
• Nuclear Schiff Moments and CP Violation
• $SO(3)$ quadratures in angular-momentum projection
• Bayesian approach for many-body uncertainties in nuclear structure: Many-body perturbation theory for finite nuclei
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Symmetry-restored Skyrme-Random-Phase-Approximation calculations of the monopole strength in deformed nuclei
• How do mirror charge radii constrain density dependence of the symmetry energy?
• Modewise Johnson-Lindenstrauss Embeddings for Nuclear Many-Body Theory
• Effective field theories for collective excitations of atomic nuclei
• Ab initio study of island of inversion in odd-$A$ nuclei: Structure of ${}^{31,33}$Mg
• Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions
• Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States
• Ab initio Bogoliubov many-body perturbation theory: closed-form constraint on the average particle number
• Bayesian method for fitting the low-energy constants in chiral perturbation theory
• Mean-field approximation on steroids: exact description of the deuteron
• Bridging reaction theory and nuclear structure in ${\pi }^{\pm }$-${}^{48}$Ca scattering
• From closed shells to open shells: Coupled-cluster calculations of atomic nuclei
• Chiral interactions and superfluidity in the calcium isotopic chain
• Ab initio study in the island of inversion within the two-major-shell valence space
• Ab initio calculations of nuclear charge radii across and beyond ${}^{132}$Sn: Putting chiral EFT nuclear interactions to the test
• Symmetry breaking and restoration on a fermionic quantum ring
• Deformed natural orbitals for ab initio calculations