Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei

Abstract

We present a comprehensive study of low-lying states in even-even Ne, Mg, Si, S, Ar isotopes with the multireference density functional theory (MR-DFT) based on a relativistic point-coupling energy density functional (EDF). Beyond mean-field (BMF) effects are taken into account by configuration mixing of both particle-number and angular-momentum projected axially deformed states with generator coordinate method (GCM). Global performance of the MR-DFT for the properties of both ground state and of the first $2^{+},4^{+}$ states is examined, in comparison with previous studies based on nonrelativistic EDFs and available data. Our results indicate that an EDF parameterized at the BMF level is demanded to achieve a quantitative description.

References in corpus (28)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Collapse of the N=28 shell closure in ${}^{42}$Si
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• The sign of the overlap of HFB wave functions
• Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Systematics of the first 2+ excitation with the Gogny interaction
• Energy Density Functional analysis of shape evolution in N=28 isotones
• Density Functional Theory studies of cluster states in nuclei
• Symmetry conserving configuration mixing method with cranked states
• Global dynamical correlation energies in covariant density functional theory: cranking approximation
• Time-odd triaxial relativistic mean field approach for nuclear magnetic moments
• Beyond-mean-field study of the possible "bubble" structure of 34Si
• Does a proton "bubble" structure exist in the low-lying states of 34Si?
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
• Nature of isomerism in exotic sulfur isotopes
• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
• Variational multiparticle-multihole configuration mixing method applied to pairing correlations in nuclei
• Searching for 4$\alpha$ linear-chain structure in excited states of ${}^{16}$O with a covariant density functional theory
• Low-energy structure and anti-bubble effect of dynamical correlations in 46Ar
• Beyond mean-field study of elastic and inelastic electron scattering off nuclei
• Clusters in Light Nuclei

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