Correlations beyond the mean field in Magnesium isotopes: Angular momentum projection and configuration mixing

Abstract

The quadrupole deformation properties of the ground and low-lying excited states of the even-even Magnesium isotopes with N ranging from 8 to 28 have been studied in the framework of the angular momentum projected generator coordinate method with the Gogny force. It is shown that the N=8 neutron magic number is preserved (in a dynamical sense) in \nuc{20}{Mg} leading to a spherical ground state. For the magic numbers N=20 and N=28 this is not the case and prolate deformed ground states are obtained. The method yields values of the two neutron separation energies which are in much better agreement with experiment than those obtained at the mean field level. It is also obtained that \nuc{40}{Mg} is at the neutron dripline. Concerning the results for the excitation energies of the $2^{+}$ excited states and their transition probabilities to the ground state we observe a good agreement with the available experimental data. On the theoretical side, we also present a detailed justification of the prescription used for the density dependent part of the interaction in our beyond-mean-field calculations.

41 pages, 13 figures

Cited by in corpus (136)

• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Global systematics of octupole excitations in even-even nuclei
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Global study of quadrupole correlation effects
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Fission half-lives of super-heavy nuclei in a microscopic approach
• Discovery of the shape coexisting 0+ state in 32Mg by a two neutron transfer reaction
• Configuration Mixing within the Energy Density Functional Formalism: Removing Spurious Contributions from Non-Diagonal Energy Kernels
• Open Problems in Understanding the Nuclear Chirality
• The sign of the overlap of HFB wave functions
• Symmetry restoration in mean-field approaches
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. III: Role of particle-number projection
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• Microscopic description of cluster radioactivity in actinide nuclei
• Three-dimensional angular momentum projection in relativistic mean-field theory
• 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
• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Determination of the structure of ${}^{31}$Ne by full-microscopic framework
• Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
• Mean field study of structural changes in Pt isotopes with the Gogny interaction
• Ground-state properties of neutron-rich Mg isotopes
• Beyond-mean-field-model analysis of low-spin normal-deformed and superdeformed collective states of S32, Ar36, Ar38 and Ca40
• Electromagnetic transition strengths in soft deformed nuclei
• Deformation of Ne isotopes in the island-of-inversion region
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Microscopic description of fission in Uranium isotopes with the Gogny energy density functional
• Microscopic and non-adiabatic Schrödinger equation derived from the Generator Coordinate Method based on 0 and 2 quasiparticle HFB states
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Pairing effects on the collectivity of quadrupole states around 32Mg
• Collective structural evolution in neutron-rich Yb, Hf, W, Os and Pt isotopes
• Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes
• Symmetry conserving configuration mixing method with cranked states
• Structure of Krypton isotopes calculated with symmetry conserving configuration mixing methods
• Shape coexistence near the neutron number N=20: First identification of the E0 decay from the deformed 0^+_2 state in 30Mg
• Deformation effect on total reaction cross sections for neutron-rich Ne-isotopes
• Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force
• "Safe" Coulomb Excitation of 30Mg
• Rotating deformed halo nuclei and shape decoupling effects
• Microscopic description of quadrupole-octupole coupling in Sm and Gd isotopes with the Gogny Energy Density Functional
• Remarks on the use of projected densities in the density dependent part of Skyrme or Gogny functionals
• Shape evolution and shape coexistence in Pt isotopes: comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces
• The time-dependent generator coordinate method in nuclear physics
• Systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes with the Gogny energy density functional
• Quadrupole and octupole collectivity and cluster structures in neon isotopes
• Multi-reference symmetry-projected variational approaches for ground and excited states of the one-dimensional Hubbard model
• Shape fluctuations in the ground and excited 0+ states of 30Mg and 32Mg
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
• Structural evolution in germanium and selenium nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
• Multiple shape coexistence in the nucleus ${}^{80}$Zr
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• A beyond mean field analysis of the shape transition in the Neodymium isotopes
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Isospin-symmetry restoration within the nuclear density functional theory: formalism and applications
• Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian
• Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using coordinate-space Green's function method
• On the origin of the anomalous behaviour of 2+ excitation energies in the neutron-rich Cd isotopes
• Application of Gaussian expansion method to nuclear mean-field calculations with deformation
• Intertwined effects of pairing and deformation on neutron halos in magnesium isotopes
• Microscopic description of fission in superheavy nuclei with the parametrization D1M${}^{\ast }$ of the Gogny energy density functional
• New parameterization of Skyrme's interaction for regularized multi-reference energy density functional calculations
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Numerical accuracy of mean-field calculations in coordinate space
• Neutrinoless $\beta \beta$ decay nuclear matrix elements in an isotopic chain
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• Beyond mean-field study of elastic and inelastic electron scattering off nuclei
• Configuration interaction in symmetry-conserving covariant density functional theory
• Octupole correlations in low-lying states of 150Nd and 150Sm and their impact on neutrinoless double-beta decay
• Large amplitude pairing fluctuations in atomic nuclei
• Extinction of the N=20 neutron-shell closure for 32Mg examined by direct mass measurements
• Charge- and parity-projected Hartree-Fock method for the strong tensor correlation and its application to the alpha particle
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Low-lying spectroscopy of a few even-even silicon isotopes investigated by means of the multiparticle-multihole Gogny energy density functional
• Triaxial quadrupole deformation dynamics in sd-shell nuclei around 26Mg
• Multiscale physics of atomic nuclei from first principles
• Technical aspects of the evaluation of the overlap of Hartree- Fock- Bogoliubov wave functions
• Hartree-Fock-Bogoliubov theory for odd-mass nuclei with a time-odd constraint and application to deformed halo nuclei
• Cluster structures in ${}^{12}$C from global energy density functionals
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Neutrinoless double beta decay studied with configuration mixing methods
• Structure of krypton isotopes within the interacting boson model derived from the Gogny energy density functional
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• Quadrupole Collective Dynamics from Energy Density Functionals: Collective Hamiltonian and the Interacting Boson Model
• Evolution of E2 transition strength in deformed hafnium isotopes from new measurements on ${}^{172}$Hf, ${}^{174}$Hf, and ${}^{176}$Hf
• Three-dimensional angular momentum projected relativistic point-coupling approach for the low-lying excited states in ${}^{24}$Mg
• Microscopic description of quadrupole-octupole coupling in actinides with the Gogny-D1M energy density functional
• Least action description of spontaneous fission in fermium and nobelium nuclei based on the Gogny energy density functional
• Pygmy dipole mode in deformed neutron-rich Mg isotopes close to the drip line
• Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Calculation of nuclear matrix elements in neutrinoless double electron capture
• Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes
• Low-frequency $K^{\pi }=0^{+}$ modes in deformed neutron-rich nuclei: Pairing- and $\beta$-vibrational modes of neutron
• Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopes
• Observation of excited states in ${}^{20}$Mg sheds light on nuclear forces and shell evolution
• Skyrme-QRPA calculations for low-lying excitation modes in deformed neutron-rich nuclei
• Efficient method to perform quantum number projection and configuration mixing for most general mean-field states
• Variational description of the ground state of the repulsive two-dimensional Hubbard model in terms of nonorthogonal symmetry-projected Slater determinants
• Symmetry Conserving Configuration Mixing description of odd mass nuclei
• Nuclear states projected from a pair condensate
• A new picture for the chiral symmetry properties within a particle-core framework
• Description of the superdeformed band of ${}^{36}$Ar with the Gogny force
• Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands
• Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations
• Enhancement of octupole strength in near spherical nuclei
• Configuration interaction projected density functional theory: effects of four-quasiparticle configurations and time-odd interactions
• Quantum algorithms for generator coordinate methods
• Simultaneous analysis of matter radii, transition probabilities, and excitation energies of Mg isotopes by angular-momentum-projected configuration-mixing calculations
• Modern applications of covariant density functional theory
• Operator overlaps in harmonic oscillator bases with different oscillator lengths
• Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
• Multi-reference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Nuclear structure far from stability
• Unleashed from Constrained Optimization: Quantum Computing for Quantum Chemistry Employing Generator Coordinate Inspired Method
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• Least action description of dynamic pairing correlations in the fission of Curium and Californium isotopes based on the Gogny energy density functional
• Charge-exchange dipole excitations in deformed nuclei
• Symmetry restoration for odd-mass nuclei with a Skyrme energy density functional
• Generator coordinate method with proton--neutron pairing fluctuations and magnetic properties of $N=Z$ odd--odd nuclei
• Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal
• Cranked Skyrme-Hartree-Fock-Bogoliubov approach for a mean-field description of nuclear rotations near the drip line
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations
• Microscopic description of spontaneous fission based on a Gogny energy density functional including tensor contributions
• Analysis of Peierls-Yoccoz rotational energy of nuclei with semi-realistic interaction
• Enhanced moments of inertia for rotation in neutron-rich nuclei
• Parity-projected Skyrme Hartree-Fock and angular momentum projection approach to Mg isotopes
• Low-lying states in ${}^{30}$Mg: a beyond relativistic mean-field investigation
• Pairing effects on pure rotational energy of nuclei