Beyond relativistic mean-field approach for nuclear octupole excitations

Abstract

We report the first beyond-mean-field study of low-lying parity-doublet states in 224Ra by extending the multireference relativistic energy density functional method to include dynamical correlations related to symmetry restoration and quadrupole-octupole shape fluctuation with a generator coordinate method combined with parity, particle-number, and angular-momentum projections. We clarify full microscopically that the origin of spin-dependent parity splitting in low-spin states is related to the octupole shape stabilization of positive-parity states, the dominated shapes of which drift gradually to that of negative-parity ones.

5 pages, 4 figures, to be published as a Rapid Communication in PRC

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Cited by in corpus (31)

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• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Anatomy of molecular structures in ${}^{20}$Ne
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• 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
• Shape transition with temperature of the pear-shaped nuclei in covariant density functional theory
• Anatomy of octupole correlations in ${}^{96}$Zr with a symmetry-restored multidimensionally-constrained covariant density functional theory
• Parametrisations of relativistic energy density functionals with tensor couplings
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Microscopic description of octupole collective excitations near $N=56$ and $N=88$
• Anharmonicity of multi-octupole-phonon excitations in ${}^{208}$Pb: analysis with multi-reference covariant density functional theory and subbarrier fusion of ${}^{16}$O+${}^{208}$Pb
• The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay
• Single particle in a reflection-asymmetric potential
• Octupole correlations in collective excitations of neutron-rich $N\approx 56$ nuclei
• Beyond mean-field approach for pear-shaped hypernuclei
• Generator coordinate method with a conjugate momentum: application to the particle number projection
• Origin of octupole deformation softness in atomic nuclei
• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Analytical description of the excited state phase transition to octupole deformed shape in alternating parity bands
• Applications of the dynamical generator coordinate method to quadrupole excitations
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Symmetry restoration methods