Symmetry restoration methods
arXiv:2204.12126 · doi:10.1007/978-981-15-8818-1_18-1
Abstract
Symmetry techniques based on group theory play a prominent role in the analysis of nuclear phenomena, and in particular in the understanding of observed regular patterns in nuclear spectra and selection rules for electromagnetic transitions. A variety of symmetry-based nuclear models have been developed in nuclear physics, providing efficient tools of choice to interpret nuclear spectroscopic data. This chapter provides a pedagogical introduction to the basic idea of symmetry-breaking mechanism and symmetry-restoration methods in modeling atomic nuclei.
35 pages with 8 figures. Contribution to the "Handbook of Nuclear Physics", Springer, 2022, Eds. I. Tanihata, H. Toki, and T. Kajino
References in corpus (21)
- 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
- Erratum: Assessment of uncertainties in QRPA -decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
- Symmetry-guided large-scale shell-model theory
- Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
- Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
- A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
- Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
- Angular-momentum projection in coupled-cluster theory: structure of Mg
- Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
- Isospin mixing in nuclei within the nuclear density functional theory
- Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
- Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
- Beyond-mean-field study of the possible "bubble" structure of 34Si
- Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
- Beyond mean-field study of elastic and inelastic electron scattering off nuclei
- Configuration interaction in symmetry-conserving covariant density functional theory
- Three-dimensional angular momentum projected relativistic point-coupling approach for the low-lying excited states in Mg
- Lipkin method of particle-number restoration to higher orders
- Potential energy surfaces of actinide and transfermium nuclei from multi-dimensional constraint covariant density functional theories
- Configuration interaction projected density functional theory: effects of four-quasiparticle configurations and time-odd interactions