References & Citations
Nuclear Theory
Title: Symmetry-restored Skyrme-Random-Phase-Approximation calculations of the monopole strength in deformed nuclei
(Submitted on 16 Dec 2023 (v1), last revised 22 Apr 2024 (this version, v2))
Abstract: Within the Energy Density Functional (EDF) approach, the use of mean-field wave-functions deliberately breaking (some) symmetries of the underlying Hamiltonian is an efficient and largely utilized way to incorporate static correlations. However, the restoration of broken symmetries is eventually mandatory to recover the corresponding quantum numbers and to achieve a more precise description of nuclear properties.
While symmetry-restored calculations are routinely performed to study ground-state properties and low-lying excitations, similar applications to the nuclear response are essentially limited to either formal studies or to schematic models. In the present paper, the effect of angular momentum restoration on the monopole and quadrupole responses of doubly open-shell nuclei is investigated.
Based on deformed Skyrme-Random Phase Approximation (RPA) calculations, the exact Angular Momentum Projection (AMP) is implemented in the calculation of the multipole strength functions, thus defining a projection after variation (PAV-RPA) scheme. The method is employed for the first time in a realistic study to investigate the effect of AMP on the coupling of monopole and quadrupole modes in $^{24}$Mg resulting from its intrinsic deformation.
Submission history
From: Andrea Porro [view email][v1] Sat, 16 Dec 2023 10:34:46 GMT (1671kb,D)
[v2] Mon, 22 Apr 2024 15:18:31 GMT (1674kb,D)
Link back to: arXiv, form interface, contact.