2022-06-10 11:00  Online

Particle vibration coupling in superfluid nuclei with axial deformation

Yinu Zhang

The nuclear density functional theory (DFT) has demonstrated the ability to provide a fairly accurate description of nuclear ground-state properties and low-energy collective excitations across the nuclear chart. In this work, we elaborate on the particle-vibration coupling (PVC), which is associated with the leading correlations beyond the mean-field approximation in strongly-coupled many-body fermionic systems treated within a consistent and systematic framework of the equation of motion method. For deformed nuclei, the conventional solution of the quasiparticle random phase approximation (QRPA), which provides the major input for the PVC, requires prohibitive numerical efforts. By linking the notion of the quasiparticle-phonon vertex to the variation of the Bogoliubovs Hamiltonian, we show that the recently developed finite-amplitude method (FAM) can be efficiently employed to compute the PVC vertices within the FAM-QRPA for deformed nuclei. To illustrate the validity of the particle vibration coupling to superfluid nuclei in axial deformation, the calculations based on the relativistic density-dependent point-coupling Lagrangian are performed for the single-nucleon states as well as the giant resonances in medium-mass and heavy nuclei with axial deformations. The results show considerable improvement compare with experimental data for axially-deformed nuclei.