Subtraction of the spurious translational mode from the RPA response function

Abstract

It is well known that within self-consistent Random Phase Approximation (RPA) on top of Hartree-Fock (HF), the translational symmetry should be restored. Due to approximations at the level of the practical implementation, this restoration may be only partial. As a result, one has spurious contributions in the physical quantities that are extracted from RPA. While there are several recipes in the literature to overcome this drawback in order to produce transition densites or strength functions that are free from spurious contamination, there is no formalism associated with the full RPA response function. We present such formalism in this paper. Our goal is to avoid spurious contamination when the response function is used in many-body frameworks like the particle-vibration coupling theory.

7 pages, 4 figures, 1 table

References in corpus (4)

• Finite amplitude method for the RPA solution
• Self-consistent description of multipole strength: systematic calculations
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Continuum quasiparticle linear response theory using the Skyrme functional for multipole responses of exotic nuclei

Cited by in corpus (5)

• Electric Dipole Polarizability in ${}^{208}$Pb: insights from the Droplet Model
• Prospective study on microscopic potential with Gogny interaction
• Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei
• Elimination of spurious modes within QRPA
• Spurious dipole mode in random-phase approximation and in the RPA-based models