Self-consistent Continuum Random Phase Approximation calculations with finite-range interactions

Abstract

We present a technique which allows us to solve the Random Phase Approximation equations with finite-range interactions and treats the continuum part of the excitation spectrum without approximations. The interaction used in the Hartree-Fock calculations to generate the single particle basis is also used in the Continuum Random Phase Approximation calculations. We present results for the electric dipole and quadrupole excitations in the ${}^{16}$O, ${}^{22}$O, ${}^{24}$O, ${}^{40}$Ca, ${}^{48}$Ca and ${}^{52}$Ca nuclei. We compare our results with those of the traditional discrete Random Phase Approximation, with the continuum mean-field results and with the results obtained by a phenomenological approach. We study the relevance of the continuum, of the residual interaction and of the self-consistency. We also compare our results with the available total photoabsorption cross section data. We compare our photoabsorption cross section in ${}^4$He with that obtained by a calculation which uses a microscopic interaction.

25 pages, 14 figs., 4 tables, accepted for publication in Physical Review C

References in corpus (23)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The equation of state for nucleon matter and neutron star structure
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Quantum Monte Carlo Calculations of Light Nuclei
• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Ab initio many-body calculations of nucleon-nucleus scattering
• Extended Theory of Finite Fermi Systems (Collective Vibrations in Closed Shell Nuclei)
• Nuclear Structure in the Framework of the Unitary Correlation Operator Method
• Coupled cluster approach to nuclear physics
• Collective nuclear excitations with Skyrme-Second RPA
• Self-consistent description of nuclear compressional modes
• Microscopic calculation of the equation of state of nuclear matter and neutron star structure
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• Renormalized Fermi hypernetted chain approach in medium-heavy nuclei
• Evolution of the pygmy dipole resonance in nuclei with neutron excess
• Superscaling in electroweak excitation of nuclei
• RPA calculations with Gaussian expansion method
• Low-lying magnetic excitations of doubly-closed-shell nuclei and nucleon-nucleon effective interactions
• Nuclear Charge Density Distributions from Elastic Electron Scattering Data
• Effective tensor forces and neutron rich nuclei

Cited by in corpus (23)

• The Compression-Mode Giant Resonances and Nuclear Incompressibility
• Time-dependent density-functional description of nuclear dynamics
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Prospective study on microscopic potential with Gogny interaction
• Impact of tensor force on β-decay of magic and semi-magic nuclei
• Subtraction method in the second random--phase approximation: first applications with a Skyrme energy functional
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Application of an Extended Random Phase Approximation on Giant Resonances in Light, Medium and Heavy Mass Nuclei
• Relativistic R matrix and continuum shell model
• Description of nuclear systems with a self-consistent configuration-mixing approach. I: Theory, algorithm, and application to the ${}^{12}$C test nucleus
• Electric quadrupole and magnetic dipole moments of odd nuclei near the magic ones in a self-consistent approach
• Pygmy and giant electric dipole responses of medium-heavy nuclei in a self-consistent Random Phase Approximation approach with finite-range interaction
• Magnetic excitations in nuclei with neutron excess
• Self-consistent continuum random-phase approximation with finite-range interactions for charge-exchange excitations
• Mean-field calculations of exotic nuclei ground states
• Asymmetry dependence of Gogny based optical potential
• Cross section for supernova axion observation in neutrino water Cherenkov detectors
• Nuclear response functions with finite range Gogny force: tensor terms and instabilities
• Pairing in spherical nuclei: quasi-particle random phase approximation calculations with the Gogny interaction
• Coulomb and spin-orbit interactions in random phase approximation calculations
• Self-consistent continuum random phase approximation calculations of ${}^4$He electromagnetic responses
• Proton pygmy resonances: predictions for N=20 isotones
• Recent applications of the subtracted second RPA method