Non-iterative finite amplitude methods for E1 and M1 giant resonances

Abstract

The finite amplitude method (FAM) is a very efficient approach for solving the fully self-consistent random-phase approximation (RPA) equations. We use FAM to rederive the RPA matrices for general Skyrme-like functionals, calculate the electric dipole (E1) and the magnetic dipole (M1) giant resonances, and compare the results with available experimental and evaluated data. For the E1 transitions in heavy nuclei, the calculations reproduce well the resonance energy of the photoabsorption cross sections. In the case of M1 transitions, we show that the residual interaction does not affect the transition strength of double-magic nuclei, which suggests that the spin terms in the Skyrme force currently neglected in the present computation could improve the agreement between FAM and experimental data.

arXiv comment15 pages, 6 figures

References in corpus (43)

• Nuclear ground-state masses and deformations: FRDM(2012)
• Origin of the Heaviest Elements: the Rapid Neutron-Capture Process
• Neutrino-induced nucleosynthesis of A>64 nuclei: The nu p-process
• The impact of individual nuclear properties on $r$-process nucleosynthesis
• Magnetic dipole excitations in nuclei: elementary modes of nucleonic motion
• Microscopic HFB+QRPA predictions of dipole strength for astrophysics applications
• Time-dependent density-functional description of nuclear dynamics
• Current Status of r-Process Nucleosynthesis
• The TDHF Code Sky3D
• Time-odd components in the mean field of rotating superdeformed nuclei
• Finite amplitude method for the RPA solution
• Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations
• Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei
• Finite amplitude method for the quasi-particle-random-phase approximation
• Global Description of Beta Decay with the Axially-Deformed Skyrme Finite Amplitude Method: Extension to Odd-Mass and Odd-Odd Nuclei
• Self-consistent calculation of nuclear photoabsorption cross section: Finite amplitude method with Skyrme functionals in the three-dimensional real space
• Giant Dipole Resonance Parameters of Ground-State Photoabsorption: Experimental Values with Uncertainties
• Effects of the Tensor Force on the Multipole Response in Finite Nuclei
• Multipole strength function of deformed superfluid nuclei made easy
• Low energy collective modes of deformed superfluid nuclei within the finite amplitude method
• Finite Amplitude Method for Charge-Changing Transitions in Axially-Deformed Nuclei
• Dipole responses in Nd and Sm isotopes with shape transitions
• Implementation of the finite amplitude method for the relativistic quasiparticle random-phase approximation
• Feasibility of the finite amplitude method in covariant density functional theory
• Estimation of M1 scissors mode strength for deformed nuclei in the medium to heavy mass region by statistical Hauser-Feshbach model calculations
• Beta decay of deformed r-process nuclei near A = 80 and A= 160, including odd-A and odd-odd nuclei, with the Skyrme finite-amplitude method
• Skyrme-Rpa Description of Spin-Flip M1 Giant Resonance
• Separable RPA for self-consistent nuclear models
• Finite amplitude method applied to giant dipole resonance in heavy rare-earth nuclei
• Multipole modes in deformed nuclei within the finite amplitude method
• Electromagnetic M1 transition strengths from inelastic proton scattering: The cases of 48Ca and 208Pb
• Possible effects of collective neutrino oscillations in the three flavor multi-angle simulations on supernova $\nu p$ process
• Misfits in Skyrme-Hartree-Fock
• Spin-flip M1 giant resonance as a challenge for Skyrme forces
• Efficient calculation for the quasiparticle random-phase approximation matrix
• Finite-amplitude method for collective inertia in spontaneous fission
• Magnetic dipole excitations based on the relativistic nuclear energy density functional
• Giant dipole resonance in deformed nuclei: dependence on Skyrme forces
• Low-energy M1 excitations in ${}^{208}$Pb and the spin channel of the Skyrme energy-density functional
• Impact of hypernova νp-process nucleosynthesis on the galactic chemical evolution of Mo and Ru
• Microscopic analysis of low-energy spin and orbital magnetic dipole excitations in deformed nuclei
• Role of residual interaction in the relativistic description of M1 excitation
• Theoretical Methods for Giant Resonances

Cited by in corpus (4)

• QRPA calculations for M1 transitions with the noniterative finite amplitude method and the application to neutron radiative capture cross sections
• Consideration of memory of spin and parity in the fissioning compound nucleus by applying the Hauser-Feshbach fission fragment decay model to photonuclear reactions
• Multipole responses in fissioning nuclei and their uncertainties
• Five-dimensional collective Hamiltonian with improved inertial functions