Spin-flip M1 giant resonance as a challenge for Skyrme forces

Abstract

Despite a great success of the Skyrme mean-field approach in exploration of nuclear dynamics, it seems to fail in description of the spin-flip M1 giant resonance. The results for different Skyrme parameterizations are contradictory and poorly agree with experiment. In particular, there is no parameterization which simultaneously describes the one-peak gross structure of M1 strength in doubly magic nuclei and two-peak structure in heavy deformed nuclei. The reason of this mismatch could lie in an unsatisfactory treatment of spin correlations and spin-orbit interaction. We discuss the present status of the problem and possible ways of its solution. In particular, we inspect i) the interplay of the collective shift and spin-orbit splitting, ii) the isovector M1 response versus isospin-mixed responses, and iii) the role of tensor and isovector spin-orbit interaction.

8 pages, 5 figures, to be published in J. Phys. G, special issue on Open Problems in Nuclear Structure Theory (OPeNST)

References in corpus (9)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Skyrme-Rpa Description of Dipole Giant Resonance in Heavy and Superheavy Nuclei
• Skyrme-Rpa Description of Spin-Flip M1 Giant Resonance
• Self-Consistent Separable Rpa for Skyrme Forces: Giant Resonances in Axial Nuclei
• TDDFT with Skyrme Forces: Effect of Time-Odd Densities on Electric Giant Resonances
• Extended Skyrme interaction (II): ground state of nuclei and of nuclear matter
• Extended Skyrme interaction (I): spin fluctuations in dense matter
• Giant dipole resonance in deformed nuclei: dependence on Skyrme forces

Cited by in corpus (23)

• Effects of symmetry breaking in finite quantum systems
• The tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
• Tensor and tensor-isospin terms in the effective Gogny interaction
• General Treatment of Vortical, Toroidal, and Compression Modes
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Magnetic dipole excitations based on the relativistic nuclear energy density functional
• Low-energy M1 excitations in ${}^{208}$Pb and the spin channel of the Skyrme energy-density functional
• Deformation effects in toroidal and compression dipole excitations of ${}^{170}$Yb: Skyrme-RPA analysis
• Estimating the relevance of predictions from nuclear mean-field models
• M1 resonance in ${}^{208}$Pb within the self-consistent phonon-coupling model
• 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
• Skyrme-Hartree-Fock Description of the Dipole Strength in Neutron-Rich Tin Isotopes
• Non-iterative finite amplitude methods for E1 and M1 giant resonances
• Toroidal, compression, and vortical dipole strengths in ${}^{144-154}$Sm: Skyrme-RPA exploration of deformation effect
• Toroidal, compression, and vortical dipole strengths in 124Sn
• Magnetic dipole excitation and its sum rule in nuclei with two valence nucleons
• The evolution of magnetic dipole strength in ${}^{100-140}$ Sn isotope chain and quenching of nucleon g factors
• QRPA calculations for M1 transitions with the noniterative finite amplitude method and the application to neutron radiative capture cross sections
• Multipole responses in fissioning nuclei and their uncertainties
• Symmetry breaking of Gamow-Teller and magnetic-dipole transitions and its restoration in calcium isotopes
• Low-energy M1 states in deformed nuclei: spin-scissors or spin-flip?
• Microscopic analysis of dipole electric and magnetic strengths in ${}^{156}$Gd