TDDFT with Skyrme Forces: Effect of Time-Odd Densities on Electric Giant Resonances

Abstract

Time-odd densities and their effect on electric giant resonances are investigated within the self-consistent separable random-phase-approximation (SRPA) model for various Skyrme forces (SkT6, SkO, SkM*, SIII, SGII, SLy4, SLy6, SkI3). Time-odd densities restore Galilean invariance of the Skyrme functional, violated by the effective-mass and spin-orbital terms. In even-even nuclei these densities do not contribute to the ground state but can affect the dynamics. As a particular case, we explore the role of the current density in description of isovector E1 and isoscalar E2 giant resonances in a chain of Nd spherical and deformed isotopes with A=134-158. Relation of the current to the effective masses and relevant parameters of the Skyrme functional is analyzed. It is shown that current contribution to E1 and E2 resonances is generally essential and fully determined by the values and signs of the isovector and isoscalar effective-mass parameters of the force. The contribution is the same for all the isotope chain, i.e. for both standard and exotic nuclei.

arXiv comment14 pages, 7 figures, will be published in Proceed. of 14th Nuclear Physics Workshop (Kazimierez, Poland, September, 2007) Comment: latex error in openning Fig. 2 was corrected

References in corpus (5)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Shape Coexistence and the Effective Nucleon-Nucleon Interaction
• Time-odd components in the mean field of rotating superdeformed nuclei
• Separable RPA for self-consistent nuclear models
• Giant dipole resonance in deformed nuclei: dependence on Skyrme forces

Cited by in corpus (33)

• Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei
• Time-odd mean fields in covariant density functional theory I. Non-rotating systems
• A Minimal Nuclear Energy Density Functional
• Dipole responses in Nd and Sm isotopes with shape transitions
• Skyrme-Rpa Description of Dipole Giant Resonance in Heavy and Superheavy Nuclei
• The tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid spherical nuclei
• Skyrme-Rpa Description of Spin-Flip M1 Giant Resonance
• Finite amplitude method applied to giant dipole resonance in heavy rare-earth nuclei
• 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
• Spin-flip M1 giant resonance as a challenge for Skyrme forces
• Individual low-energy toroidal dipole state in ${}^{24}$Mg
• Systematics of toroidal dipole modes in Ca, Ni, Zr, and Sn isotopes
• Isoscalar monopole and quadrupole modes in Mo isotopes: microscopic analysis
• Fine Structure of the Isovector Giant Dipole Resonance in ${}^{142-150}$Nd and ${}^{152}$Sm
• Deformation effects in toroidal and compression dipole excitations of ${}^{170}$Yb: Skyrme-RPA analysis
• Candidate toroidal electric dipole mode in the spherical nucleus ${}^{58}$Ni
• Wavelet signatures of $K$-splitting of the Isoscalar Giant Quadrupole Resonance in deformed nuclei from high-resolution (p,p${}^{\prime }$) scattering off ${}^{146,148,150}$Nd
• Isoscalar giant monopole resonance in ${}^{24}$Mg and ${}^{28}$Si: Effect of coupling between the isoscalar monopole and quadrupole strength
• Skyrme-Random-Phase-Approximation description of E1 strength in 92-100Mo
• The Long Journey from Ab Initio Calculations to Density Functional Theory for Nuclear Large Amplitude Collective Motion
• Skyrme Random-Phase-Approximation description of lowest $K^{\pi }=2_{\gamma }^{+}$ states in axially deformed nuclei
• Toroidal, compression, and vortical dipole strengths in ${}^{144-154}$Sm: Skyrme-RPA exploration of deformation effect
• Individual dipole toroidal states: main features and search in (e,e') reaction
• Deformation-induced splitting of the monopole giant resonance in 24Mg
• Toroidal, compression, and vortical dipole strengths in 124Sn
• Giant dipole resonance in Sm isotopes within TDHF method
• Giant dipole resonance and shape evolution in Nd isotopes within TDHF method
• Individual low-energy E1 toroidal and compression states in light nuclei: deformation effect, spectroscopy and interpretation
• Microscopic analysis of dipole electric and magnetic strengths in ${}^{156}$Gd
• Time-Dependent Superfluid Local Density Approximation
• A dependence of the enhancement factor in energy-weighted sums for isovector giant resonances