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TDDFT WITH SKYRME FORCES: EFFECT OF TIME-ODD DENSITIES ON ELECTRIC GIANT RESONANCES

2007/11/07 by V. O. Nesterenko, V. O. NESTERENKO, W. Kleinig +7 · 5 citations
Physics and Astronomy · #Nuclear physics research studies #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #nucl-th

paper · pdf · doi:10.1142/s0218301308009586

published as Int.J.Mod.Phys.E17:89-99,2008 · 14 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

arxiv created 2007/11/07 · openalex publication_date 2008/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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

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