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

2008 ◽  
Vol 17 (01) ◽  
pp. 89-99 ◽  
Author(s):  
V. O. NESTERENKO ◽  
W. KLEINIG ◽  
J. KVASIL ◽  
P. VESELY ◽  
P.-G. REINHARD
Keyword(s):  
Ground State ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Galilean Invariance ◽  
Giant Resonances ◽  
Nd Isotopes ◽  
Effective Masses ◽  
Self Consistent ◽  
A Chain

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.

COLLECTIVE BANDS IN SUPERDEFORMED NUCLEI

2008 ◽  
Vol 17 (01) ◽  
pp. 196-203
Author(s):  
J. KVASIL ◽  
N. LO IUDICE ◽  
F. ANDREOZZI ◽  
A. PORRINO ◽  
F. KNAPP
Keyword(s):  
Comparative Analysis ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Anomalous Behavior ◽  
Yrast Band ◽  
Phase Approximation ◽  
Giant Resonances ◽  
Quasiparticle Random Phase Approximation ◽  
Self Consistent ◽  
Dynamical Moment

The collective properties of excited superdeformed bands have been investigated in the framework of self-consistent cranked Nilsson plus quasiparticle random-phase approximation. The expected octupole nature of some bands observed recently in some nuclei has been confirmed by a comparative analysis of their E1 decays to the yrast band and of the anomalous behavior of their dynamical moment of inertia. It is also shown that the onset of supederformation affects considerably the structure of the giant resonances and greatly enhances the collectivity of the low-lying scissors mode.

scholarly journals Self-consistent separable random-phase approximation for Skyrme forces: Giant resonances in axial nuclei

2006 ◽  
Vol 74 (6) ◽  
Author(s):  
V. O. Nesterenko ◽  
W. Kleinig ◽  
J. Kvasil ◽  
P. Vesely ◽  
P.-G. Reinhard ◽  
...  
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Giant Resonances ◽  
Self Consistent

scholarly journals SKYRME-RANDOM-PHASE-APPROXIMATION DESCRIPTION OF SPIN-FLIP AND ORBITAL M1 GIANT RESONANCES

2010 ◽  
Vol 19 (04) ◽  
pp. 558-567 ◽  
Author(s):  
V. O. NESTERENKO ◽  
J. KVASIL ◽  
P. VESELY ◽  
W. KLEINIG ◽  
P.-G. REINHARD
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Proton Spin ◽  
Qualitative Description ◽  
Phase Approximation ◽  
Isotopic Chain ◽  
Giant Resonances ◽  
Peak Structure ◽  
Spin Flip ◽  
Self Consistent

The self-consistent separable random-phase approximation (SRPA) with Skyrme forces is extended to the case of magnetic excitations and applied to the description of spin-flip and orbital M1 giant resonances in the isotopic chain 142-152 Nd . The Skyrme forces SkT6, SkM*, SLy6 and SkI3 are used. The calculations show an onset of the scissors mode with increasing deformation. A specific three-peak structure of the spin-flip response is found and explained by particular neutron and proton spin-flip transitions. Although the employed forces provide an acceptable qualitative description, the Skyrme functional still needs further improvement to reproduce quantitatively the experiment for spin modes.

scholarly journals GIANT DIPOLE RESONANCE IN DEFORMED NUCLEI: DEPENDENCE ON SKYRME FORCES

2007 ◽  
Vol 16 (02) ◽  
pp. 624-633 ◽  
Author(s):  
V. O. NESTERENKO ◽  
W. KLEINIG ◽  
J. KVASIL ◽  
P. VESELY ◽  
P.-G. REINHARD
Keyword(s):  
Giant Dipole Resonance ◽  
Random Phase Approximation ◽  
Random Phase ◽  
The Self ◽  
Dipole Strength ◽  
Deformed Nuclei ◽  
Effective Masses ◽  
Dipole Resonance ◽  
Self Consistent ◽  
Basic Characteristics

The giant dipole resonance (GDR) in deformed nuclei is analyzed using the self-consistent separable random-phase-approximation (SRPA) with Skyrme forces SkT6, SkM*, SLy6 and SkI3. The deformed nuclei 150 Nd and 238 U are used as representative rare-earth and actinide samples. Dependences of the dipole strength distributions on some basic characteristics of the Skyrme functional and nuclear matter properties (isoscalar and isovector effective masses, time-odd contributions) are discussed. Particular attention is paid to the fragmentation structure of the GDR strength which is shown to depend sensitively to spin-orbit intruder states with large angular momentum.

VARIATIONAL RANDOM PHASE APPROXIMATION FOR THE ANHARMONIC OSCILLATOR

1991 ◽  
Vol 06 (26) ◽  
pp. 2429-2435 ◽  
Author(s):  
J. DUKELSKY ◽  
P. SCHUCK
Keyword(s):  
Wave Function ◽  
Density Matrix ◽  
Ground State ◽  
Random Phase Approximation ◽  
Anharmonic Oscillator ◽  
Random Phase ◽  
Oscillator Model ◽  
Phase Approximation ◽  
Truncation Scheme

The recently derived Variational Random Phase Approximation is examined using the anharmonoic oscillator model. Special attention is paid to the ground state RPA wave function and the convergence of the proposed truncation scheme to obtain the diagonal density matrix.

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