356 research outputs found
Dipole states in stable and unstable nuclei
A nuclear structure model based on linear response theory (i.e., Random Phase
Approximation) and which includes pairing correlations and anharmonicities
(coupling with collective vibrations), has been implemented in such a way that
it can be applied on the same footing to magic as well as open-shell nuclei. As
applications, we have chosen to study the dipole excitations both in
well-known, stable isotopes like Pb and Sn as well as in the
neutron-rich, unstable Sn nucleus, by addressing in the latter case the
question about the nature of the low-lying strength. Our results suggest that
the model is reliable and predicts in all cases low-lying strength of non
collective nature.Comment: 16 pages, 6 figures; submitted for publicatio
Compression modes in nuclei: microscopic models with Skyrme interactions
The isoscalar giant monopole resonances (ISGMR) and giant dipole resonances
(ISGDR) in medium-heavy nuclei are investigated in the framework of HF+RPA and
HF-BCS+QRPA with Skyrme effective interactions. It is found that pairing has
little effect on these modes. It is also found that the coupling of the RPA
states to 2p-2h configurations results in about (or less than) 1 MeV shifts of
the resonance energies and at the same time gives the correct total widths. For
the ISGMR, comparison with recent data leads to a value of nuclear matter
compression modulus close to 215 MeV. However, a discrepancy between calculated
and measured energies of the ISGDR in Pb is found and remains an open
problem.Comment: To appear in: ``RIKEN Symposium and Workshop on Selected Topics in
Nuclear Collective Excitations'', proceedings of the meeting, RIKEN, Wako
city (Japan), March 20--24, 199
Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus Sn
We propose a self-consistent quasi-particle random phase approximation (QRPA)
plus quasi-particle-vibration coupling (QPVC) model with Skyrme interactions to
describe the width and the line shape of giant resonances in open-shell nuclei,
in which the effect of superfluidity should be taken into account in both the
ground state and the excited states. We apply the new model to the Gamow-Teller
resonance in the superfluid nucleus Sn, including both the isoscalar
spin-triplet and the isovector spin-singlet pairing interactions. The strength
distribution in Sn is well reproduced and the underlying microscopic
mechanisms, related to QPVC and also to isoscalar pairing, are analyzed in
detail.Comment: 32 pages, 11 figures, 4 table
A consistent description of the monopole resonance in spherical nuclei
We have recently implemented a fully self-consistent model based on Quasiparticle-Vibration Coupling (QPVC model). This can be applied to Giant Resonances of any kind, and can account for the position of the resonance main peak (or centroid) and for the resonance width. In this contribution, we show how this model can solve the problem of the different incompressibilities (Kâ) that spherical nuclei display. In other words, we discuss here that the values of Kâ extracted from Sn isotopes and 208Pb turn out to be compatible, so that the famous issue of the âfluffinessâ of Sn is set. Ca isotopes and 90Zr are also compatible with the same values of Kâ, that are around 225â230 MeV. This conclusion relies on the use of the so-called subtraction method
Îł decay of giant resonances to low-lying states
With growing studies on giant resonances, the deep insight about their damping mechanisms draws more and more attentions. Here we provide an alternative way to study the detailed structures of giant resonances apart from the wavelet analysis of the high-resolution strength distribution, including isospin prop- erties and wavefunctions, the latter of which indicates the main damping mechanism of giant resonances. We utilize a fully self-consistent random phase approximation (RPA) + particle vibration coupling (PVC) model to calculate the Îł decay width based on Skyrme density functional. We find that the complex configuration, i.e., one-particle one-hole coupled with phonon, has much larger component in the wave- function of GQR than that of GDR, which indicates the main damping mechanisms in these two modes are different
First step in the nuclear inverse Kohn-Sham problem: From densities to potentials
Nuclear density functional theory (DFT) plays a prominent role in the understanding of nuclear structure, being the approach with the widest range of applications. Hohenberg and Kohn theorems warrant the existence of a nuclear energy density functional (EDF), yet its form is unknown. Current efforts to build a nuclear EDF are hindered by the lack of a strategy for systematic improvement. In this context, alternative approaches should be pursued and, so far, an unexplored avenue is that related to the inverse DFT problem. DFT is based on the one-to-one correspondence between Kohn-Sham (KS) potentials and densities. The exact EDF produces the exact density, so that from the knowledge of experimental or ab initio densities one may deduce useful information through reverse engineering. The idea has already been proved to be useful in the case of electronic systems. The general problem should be dealt with in steps, and the objective of the present work is to focus on testing algorithms to extract the Kohn-Sham potential within the simplest ansatz from the knowledge of the experimental neutron and proton densities. We conclude that, while robust algorithms exist, the experimental densities present some critical aspects. Finally, we provide some perspectives for future works
Self-consistent calculations within the Extended Theory of Finite Fermi Systems
The Extended Theory of Finite Fermi Systems(ETFFS) describes nuclear
excitations considering phonons and pairing degrees of freedom, using
experimental single particle energies and the effective Landau-Migdal
interaction. Here we use the Skyrme interactions in order to extend the range
of applicability of the ETFFS to experimentally not yet investigated
short-lived isotopes. We find that Skyrme interactions which reproduce at the
mean field level both ground state properties and nuclear excitations are able
to describe the spreading widths of the giant resonances in the new approach,
but produce shifts of the centroid energies. A renormalization of the Skyrme
interactions is required for approaches going beyond the mean field level.Comment: 7 pages, 5 figures, corrected typo
Isoscalar Giant Dipole Resonance and Nuclear Matter Incompressibility Coefficient
We present results of microscopic calculations of the strength function,
S(E), and alpha-particle excitation cross sections sigma(E) for the isoscalar
giant dipole resonance (ISGDR). An accurate and a general method to eliminate
the contributions of spurious state mixing is presented and used in the
calculations. Our results provide a resolution to the long standing problem
that the nuclear matter incompressibility coefficient, K, deduced from sigma(E)
data for the ISGDR is significantly smaller than that deduced from data for the
isoscalar giant monopole resonance (ISGMR).Comment: 4 pages using revtex 3.0, 3 postscript figures created by Mathematica
4.
Effects of finite width of excited states on heavy-ion sub-barrier fusion reactions
We discuss the effects of coupling of the relative motion to nuclear
collective excitations which have a finite lifetime on heavy-ion fusion
reactions at energies near and below the Coulomb barrier. Both spreading and
escape widths are explicitly taken into account in the exit doorway model. The
coupled-channels equations are numerically solved to show that the finite
resonance width always hinders fusion cross sections at subbarrier energies
irrespective of the relative importance between the spreading and the escape
widths. We also show that the structure of fusion barrier distribution is
smeared due to the spreading of the strength of the doorway state.Comment: 13 pages, 3 figures, Submitted to Physical Review
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