595 research outputs found
Shell corrections for finite depth potentials with bound states only
A new method of calculating unique values of ground-state shell corrections
for finite depth potentials is shown, which makes use of bound states only. It
is based on (i) a general formulation of extracting the smooth part from any
fluctuating quantity proposed by Strutinsky and Ivanjuk, (ii) a generalized
Strutinsky smoothing condition suggested recently by Vertse et al., and (iii)
the technique of the Lanczos factors. Numerical results for some
spherical heavy nuclei (Sn, Pb and 114) are
presented and compared to those obtained with the Green's function oscillator
expansion method.Comment: 5 pages, 2 tables and 3 figures. Accepted in Physics Letters
Giant-dipole Resonance and the Deformation of Hot, Rotating Nuclei
The development of nuclear shapes under the extreme conditions of high spin
and/or temperature is examined. Scaling properties are used to demonstrate
universal properties of both thermal expectation values of nuclear shapes as
well as the minima of the free energy, which can be used to understand the
Jacobi transition. A universal correlation between the width of the giant
dipole resonance and quadrupole deformation is found, providing a novel probe
to measure the nuclear deformation in hot nuclei.Comment: 6 pages including 6 figures. To appear in Phys. Rev. Lett. Revtex
The Effect of Nuclear Rotation on the Collective Transport Coefficients
We have examined the influence of rotation on the potential energy and the
transport coefficients of the collective motion (friction and mass
coefficients). For axially symmetric deformation of nucleus Th-224 we have
found that at excitations corresponding to temperatures T > 1 MeV the shell
correction to the liquid drop energy practically does not depend on the angular
rotation. The friction and mass coefficients obtained within the linear
response theory for the same nucleus at temperatures larger than T=2 MeV are
rather stable with respect to rotation provided that the contributions from
spurious states arising due to the violation of rotation symmetry are removed.
At smaller excitations both friction and mass parameters corresponding to the
elongation mode are growing functions of rotational frequency.Comment: 16 pages, 5 eps figures, Latex, submitted to Nucl.Phys.
Behavior of the giant-dipole resonance in Sn and Pb at high excitation energ
The properties of the giant-dipole resonance (GDR) are calculated as a
function of excitation energy, angular momentum, and the compound nucleus
particle decay width in the nuclei Sn and Pb, and are compared
with recent experimental data. Differences observed in the behavior of the
full-width-at-half-maximum of the GDR for Sn and Pb are
attributed to the fact that shell corrections in Pb are stronger than
in Sn, and favor the spherical shape at low temperatures. The effects
shell corrections have on both the free energy and the moments of inertia are
discussed in detail. At high temperature, the FWHM in Sn exhibits
effects due to the evaporation width of the compound nucleus, while these
effects are predicted for Pb.Comment: 28 pages in RevTeX plus eight postscript figures. Submitted to Nucl.
Phys.
Neutron stars and the fermionic Casimir effect
The inner crust of neutron stars consists of nuclei of various shapes
immersed in a neutron gas and stabilized by the Coulomb interaction in the form
of a crystal lattice. The scattering of neutrons on nuclear inhomegeneities
leads to the quantum correction to the total energy of the system. This
correction resembles the Casimir energy and turns out to have a large influence
on the structure of the crust.Comment: 6 pages, 1 figure, presented at the Fifth Workshop on Quantum Field
Theory under the Influence of External Conditions, Leipzig, Germany,
September 10-15, 2001, to appear in Int. J. Mod. Phys.
A Particle number conserving shell-correction method
The shell correction method is revisited. Contrary to the traditional
Strutinsky method, the shell energy is evaluated by an averaging over the
number of particles and not over the single-particle energies, which is more
consistent with the definition of the macroscopic energy. In addition, the
smooth background is subtracted before averaging the sum of single-particle
energies, which significantly improves the plateau condition and allows to
apply the method also for nuclei close to the proton or neutron drip lines. A
significant difference between the shell correction energy obtained with the
traditional and the new method is found in particular for highly degenerated
single-particle spectra (as i.e. in magic nuclei) while for deformed nuclei
(where the degeneracy is lifted to a large extent) both estimates are close,
except in the region of super or hyper-deformed states.Comment: 11 pages in LaTeX, 7 figure
Mathematical modeling of vibration field on the lathes machine tools
The design of transitional and withstand dynamic processes is carried out in the occasion of
main motion. Differential equalizations in the derivatives of part, which describe oscillation of
branches of transmission in the variables of Euler, are presented. The design of the dynamic
moving of spindle and both branches of transmission is executed as systems with the up-diffused
parameters
Quantum and semiclassical study of magnetic anti-dots
We study the energy level structure of two-dimensional charged particles in
inhomogeneous magnetic fields. In particular, for magnetic anti-dots the
magnetic field is zero inside the dot and constant outside. Such a device can
be fabricated with present-day technology. We present detailed semiclassical
studies of such magnetic anti-dot systems and provide a comparison with exact
quantum calculations. In the semiclassical approach we apply the Berry-Tabor
formula for the density of states and the Borh-Sommerfeld quantization rules.
In both cases we found good agreement with the exact spectrum in the weak
magnetic field limit. The energy spectrum for a given missing flux quantum is
classified in six possible classes of orbits and summarized in a so-called
phase diagram. We also investigate the current flow patterns of different
quantum states and show the clear correspondence with classical trajectories.Comment: 14 pages, 13 figure
A note on the time evolution of the fission decay width under the influence of dissipation
The claim put forward in a recent paper by B. Jurado, K.-H. Schmidt and J.
Benlliure that the transient effect of nuclear fission may be described simply
as a relaxation process in the upright oscillator around the potential minimum
is refuted. Some critical remarks on the relevance of this effect in general
are added.Comment: 6 pages, LaTex, no figures; final, shorter version, to appear in PL
Periodic-Orbit Bifurcations and Superdeformed Shell Structure
We have derived a semiclassical trace formula for the level density of the
three-dimensional spheroidal cavity. To overcome the divergences occurring at
bifurcations and in the spherical limit, the trace integrals over the
action-angle variables were performed using an improved stationary phase
method. The resulting semiclassical level density oscillations and
shell-correction energies are in good agreement with quantum-mechanical
results. We find that the bifurcations of some dominant short periodic orbits
lead to an enhancement of the shell structure for "superdeformed" shapes
related to those known from atomic nuclei.Comment: 4 pages including 3 figure
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