74 research outputs found
Nuclear Deformation Effects in the Cluster Radioactivity
We investigate the influence of the nuclear deformation on the decay rates of
some cluster emission processes. The interaction between the daughter and the
cluster is given by a double folding potential including quadrupole and
hexadecupole deformed densities of both fragments. The nuclear part of the
nucleus-nucleus interaction is density dependent and at small distances a
repulsive core in the potential will occur. In the frame of the
WKB-approximation the assault frequency of the cluster will depend on the
geometric properties of the potential pocket whereas the penetrability will be
sensitive to changes in the barrier location. The results obtained in this
paper point out that various combinations of cluster and daughter deformations
may account for the measured values of the decay rate.T he decay rather are
however more sensitive to the changes in the daughter deformation due to the
large mass asymmetry of the process.Comment: 11 pages, 6 figure
The Quantum Liquid of Alpha Clusters
Within the variational approach of Bose liquids we analyze the g.s. energy of
charge neutral alpha matter at =0. As a prerequisite for such calculation we
take from the literature or propose new \alp-\alp potentials that are
particularly suitable for this task, i.e. posses a repulsive core and/or
reproduce the low energy scattering data and the resonance properties of the
\alp-\alp system. The alpha matter EOS is then obtained with the HNC method
using Pandharipande-Bethe correlation derived variationally in the lowest order
expansion of the energy functional or a simple gaussian function with a healing
range determined by the normalization of the radial distribution function in
the lowest order. We show that saturation is achieved only via repulsive and
shallow potentials that are not consistent with the scattering and resonance
constraints.Comment: 8 pages, 4 figure
Dual Killing-Yano symmetry and multipole moments in electromagnetism and mechanics of continua
In this work we introduce the Killing-Yano symmetry on the phase space and we
investigate the symplectic structure on the space of Killing-Yano tensors. We
perform the detailed analyze of the -dimensional flat space and the
Riemaniann manifolds with constant scalar curvature. We investigate the form of
some multipole tensors, which arise in the expansion of a system of charges and
currents, in terms of second-order Killing-Yano tensors in the phase space of
classical mechanics.
We find some relations between these tensors and the generators of dynamical
symmetries like the angular momentum, the mass-inertia tensor, the conformal
operator and the momentum conjugate Runge-Lenz vector.Comment: 11 pages LaTeX, no figures, content enlarged and revised, accepted
for publication in Helvetica Physica Act
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