36,872 research outputs found
Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach
Single-particle resonant-states in the continuum are determined by solving
scattering states of the Dirac equation with proper asymptotic conditions in
the relativistic mean field theory (RMF). The regular and irregular solutions
of the Dirac equation at a large radius where the nuclear potentials vanish are
relativistic Coulomb wave functions, which are calculated numerically.
Energies, widths and wave functions of single-particle resonance states in the
continuum for ^{120}Sn are studied in the RMF with the parameter set of NL3.
The isoscalar giant octupole resonance of ^{120}Sn is investigated in a fully
consistent relativistic random phase approximation. Comparing the results with
including full continuum states and only those single-particle resonances we
find that the contributions from those resonant-states dominate in the nuclear
giant resonant processes.Comment: 16 pages, 2 figure
Pure geometric thick -branes: stability and localization of gravity
We study two exactly solvable five-dimensional thick brane world models in
pure metric gravity. Working in the Einstein frame, we show that these
solutions are stable against small linear perturbations, including the tensor,
vector, and scalar modes. For both models, the corresponding gravitational zero
mode is localized on the brane, which leads to the four-dimensional Newton's
law; while the massive modes are nonlocalized and only contribute a small
correction to the Newton's law at a large distance.Comment: 7 pages, 2 figures, improved version, accepted by Eur. Phys. J.
Buffer occupancy of statistical multiplexers with periodic interchangeable traffic in ATM networks
In this paper we analyze the buffer occupancy in a statistical multiplexer in ATM networks for a special type of traffic, namely, periodic interchangeable (PI) traffic. Certain generalized Ballot theorem is applied to analyze the problem. Explicit formulas for the expected buffer occupancy are derived
-field kinks: stability, exact solutions and new features
We study a class of noncanonical real scalar field models in
-dimensional flat space-time. We first derive the general criterion for
the classical linear stability of an arbitrary static soliton solution of these
models. Then we construct first-order formalisms for some typical models and
derive the corresponding kink solutions. The linear structures of these
solutions are also qualitatively analyzed and compared with the canonical kink
solutions.Comment: 14 pages, 3 figure
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