33,959 research outputs found
Large amplitude pairing fluctuations in atomic nuclei
Pairing fluctuations are self-consistently incorporated on the same footing
as the quadrupole deformations in present state of the art calculations
including particle number and angular momentum conservation as well as
configuration mixing. The approach is complemented by the use of the finite
range density dependent Gogny force which, with a unique source for the
particle-hole and particle-particle interactions, guarantees a self-consistent
interplay in both channels.
We have applied our formalism to study the role of the pairing degree of
freedom in the description of the most relevant observables like spectra,
transition probabilities, separation energies, etc. We find that the inclusion
of pairing fluctuations mostly affects the description of excited states,
depending on the excitation energy and the angular momentum. transition
probabilities experiment rather big changes while 's are less affected.
Genuine pairing vibrations are thoroughly studied with the conclusion that
deformations strongly inhibits their existence. These studies have been
performed for a selection of nuclei: spherical, deformed and with different
degree of collectivity.Comment: 23 pages, 23 Figures, To be published in Phys. Rev.
One-dimensional relativistic dissipative system with constant force and its quantization
For a relativistic particle under a constant force and a linear velocity
dissipation force, a constant of motion is found. Problems are shown for
getting the Hamiltoninan of this system. Thus, the quantization of this system
is carried out through the constant of motion and using the quantization of the
velocity variable. The dissipative relativistic quantum bouncer is outlined
within this quantization approach.Comment: 11 pages, no figure
Lattice calculations on the spectrum of Dirac and Dirac-K\"ahler operators
We present a matrix technique to obtain the spectrum and the analytical index
of some elliptic operators defined on compact Riemannian manifolds. The method
uses matrix representations of the derivative which yield exact values for the
derivative of a trigonometric polynomial. These matrices can be used to find
the exact spectrum of an elliptic operator in particular cases and in general,
to give insight into the properties of the solution of the spectral problem. As
examples, the analytical index and the eigenvalues of the Dirac operator on the
torus and on the sphere are obtained and as an application of this technique,
the spectrum of the Dirac-Kahler operator on the sphere is explored.Comment: 11 page
A probabilistic model for crystal growth applied to protein deposition at the microscale
A probabilistic discrete model for 2D protein crystal growth is presented.
This model takes into account the available space and can describe growing
processes of different nature due to the versatility of its parameters which
gives the model great flexibility. The accuracy of the simulation is tested
against a real protein (SbpA) crystallization experiment showing high agreement
between the proposed model and the actual images of the nucleation process.
Finally, it is also discussed how the regularity of the interface (i.e. the
curve that separates the crystal from the substrate) affects to the evolution
of the simulation.Comment: 13 pages, 12 figure
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