4,033 research outputs found
Neutrinoless decay nuclear matrix elements in an isotopic chain
We analyze nuclear matrix elements (NME) of neutrinoless double beta decay
calculated for the Cadmium isotopes. Energy density functional methods
including beyond mean field effects such as symmetry restoration and shape
mixing are used. Strong shell effects are found associated to the underlying
nuclear structure of the initial and final nuclei. Furthermore, we show that
NME for two-neutrino double beta decay evaluated in the closure approximation,
, display a constant proportionality with respect to
the Gamow-Teller part of the neutrinoless NME, . This
opens the possibility of determining the matrix
elements from Gamow-Teller strength functions. Finally, the
interconnected role of deformation, pairing, configuration mixing and shell
effects in the NMEs is discussed
Non-linear Plank Problems and polynomial inequalities
We study lower bounds for the norm of the product of polynomials and their
applications to the so called \emph{plank problem.} We are particularly
interested in polynomials on finite dimensional Banach spaces, in which case
our results improve previous works when the number of polynomials is large.Comment: 19 page
Collective and Single-particle Motion in Beyond Mean Field Approaches
We present a novel nuclear energy density functional method to calculate
spectroscopic properties of atomic nuclei. Intrinsic nuclear quadrupole
deformations and rotational frequencies are considered simultaneously as the
degrees of freedom within a symmetry conserving configuration mixing framework.
The present method allows the study of nuclear states with collective and
single-particle character. We calculate the fascinating structure of the
semi-magic 44S nucleus as a first application of the method, obtaining an
excellent quantitative agreement both with the available experimental data and
with state-of-the-art shell model calculations.Comment: 5 pages, 4 figures, accepted for publication in Phys. Rev. Let
Systematic study of infrared energy corrections in truncated oscillator spaces
We study the convergence properties of nuclear binding energies and
two-neutron separation energies obtained with self-consistent mean-field
calculations based on the Hartree-Fock-Bogolyubov (HFB) method with Gogny-type
effective interactions. Owing to lack of convergence in a truncated working
basis, we employ and benchmark one of the recently proposed infrared energy
correction techniques to extrapolate our results to the limit of an infinite
model space. We also discuss its applicability to global calculations of
nuclear masses.Comment: 12 pages, 12 figure
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