19,109 research outputs found
Intrinsic-Density Functionals
The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to
functionals of the localized intrinsic density of a self-bound system such as a
nucleus. After defining the intrinsic-density functional, we modify the usual
Kohn-Sham procedure slightly to evaluate the mean-field approximation to the
functional, and carefully describe the construction of the leading corrections
for a system of fermions in one dimension with a spin-degeneracy equal to the
number of particles N. Despite the fact that the corrections are complicated
and nonlocal, we are able to construct a local Skyrme-like intrinsic-density
functional that, while different from the exact functional, shares with it a
minimum value equal to the exact ground-state energy at the exact ground-state
intrinsic density, to next-to-leading order in 1/N. We briefly discuss
implications for real Skyrme functionals.Comment: 15 page
Schiff Screening of Relativistic Nucleon Electric-Dipole Moments by Electrons
We show, at leading-order in the multipole expansion of the electron-nucleus
interaction, that nucleon electric-dipole moments are completely shielded by
electrons so that they contribute nothing to atomic electric-dipole moments,
even when relativity in the nucleus is taken into account. It is well known
that relativistic electron motion, by contrast, leads to dipole moments that
are not screened; we discuss the reasons for the difference.Comment: 4 pages, typeset by REVTeX, submitted to PR
Self-consistent description of multipole strength: systematic calculations
We use the quasiparticle random phase approximation with a few Skyrme density
functionals to calculate strength functions in the Jpi = 0+, 1-, and 2+
channels for even Ca, Ni, and Sn isotopes, from the proton drip line to the
neutron drip line. We show where and how low-lying strength begins to appear as
N increases. We also exhibit partial energy-weighted sums of the transition
strength as functions of N for all nuclei calculated, and transition densities
for many of the interesting peaks. We find that low-energy strength increases
with N in all multipoles, but with distinctive features in each. The low-lying
0+ strength near the neutron at large N barely involves protons at all, with
the strength coming primarily from a single two-quasineutron configuration with
very large spatial extent. The low-lying 1- strength is different, with protons
contributing to the transition density in the nuclear interior together with
neutrons at large radii. The low-lying 2+ transition strength goes largely to
more localized states. The three Skyrme interactions we test produce similar
results, differing most significantly in their predictions for the location of
the neutron drip line, the boundaries of deformed regions, energies of and
transition strengths to the lowest 2+ states between closed shells, and
isovector energy-weighted sum rules.Comment: 43 pages, 48 figures, 1 tabl
Limit on T-violating P-conserving rhoNN interaction from the gamma decay of Fe-57
We use the experimental limit on the interference of M1 and E2 multipoles in the Îł decay of 57Fe to bound the time-reversal-violating parity-conserving ÏNN vertex. Our approach is a large-basis shell-model calculation of the interference. We find an upper limit on the parameter gÂŻÏ, the relative strength of the T-violating ÏNN vertex, of close to 10^(-2), a value similar to the best limits from other experiments
Quasielastic neutrino scattering from oxygen and the atmospheric neutrino problem
We examine several phenomena beyond the scope of Fermi-gas models that affect
the quasielastic scattering (from oxygen) of neutrinos in the 0.1 -- 3.0 GeV
range. These include Coulomb interactions of outgoing protons and leptons, a
realistic finite-volume mean field, and the residual nucleon-nucleon
interaction. None of these effects are accurately represented in the Monte
Carlo simulations used to predict event rates due to and neutrinos
from cosmic-ray collisions in the atmosphere. We nevertheless conclude that the
neglected physics cannot account for the anomalous to ratio observed
at Kamiokande and IMB, and is unlikely to change absolute event rates by more
than 10--15\%. We briefly mention other phenomena, still to be investigated in
detail, that may produce larger changes.Comment: In Revtex version 2. 14 pages, 3 figures (available on request from
J. Engel, tel. 302-831-4354, [email protected]
Nuclear time-reversal violation and the Schiff moment of 225Ra
We present a comprehensive mean-field calculation of the Schiff moment of the
nucleus 225Ra, the quantity which determines the static electric dipole moment
of the corresponding atom if time-reversal (T) invariance is violated in the
nucleus. The calculation breaks all possible intrinsic symmetries of the
nuclear mean field and includes, in particular, both exchange and direct terms
from the full finite-range T-violating nucleon-nucleon interaction, and the
effects of short-range correlations. The resulting Schiff moment, which depends
on three unknown T-violating pion-nucleon coupling constants, is much larger
than in 199Hg, the isotope with the best current experimental limit on its
atomic electric-dipole moment.Comment: 4 pages, 2 figures; this version (references added) to be published
in PR
Effective Operators for Double-Beta Decay
We use a solvable model to examine double-beta decay, focusing on the
neutrinoless mode. After examining the ways in which the neutrino propagator
affects the corresponding matrix element, we address the problem of finite
model-space size in shell-model calculations by projecting our exact wave
functions onto a smaller subspace. We then test both traditional and more
recent prescriptions for constructing effective operators in small model
spaces, concluding that the usual treatment of double-beta-decay operators in
realistic calculations is unable to fully account for the neglected parts of
the model space. We also test the quality of the Quasiparticle Random Phase
Approximation and examine a recent proposal within that framework to use
two-neutrino decay to fix parameters in the Hamiltonian. The procedure
eliminates the dependence of neutrinoless decay on some unfixed parameters and
reduces the dependence on model-space size, though it doesn't eliminate the
latter completely.Comment: 10 pages, 8 figure
Time-Reversal Violating Schiff Moment of 225Ra
We use the Skyrme-Hartree-Fock method, allowing all symmetries to be broken,
to calculate the time-reversal-violating nuclear Schiff moment (which induces
atomic electric dipole moments) in the octupole-deformed nucleus 225Ra. Our
calculation includes several effects neglected in earlier work, including self
consistency and polarization of the core by the last nucleon. We confirm that
the Schiff moment is large compared to those of reflection-symmetric nuclei,
though ours is generally a few times smaller than recent estimates.Comment: Typos corrected, references added, minor changesin text. Version to
appear in PRC. 10 pages, 4 figure
Self-consistent Skyrme QRPA for use in axially-symmetric nuclei of arbitrary mass
We describe a new implementation of the quasiparticle random phase
approximation (QRPA) in axially-symmetric deformed nuclei with Skyrme and
volume-pairing energy-density functionals. After using a variety of tests to
demonstrate the accuracy of the code in ^{24,26}Mg and ^{16}O, we report the
first fully self-consistent application of the Skyrme QRPA to a heavy deformed
nucleus, calculating strength distributions for several K^pi in ^{172}Yb. We
present energy-weighted sums, properties of gamma-vibrational and low-energy
K^pi=0^+ states, and the complete isovector E1 strength function. The QRPA
calculation reproduces the properties of the low-lying 2^+ states as well or
better than it typically does in spherical nuclei.Comment: 5 pages, 6 figure
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