5,643 research outputs found
Low-lying states in near-magic odd-odd nuclei and the effective interaction
The iterative quasi-particle-random-phase approximation (QRPA) method we
previously developed to accurately calculate properties of individual nuclear
states is extended so that it can be applied for nuclei with odd numbers of
neutrons and protons. The approach is based on the proton-neutron-QRPA (pnQRPA)
and uses an iterative non-hermitian Arnoldi diagonalization method where the
QRPA matrix does not have to be explicitly calculated and stored. The method is
used to calculate excitation energies of proton-neutron multiplets for several
nuclei. The influence of a pairing interaction in the channel is studied
Effective pseudopotential for energy density functionals with higher order derivatives
We derive a zero-range pseudopotential that includes all possible terms up to
sixth order in derivatives. Within the Hartree-Fock approximation, it gives the
average energy that corresponds to a quasi-local nuclear Energy Density
Functional (EDF) built of derivatives of the one-body density matrix up to
sixth order. The direct reference of the EDF to the pseudopotential acts as a
constraint that divides the number of independent coupling constants of the EDF
by two. This allows, e.g., for expressing the isovector part of the functional
in terms of the isoscalar part, or vice versa. We also derive the analogous set
of constraints for the coupling constants of the EDF that is restricted by
spherical, space-inversion, and time-reversal symmetries.Comment: 18 LaTeX pages, 2 EPS Figures, 27 Tables, and 18 files of the
supplemental material (LaTeX, Mathematica, and Fortran), introduction
rewritten, table XXVII and figure 2 corrected, in press in Physical Review
Fluctuating parts of nuclear ground state correlation energies
Background: Heavy atomic nuclei are often described using the
Hartree-Fock-Bogoliubov (HFB) method. In principle, this approach takes into
account Pauli effects and pairing correlations while other correlation effects
are mimicked through the use of effective density-dependent interactions.
Purpose: Investigate the influence of higher order correlation effects on
nuclear binding energies using Skyrme's effective interaction.
Methods: A cut-off in relative momenta is introduced in order to remove
ultraviolet divergences caused by the zero-range character of the interaction.
Corrections to binding energies are then calculated using the
quasiparticle-random-phase approximation (QRPA) and second order many-body
perturbation theory (MBPT2).
Result: Contributions to the correlation energies are evaluated for several
isotopic chains and an attempt is made to disentangle which parts give rise to
fluctuations that may be difficult to incorporate on the HFB level. The
dependence of the results on the cut-off is also investigated.
Conclusions: The improved interaction allows explicit summations of
perturbation series which is useful for the description of some nuclear
observables. However, refits of the interaction parameters are needed to obtain
more quantitative results
Convergence of density-matrix expansions for nuclear interactions
We extend density-matrix expansions in nuclei to higher orders in derivatives
of densities and test their convergence properties. The expansions allow for
converting the interaction energies characteristic to finite- and short-range
nuclear effective forces into quasi-local density functionals. We also propose
a new type of expansion that has excellent convergence properties when
benchmarked against the binding energies obtained for the Gogny interaction.Comment: 4 pages, 3 figure
Modeling of Covalent Bonding in Solids by Inversion of Cohesive Energy Curves
We provide a systematic test of empirical theories of covalent bonding in
solids using an exact procedure to invert ab initio cohesive energy curves. By
considering multiple structures of the same material, it is possible for the
first time to test competing angular functions, expose inconsistencies in the
basic assumption of a cluster expansion, and extract general features of
covalent bonding. We test our methods on silicon, and provide the direct
evidence that the Tersoff-type bond order formalism correctly describes
coordination dependence. For bond-bending forces, we obtain skewed angular
functions that favor small angles, unlike existing models. As a
proof-of-principle demonstration, we derive a Si interatomic potential which
exhibits comparable accuracy to existing models.Comment: 4 pages revtex (twocolumn, psfig), 3 figures. Title and some wording
(but no content) changed since original submission on 24 April 199
The formation of IRIS diagnostics I. A quintessential model atom of Mg II and general formation properties of the Mg II h&k lines
NASA's Interface Region Imaging Spectrograph (IRIS) space mission will study
how the solar atmosphere is energized. IRIS contains an imaging spectrograph
that covers the Mg II h&k lines as well as a slit-jaw imager centered at Mg II
k. Understanding the observations will require forward modeling of Mg II h&k
line formation from 3D radiation-MHD models. This paper is the first in a
series where we undertake this forward modeling. We discuss the atomic physics
pertinent to h&k line formation, present a quintessential model atom that can
be used in radiative transfer computations and discuss the effect of partial
redistribution (PRD) and 3D radiative transfer on the emergent line profiles.
We conclude that Mg II h&k can be modeled accurately with a 4-level plus
continuum Mg II model atom. Ideally radiative transfer computations should be
done in 3D including PRD effects. In practice this is currently not possible. A
reasonable compromise is to use 1D PRD computations to model the line profile
up to and including the central emission peaks, and use 3D transfer assuming
complete redistribution to model the central depression.Comment: 13 pages, 13 figures, accepted for Ap
Correlation studies of fission fragment neutron multiplicities
We calculate neutron multiplicities from fission fragments with specified
mass numbers for events having a specified total fragment kinetic energy. The
shape evolution from the initial compound nucleus to the scission
configurations is obtained with the Metropolis walk method on the
five-dimensional potential-energy landscape, calculated with the
macroscopic-microscopic method for the three-quadratic-surface shape family.
Shape-dependent microscopic level densities are used to guide the random walk,
to partition the intrinsic excitation energy between the two proto-fragments at
scission, and to determine the spectrum of the neutrons evaporated from the
fragments. The contributions to the total excitation energy of the resulting
fragments from statistical excitation and shape distortion at scission is
studied. Good agreement is obtained with available experimental data on neutron
multiplicities in correlation with fission fragments from U(n,f). At higher neutron energies a superlong fission mode appears which
affects the dependence of the observables on the total fragment kinetic energy.Comment: 12 pages, 10 figure
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