8,172 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
Calculating the nuclear mass at finite angular momenta
Mean field methods to calculate the nuclear mass are extended into the high
spin regime to calculate the nuclear binding energy as a function of proton
number, neutron number and angular momentum. Comparing the trend as a function
of mass number for a selection of high-spin states, a similar agreement between
theory and experiment is obtained as for ground state masses.Comment: 4 pages, 3 figure
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
Observational manifestations of solar magneto-convection -- center-to-limb variation
We present the first center-to-limb G-band images synthesized from high
resolution simulations of solar magneto-convection. Towards the limb the
simulations show "hilly" granulation with dark bands on the far side, bright
granulation walls and striated faculae, similar to observations. At disk center
G-band bright points are flanked by dark lanes. The increased brightness in
magnetic elements is due to their lower density compared with the surrounding
intergranular medium. One thus sees deeper layers where the temperature is
higher. At a given geometric height, the magnetic elements are cooler than the
surrounding medium. In the G-band, the contrast is further increased by the
destruction of CH in the low density magnetic elements. The optical depth unity
surface is very corrugated. Bright granules have their continuum optical depth
unity 80 km above the mean surface, the magnetic elements 200-300 km below. The
horizontal temperature gradient is especially large next to flux
concentrations. When viewed at an angle, the deep magnetic elements optical
surface is hidden by the granules and the bright points are no longer visible,
except where the "magnetic valleys" are aligned with the line of sight. Towards
the limb, the low density in the strong magnetic elements causes unit
line-of-sight optical depth to occur deeper in the granule walls behind than
for rays not going through magnetic elements and variations in the field
strength produce a striated appearance in the bright granule walls.Comment: To appear in ApJL. 6 pages 4 figure
- …