58,036 research outputs found
Scissors Modes and Spin Excitations in Light Nuclei including =2 excitations: Behaviour of and
Shell model calculations are performed for magnetic dipole excitations in
and in which all valence configurations plus
excitations are allowed (large space). We study both the orbital
and spin excitations. The results are compared with the `valence space only'
calculations (small space). The cumulative energy weighted sums are calculated
and compared for the =0 to =1 excitations in and
for =1 to both =1 and = =2 excitations in
. We find for the =1 to =1 isovector
{\underline {spin}} transitions in that the summed strength in the
{\underline {large}} space is less than in the {\underline {small}} space. We
find that the high energy energy-weighted isovector orbital strength is smaller
than the low energy strength for transitions in which the isospin is changed,
but for =1 to =1 in the high energy strength
is larger. We find that the low lying orbital strength in is
anomalously small, when an attempt is made to correlate it with the
strength to the lowest states. On the other hand a sum rule of Zheng and
Zamick which concerns the total strength is reasonably satisfied in
both and . The Wigner supermultiplet scheme is a useful
guide in analyzing shell model results. In and with a
interaction the T=1 and T=2 scissors modes are degenerate, with the latter
carrying 5/3 of the T=1 strength.Comment: 51 pages, latex, 9 figures available upon reques
Nuclear Breathing Mode in the Relativistic Mean Field Theory
The breathing-mode giant monopole resonance is studied within the framework
of the relativistic mean-field (RMF) theory. Using a broad range of parameter
sets, an analysis of constrained incompressibility and excitation energy of
isoscalar monopole states in finite nuclei is performed. It is shown that the
non-linear scalar self-interaction and the resulting surface properties
influence the breathing-mode considerably. It is observed that dynamical
surface properties respond differently in the RMF theory than in the Skyrme
approach. A comparison is made with the incompressibility derived from the
semi-infinite nuclear matter and with constrained nonrelativistic Skyrme
Hartree-Fock calculaions.Comment: Latex (12 pages) and 3 figures (available upon request) J. Phys. G
(in press
The BCS theory of q-deformed nucleon pairs - qBCS
We construct a coherent state of q-deformed zero coupled nucleon pairs
distributed in several single-particle orbits. Using a variational approach,
the set of equations of qBCS theory, to be solved self consistently for
occupation probabilities, gap parameter Delta, and the chemical potential
lambda, is obtained. Results for valence nucleons in nuclear degenerate sdg
major shell show that the strongly coupled zero angular momentum nucleon pairs
can be substituted by weakly coupled q-deformed zero angular momentum nucleon
pairs. A study of Sn isotopes reveals a well defined universe of (G, q) values,
for which qBCS converges. While the qBCS and BCS show similar results for Gap
parameter Delta in Sn isotopes, the ground state energies are lower in qBCS.
The pairing correlations in N nucleon system, increase with increasing q (for q
real).Comment: 8 pages, REVTEX, 3 eps figure
The strength of nuclear shell effects at N=126 in the r-process region
We have investigated nuclear shell effects across the magic number N=126 in
the region of the r-process path. Microscopic calculations have been performed
using the relativistic Hartree-Bogoliubov approach within the framework of the
RMF theory for isotopic chains of rare-earth nuclei in the r-process region.
The Lagrangian model NL-SV1 with the inclusion of the vector self-coupling of
omega meson has been employed. The RMF results show that the shell effects at
N=126 remain strong and exhibit only a slight reduction in the strength in
going from the r-process path to the neutron drip line. This is in striking
contrast to a systematic weakening of the shell effects at N=82 in the
r-process region predicted earlier in the similar approach. In comparison the
shell effects with microscopic-macroscopic mass formulae show a near constancy
of shell gaps leading to strong shell effects in the region of r-process path
to the drip line. A recent analysis of solar-system r-process abundances in a
prompt supernova explosion model using various mass formulae including the
recently introduced mass tables based upon HFB approach shows that whilst mass
formulae with weak shell effects at N=126 give rise to a spread and an
overproduction of nuclides near the third abundance peak at A~190, mass tables
with droplet models showing stronger shell effects are able to reproduce the
abundance features near the third peak appropriately. In comparison, several
analyses of the second r-process peak at A~130 have required weakened shell
effects at N=82. Our predictions in the RMF theory with NL-SV1, which exhibit
weaker shell effects at N=82 and stronger one at N=126 in the r-process region,
support the conjecture that a different nature of the shell effects at the
magic numbers may be at play in r-process nucleosynthesis of heavy nuclei.Comment: 14 pages, 8 figures; submitted to Physical Review C. Part of this
work was presented at Nuclear Physics in Astrophysics II, 20th International
Nuclear Physics Divisional Conference of the European Physical Society, at
Debrecen, Hungary, May 16-20, 200
The nuclear shell effects near the r-process path in the relativistic Hartree-Bogoliubov theory
We have investigated the evolution of the shell structure of nuclei in going
from the r-process path to the neutron drip line within the framework of the
Relativistic Hartree-Bogoliubov (RHB) theory. By introducing the quartic
self-coupling of meson in the RHB theory in addition to the non-linear
scalar coupling of meson, we reproduce the available data on the shell
effects about the waiting-point nucleus Zn. With this approach, it is
shown that the shell effects at N=82 in the inaccessible region of the
r-process path become milder as compared to the Lagrangian with the scalar
self-coupling only. However, the shell effects remain stronger as compared to
the quenching exhibited by the HFB+SkP approach. It is also shown that in
reaching out to the extreme point at the neutron drip line, a terminal
situation arises where the shell structure at the magic number is washed out
significantly.Comment: 18 pages (revtex), 8 ps figures, to appear in Phys. Rev.
Phenomenology of the minimal supersymmetric extension of the standard model
We discuss the minimal supersymmetric extension of
the standard model. Gauge couplings unify as in the MSSM, even if the scale of
breaking is as low as order TeV and the model can be
embedded into an SO(10) grand unified theory. The phenomenology of the model
differs in some important aspects from the MSSM, leading potentially to rich
phenomenology at the LHC. It predicts more light Higgs states and the mostly
left CP-even Higgs has a mass reaching easily 125 GeV, with no constraints on
the SUSY spectrum. Right sneutrinos can be the lightest supersymmetric
particle, changing all dark matter constraints on SUSY parameter space. The
model has seven neutralinos and squark/gluino decay chains involve more
complicated cascades than in the MSSM. We also discuss briefly low-energy and
accelerator constraints on the model, where the most important limits come from
recent searches at the LHC and upper limits on lepton flavour violation.Comment: 46 pages, 11 figure
Gradient Clogging in Depth Filtration
We investigate clogging in depth filtration, in which a dirty fluid is
``cleaned'' by the trapping of dirt particles within the pore space during flow
through a porous medium. This leads to a gradient percolation process which
exhibits a power law distribution for the density of trapped particles at
downstream distance x from the input. To achieve a non-pathological clogging
(percolation) threshold, the system length L should scale no faster than a
power of ln w, where w is the width. Non-trivial behavior for the permeability
arises only in this extreme anisotropic geometry.Comment: 4 pages, 3 figures, RevTe
Bound State Solutions of Klein-Gordon Equation with the Kratzer Potential
The relativistic problem of spinless particle subject to a Kratzer potential
is analyzed. Bound state solutions for the s-wave are found by separating the
Klein-Gordon equation in two parts, unlike the similar works in the literature,
which provides one to see explicitly the relativistic contributions, if any, to
the solution in the non-relativistic limit.Comment: 6 page
Electronic screening and damping in magnetars
We calculate the screening of the ion-ion potential due to electrons in the
presence of a large background magnetic field, at densities of relevance to
neutron star crusts. Using the standard approach to incorporate electron
screening through the one-loop polarization function, we show that the magnetic
field produces important corrections both at short and long distances. In
extreme fields, realized in highly magnetized neutron stars called magnetars,
electrons occupy only the lowest Landau levels in the relatively low density
region of the crust. Here our results show that the screening length for
Coulomb interactions between ions can be smaller than the inter-ion spacing.
More interestingly, we find that the screening is anisotropic and the screened
potential between two static charges exhibits long range Friedel oscillations
parallel to the magnetic field. This long-range oscillatory behavior is likely
to affect the lattice structure of ions, and can possibly create rod-like
structures in the magnetar crusts. We also calculate the imaginary part of the
electron polarization function which determines the spectrum of electron-hole
excitations and plays a role in damping lattice phonon excitations. We
demonstrate that even for modest magnetic fields this damping is highly
anisotropic and will likely lead to anisotropic phonon heat transport in the
outer neutron star crust.Comment: 14 pages, 5 Figure
Uncertainties In Direct Neutron Capture Calculations Due To Nuclear Structure Models
The prediction of cross sections for nuclei far off stability is crucial in
the field of nuclear astrophysics. For spherical nuclei close to the dripline
the statistical model (Hauser-Feshbach) approach is not applicable and direct
contributions may dominate the cross sections. For neutron-rich, even-even Sn
targets, we compare the resulting neutron capture cross sections when
consistently taking the input for the direct capture calculations from three
different microscopic models. The results underline the sensitivity of cross
sections calculated in the direct model to nuclear structure models which can
lead to high uncertainties when lacking experimental information.Comment: 4 pages, using espcrc1.sty, Proc. Intl. Conf. "Nuclei in the Cosmos
IV", Univ. Notre Dame 1996, Nucl. Phys. A, in press. A postscript version can
also be obtained from http://quasar.physik.unibas.ch/research.htm
- …