1,127 research outputs found
Determination of the parameters of a Skyrme type effective interaction using the simulated annealing approach
We implement for the first time the simulated annealing method (SAM) to the
problem of searching for the global minimum in the hyper-surface of the
chi-square function which depends on the values of the parameters of a Skyrme
type effective nucleon-nucleon interaction. We undertake a realistic case of
fitting the values of the Skyrme parameters to an extensive set of experimental
data on the ground state properties of many nuclei ranging from normal to
exotic ones. The set of experimental data used in our fitting procedure
includes the radii for the valence and neutron orbits in
the O and Ca nuclei, respectively, and the breathing mode
energies for several nuclei, in addition to the typically used data on binding
energy, charge radii and spin-orbit splitting. We also include in the fit the
critical density and further constrain the values of the Skyrme
parameters by requiring that (i) the quantity ,
directly related to the slope of the symmetry energy , must be positive for
densities up to (ii) the enhancement factor , associated with
the isovector giant dipole resonance, should lie in the range of
and (iii) the Landau parameter is positive at . We
provide simple but consistent schemes to account for the center of mass
corrections to the binding energy and charge radii.Comment: 33 pages, 4 figures, Phys. Rev. C (in press
Critical densities for the Skyrme type effective interactions
We use the stability conditions of the Landau parameters for the symmetric
nuclear matter and pure neutron matter to calculate the critical densities for
the Skyrme type effective nucleon-nucleon interactions. We find that the
critical density can be maximized by adjusting appropriately the values of the
enhancement factor associated with isovector giant dipole resonance,
the quantity which is directly related to the slope of the symmetry energy
and the Landau parameter . However, restricting , and
to vary within acceptable limits reduces the maximum value for the
critical density by . We also show that among the
various quantities characterizing the symmetric nuclear matter,
depends strongly on the isoscalar effective mass and
surface energy coefficient . For realistic values of and we
get to (fm).Comment: 10 pages, 3 figures. Physicsl Review C (in press
Consequences of self-consistency violations in Hartree-Fock random-phase approximation calculations of the nuclear breathing mode energy
We provide for the first time accurate assessments of the consequences of
violations of self-consistency in the Hartree-Fock based random phase
approximation (RPA) as commonly used to calculate the energy of the
nuclear breathing mode. Using several Skyrme interactions we find that the
self-consistency violated by ignoring the spin-orbit interaction in the RPA
calculation causes a spurious enhancement of the breathing mode energy for spin
unsaturated systems. Contrarily, neglecting the Coulomb interaction in the RPA
or performing the RPA calculations in the TJ scheme underestimates the
breathing mode energy. Surprisingly, our results for the Zr and
Pb nuclei for several Skyrme type effective nucleon-nucleon
interactions having a wide range of nuclear matter incompressibility ( MeV) and symmetry energy ( MeV) indicate that
the net uncertainty ( MeV) is comparable to the
experimental one.Comment: Revtex file (11 pages), Accepted for the publication in Phys. Rev.
Continuous phase transition and negative specific heat in finite nuclei
The liquid-gas phase transition in finite nuclei is studied in a heated
liquid-drop model where the nuclear drop is assumed to be in thermodynamic
equilibrium with its own evaporated nucleonic vapor conserving the total baryon
number and isospin of the system. It is found that in the liquid-vapor
coexistence region the pressure is not a constant on an isotherm indicating
that the transition is continuous. At constant pressure, the caloric curve
shows some anomalies, namely, the systems studied exhibit negative heat
capacity in a small temperature domain. The dependence of this specific feature
on the mass and isospin of the nucleus, Coulomb interaction and the chosen
pressure is studied. The effects of the presence of clusters in the vapor phase
on specific heat have also been explored.Comment: 18 pages, 13 figures; Phys. Rev. C (in press
Isoscalar Giant Dipole Resonance and Nuclear Matter Incompressibility Coefficient
We present results of microscopic calculations of the strength function,
S(E), and alpha-particle excitation cross sections sigma(E) for the isoscalar
giant dipole resonance (ISGDR). An accurate and a general method to eliminate
the contributions of spurious state mixing is presented and used in the
calculations. Our results provide a resolution to the long standing problem
that the nuclear matter incompressibility coefficient, K, deduced from sigma(E)
data for the ISGDR is significantly smaller than that deduced from data for the
isoscalar giant monopole resonance (ISGMR).Comment: 4 pages using revtex 3.0, 3 postscript figures created by Mathematica
4.
Nuclear matter incompressibility coefficient in relativistic and nonrelativistic microscopic models
We systematically analyze the recent claim that nonrelativistic and
relativistic mean field (RMF) based random phase approximation (RPA)
calculations for the centroid energy E_0 of the isoscalar giant monopole
resonance yield for the nuclear matter incompressibility coefficient, K_{nm},
values which differ by about 20%. For an appropriate comparison with the RMF
based RPA calculations, we obtain the parameters for the Skyrme force used in
the nonrelativistic model by adopting the same procedure as employed in the
determination of the NL3 parameter set of an effective Lagrangian used in the
RMF model. Our investigation suggest that the discrepancy between the values of
K_{nm} predicted by the relativistic and nonrelativistic models is
significantly less than 20%.Comment: Revtex file (13 pages), appearing in PRC-Rapid Com
Exploring the extended density-dependent Skyrme effective forces for normal and isospin-rich nuclei to neutron stars
We parameterize the recently proposed generalized Skyrme effective force
(GSEF) containing extended density dependence. The parameters of the GSEF are
determined by the fit to several properties of the normal and isospin-rich
nuclei. We also include in our fit a realistic equation of state for the pure
neutron matter up to high densities so that the resulting Skyrme parameters can
be suitably used to model the neutron star with the "canonical" mass (). For the appropriate comparison we generate a parameter set for the
standard Skyrme effective force (SSEF) using exactly the same set of the data
as employed to determine the parameters of the GSEF. We find that the GSEF
yields larger values for the neutron skin thickness which are closer to the
recent predictions based on the isospin diffusion data. The Skyrme parameters
so obtained are employed to compute the strength function for the isoscalar
giant monopole, dipole and quadrupole resonances. It is found that in the case
of GSEF, due to the the larger value of the nucleon effective mass the values
of centroid energies for the isoscalar giant resonances are in better agreement
with the corresponding experimental data in comparison to those obtained using
the SSEF. We also present results for some of the key properties associated
with the neutron star of "canonical" mass and for the one with the maximum
mass.Comment: 45pages, 16 figure
Attributional style of African-American adolescents
This study ascertains how positive and negative life events are viewed by stigmatized youngsters. The causal attributions of a sample of 139 at -risk AfricanAmerican adolescents are analyzed in a doubly multivariate repeated measures design. These students were participants in either the federally funded Summer Training and Education Program or the Student Academic and Leadership Enhancement Program funded by the Detroit Compact. Previous research on these students indicated that they have higher than norm global self-concepts and their locus of control is more external than would be expected for their age. The findings of the current study suggest that the attributions these youngsters ascribed to positive events were significantly more internal, stable, and global than the attributions for negative events. An ancillary outcome of this study is to report psychometric information regarding the use of The Attributional Style Questionnaire
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