127 research outputs found
Global Properties of Spherical Nuclei Obtained from Hartree-Fock-Bogoliubov Calculations with the Gogny Force
Selfconsistent Hartree-Fock-Bogoliubov (HFB) calculations have been performed
with the Gogny force for nuclei along several constant Z and constant N chains,
with the purpose of extracting the macroscopic part of the binding energy using
the Strutinsky prescription. The macroscopic energy obtained in this way is
compared to current liquid drop formulas. The evolution of the single particle
levels derived from the HFB calculations along the constant Z and constant N
chains and the variations of the different kinds of nuclear radii are also
analysed. Those radii are shown to follow isospin-dependent three parameter
laws close to the phenomenological formulas which reproduce experimental data.Comment: 17 pages in LaTeX and 17 figures in eps. Phys. Rev. C, accepted for
publicatio
The Neutron Halo in Heavy Nuclei Calculated with the Gogny Force
The proton and neutron density distributions, one- and two-neutron separation
energies and radii of nuclei for which neutron halos are experimentally
observed, are calculated using the self-consistent Hartree-Fock-Bogoliubov
method with the effective interaction of Gogny. Halo factors are evaluated
assuming hydrogen-like antiproton wave functions. The factors agree well with
experimental data. They are close to those obtained with Skyrme forces and with
the relativistic mean field approach.Comment: 13 pages in Latex and 17 figures in ep
Giant resonances in exotic spherical nuclei within the RPA approach with the Gogny force
Theoretical results for giant resonances in the three doubly magic exotic
nuclei Ni, Sn and Sn are obtained from Hartree-Fock (HF)
plus Random Phase Approximation (RPA) calculations using the D1S
parametrization of the Gogny two-body effective interaction. Special attention
is paid to full consistency between the HF field and the RPA particle-hole
residual interaction. The results for the exotic nuclei, on average, appear
similar to those of stable ones, especially for quadrupole and octupole states.
More exotic systems have to be studied in order to confirm such a trend. The
low energy of the monopole resonance in Ni suggests that the compression
modulus in this neutron rich nucleus is lower than the one of stable ones.Comment: 16 pages, 10 figure
Nucleon Flow and Fragment Flow in Heavy Ion Reactions
The collective flow of nucleons and that of fragments in the 12C + 12C
reaction below 150 MeV/nucleon are calculated with the antisymmetrized version
of molecular dynamics combined with the statistical decay calculation. Density
dependent Gogny force is used as the effective interaction. The calculated
balance energy is about 100 MeV/nucleon, which is close to the observed value.
Below the balance energy, the absolute value of the fragment flow is larger
than that of nucleon flow, which is also in accordance with data. The
dependence of the flow on the stochastic collision cross section and its origin
are discussed. All the results are naturally understood by introducing the
concept of two components of flow: the flow of dynamically emitted nucleons and
the flow of the nuclear matter which contributes to both the flow of fragments
and the flow of nucleons due to the statistical decay.Comment: 20 pages, PostScript figures, LaTeX with REVTeX and EPSF, KUNS 121
Mean-Field Description of Fusion Barriers with Skyrme's Interaction
Fusion barriers are determined in the framework of the Skyrme energy-density
functional together with the semi-classical approach known as the Extended
Thomas-Fermi method. The barriers obtained in this way with the Skyrme
interaction SkM* turn out to be close to those generated by phenomenological
models like those using the proximity potentials. It is also shown that the
location and the structure of the fusion barrier in the vicinity of its maximum
and beyond can be quite accurately described by a simple analytical form
depending only on the masses and the relative isospin of target and projectile
nucleus.Comment: 7 pages, latex, 5 figure
Microscopic Transport Theory of Nuclear Processes
We formulate a microscopic theory of the decay of a compound nucleus through
fission which generalizes earlier microscopic approaches of fission dynamics
performed in the framework of the adiabatic hypothesis. It is based on the
constrained Hartree-Fock-Bogoliubov procedure and the Generator Coordinate
Method, and requires an effective nucleon-nucleon interaction as the only input
quantity. The basic assumption is that the slow evolution of the nuclear shape
must be treated explicitely, whereas the rapidly time-dependent intrinsic
excitations can be treated by statistical approximations. More precisely, we
introduce a reference density which represents the slow evolution of the
nuclear shape by a reduced density matrix and the state of intrinsic
excitations by a canonical distribution at each given shape of the nucleus. The
shape of the nuclear density distribution is described by parameters
("generator coordinates"), not by "superabundant" degrees of freedom introduced
in addition to the complete set of nucleonic degrees of freedom. We first
derive a rigorous equation of motion for the reference density and,
subsequently, simplify this equation on the basis of the Markov approximation.
The temperature which appears in the canonical distribution is determined by
the requirement that, at each time t, the reference density should correctly
reproduce the mean excitation energy at given values of the shape parameters.
The resulting equation for the "local" temperature must be solved together with
the equations of motion obtained for the reduced density matrix.Comment: 33 pages, accepted in Nucl. Phys.
Semiclassical Approximation to Neutron Star Superfluidity Corrected for Proximity Effects
The inner crust of a neutron star is a superfluid and inhomogeneous system,
consisting of a lattice of nuclei immersed in a sea of neutrons. We perform a
quantum calculation of the associated pairing gap and compare it to the results
one obtains in the Local Density Approximation (LDA). It is found that the LDA
overestimates the spatial dependence of the gap, and leads to a specific heat
of the system which is too large at low temperatures, as compared with the
quantal result. This is caused by the neglect of proximity effects and the
delocalized character of the single-particle wavefunctions close to the Fermi
energy. It is possible to introduce an alternative, simple semiclassical
approximation of the pairing gap which leads to a specific heat that is in good
agreement with the quantum calculation.Comment: RevteX, 8 Postscript Figure
Effect of differences in proton and neutron density distributions on fission barriers
The neutron and proton density distributions obtained in constrained
Hartree-Fock-Bogolyubov calculations with the Gogny force along the fission
paths of 232Th, 236U, 238U and 240Pu are analyzed.
Significant differences in the multipole deformations of neutron and proton
densities are found. The effect on potential energy surfaces and on barrier
heights of an additional constraint imposing similar spatial distributions to
neutrons and protons, as assumed in macroscopic-microscopic models, is studied.Comment: 5 pages in Latex, 4 figures in ep
Antisymmetrized molecular dynamics with quantum branching processes for collisions of heavy nuclei
Antisymmetrized molecular dynamics (AMD) with quantum branching processes is
reformulated so that it can be applicable to the collisions of heavy nuclei
such as Au + Au multifragmentation reactions. The quantum branching process due
to the wave packet diffusion effect is treated as a random term in a
Langevin-type equation of motion, whose numerical treatment is much easier than
the method of the previous papers. Furthermore a new approximation formula,
called the triple-loop approximation, is introduced in order to evaluate the
Hamiltonian in the equation of motion with much less computation time than the
exact calculation. A calculation is performed for the Au + Au central
collisions at 150 MeV/nucleon. The result shows that AMD almost reproduces the
copious fragment formation in this reaction.Comment: 24 pages, 5 figures embedde
Coordinate-Space Hartree-Fock-Bogoliubov Description of Superfluid Fermi Systems
Properties of strongly interacting, two-component finite Fermi systems are
discussed within the recently developed coordinate-space
Hartree-Fock-Bogoliubov (HFB) code {\hfbax}. Two illustrative examples are
presented: (i) weakly bound deformed Mg isotopes, and (ii) spin-polarized
atomic condensates in a strongly deformed harmonic trap.Comment: 4 pages, 2 figures, ENAM 2008 conference proceedings (EPJA
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