431 research outputs found
Nuclear Breakup of Borromean Nuclei
We study the eikonal model for the nuclear-induced breakup of Borromean
nuclei, using Li11 and He6 as examples. The full eikonal model is difficult to
realize because of six-dimensional integrals, but a number of simplifying
approximations are found to be accurate. The integrated diffractive and
one-nucleon stripping cross sections are rather insensitive to the
neutron-neutron correlation, but the two-nucleon stripping does show some
dependence on the correlation. The distribution of excitation energy in the
neutron-core final state in one-neutron stripping reactions is quite sensitive
to the shell structure of the halo wave function. Experimental data favor
models with comparable amounts of s- and p-wave in the Li11 halo.Comment: 34 pages REVTeX, 14 postscript figures. Small changes in comparison
with experimen
Charge radius and dipole response of Li
We investigate the consistency of the measured charge radius and dipole
response of Li within a three-body model. We show how these observables
are related to the mean square distance between the Li core and the center
of mass of the two valence neutrons. In this representation we find by
considering the effect of smaller corrections that the discrepancy between the
results of the two measurements is of the order of 1.5. We also
investigate the sensitivity to the three-body structure of Li and find
that the charge radius measurement favors a model with a 50% s-wave component
in the ground state of the two-neutron halo, whereas the dipole response is
consistent with a smaller s-wave component of about 25% value.Comment: 6 pages, 3 figure
Signature of Shallow Potentials in Deep Sub-barrier Fusion Reactions
We extend a recent study that explained the steep falloff in the fusion cross
section at energies far below the Coulomb barrier for the symmetric dinuclear
system 64Ni+64Ni to another symmetric system, 58Ni+58Ni, and the asymmetric
system 64Ni+100Mo. In this scheme the very sensitive dependence of the internal
part of the nuclear potential on the nuclear equation of state determines a
reduction of the classically allowed region for overlapping configurations and
consequently a decrease in the fusion cross sections at bombarding energies far
below the barrier. Within the coupled-channels method, including couplings to
the low-lying 2+ and 3- states in both target and projectile as well as mutual
and two-phonon excitations of these states, we calculate and compare with the
experimental fusion cross sections, S-factors, and logarithmic derivatives for
the above mentioned systems and find good agreement with the data even at the
lowest energies. We predict, in particular, a distinct double peaking in the
S-factor for the far subbarrier fusion of 58Ni+58Ni which should be tested
experimentally.Comment: 34 pages, 10 figures, to appear in Phys. Rev.
Recent developments in the eikonal description of the breakup of exotic nuclei
The study of exotic nuclear structures, such as halo nuclei, is usually
performed through nuclear reactions. An accurate reaction model coupled to a
realistic description of the projectile is needed to correctly interpret
experimental data. In this contribution, we briefly summarise the assumptions
made within the modelling of reactions involving halo nuclei. We describe
briefly the Continuum-Discretised Coupled Channel method (CDCC) and the
Dynamical Eikonal Approximation (DEA) in particular and present a comparison
between them for the breakup of 15C on Pb at 68AMeV. We show the problem faced
by the models based on the eikonal approximation at low energy and detail a
correction that enables their extension down to lower beam energies. A new
reaction observable is also presented. It consists of the ratio between angular
distributions for two different processes, such as elastic scattering and
breakup. This ratio is completely independent of the reaction mechanism and
hence is more sensitive to the projectile structure than usual reaction
observables, which makes it a very powerful tool to study exotic structures far
from stability.Comment: Contribution to the proceedings of the XXI International School on
Nuclear Physics and Applications & the International Symposium on Exotic
Nuclei, dedicated to the 60th Anniversary of the JINR (Dubna) (Varna,
Bulgaria, 6-12 September 2015), 7 pages, 4 figure
Path integral approach to no-Coriolis approximation in heavy-ion collisions
We use the two time influence functional method of the path integral approach
in order to reduce the dimension of the coupled-channels equations for
heavy-ion reactions based on the no-Coriolis approximation. Our method is
superior to other methods in that it easily enables us to study the cases where
the initial spin of the colliding particle is not zero. It can also be easily
applied to the cases where the internal degrees of freedom are not necessarily
collective coordinates. We also clarify the underlying assumptions in our
approach.Comment: 11 pages, Latex, Phys. Rev. C in pres
Systematics of heavy-ion fusion hindrance at extreme sub-barrier energies
The recent discovery of hindrance in heavy-ion induced fusion reactions at
extreme sub-barrier energies represents a challenge for theoretical models.
Previously, it has been shown that in medium-heavy systems, the onset of fusion
hindrance depends strongly on the "stiffness" of the nuclei in the entrance
channel. In this work, we explore its dependence on the total mass and the
-value of the fusing systems and find that the fusion hindrance depends in a
systematic way on the entrance channel properties over a wide range of systems.Comment: Submitted to Phys. Rev. Lett., 5 pages, 3 figure
Coulomb excitation at intermediate energies
Straight line trajectories are commonly used in semi-classical calculations
of the first-order Coulomb excitation cross section at intermediate energies,
and simple corrections are often made for the distortion of the trajectories
that is caused by the Coulomb field. These approximations are tested by
comparing to numerical calculations that use exact Coulomb trajectories. In
this paper a model is devised for including relativistic effects in the
calculations. It converges at high energies towards the relativistic
straight-line trajectory approximation and approaches the non-relativistic
Coulomb trajectory calculation at low energies. The model is tested against a
number of measurements and analyses that have been performed at beam energies
between 30 and 70 MeV/nucleon, primarily of quadrupole excitations. Remarkably
good agreement is achieved with the previous analyses, and good agreement is
also achieved in the few cases, where the B(E) value is known from
other methods. The magnitudes of the relativistic and Coulomb distortion
effects are discussed
3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
We present a study of fusion cross sections using a new generation
Time-Dependent Hartree-Fock (TDHF) code which contains no approximations
regarding collision geometry and uses the full Skyrme interaction, including
all of the time-odd terms. In addition, the code uses the Basis-Spline
collocation method for improved numerical accuracy. A comparative study of
fusion cross sections for is made with the older TDHF
results and experiments. We present results using the modern Skyrme forces and
discuss the influence of the new terms present in the interaction.Comment: 7 pages, 10 figure
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