1,542 research outputs found
Comparison of Transfer-to-Continuum and Eikonal Models of Projectile Fragmentation Reactions
Spectroscopic properties of nuclei are accessible with projectile
fragmentation reactions, but approximations made in the reaction theory can
limit the accuracy of the determinations. We examine here two models that have
rather different approximations for the nucleon wave function, the target
interaction, and the treatment of the finite duration of the reaction. The
nucleon-target interaction is treated differently in the eikonal and the
transfer-to-continuum model, but the differences are more significant for light
targets. We propose a new parameterization with that in mind. We also propose a
new formula to calculate the amplitude that combines the better treatment of
the wave function in the eikonal model with the better treatment of the target
interaction in the transfer-to-continuum model.Comment: 21 pages, latex file including 3 tables. 5 figures. Submitted to
Phys. Rev.
Coulomb breakup effects on the optical potentials of weakly bound nuclei
The optical potential of halo and weakly bound nuclei has a long range part
due to the coupling to breakup that damps the elastic scattering angular
distributions. In order to describe correctly the breakup channel in the case
of scattering on a heavy target, core recoil effects have to be taken into
account. We show here that core recoil and nuclear breakup of the valence
nucleon can be consistently taken into account. A microscopic absorptive
potential is obtained within a semiclassical approach and its characteristics
can be understood in terms of the properties of the halo wave function and of
the reaction mechanism. Results for the case of medium to high energy reactions
are presented.Comment: 25 latex pages, 4 tables, 6 figures. Submitted to Nucl. Phys.
Unbound exotic nuclei studied by transfer to the continuum reactions
In this paper we show that the theory of transfer reactions from bound to
continuum states is well suited to extract structure information from data
obtained by performing "spectroscopy in the continuum". The low energy unbound
states of nuclei such as Li and He can be analyzed and the
neutron-core interaction, necessary to describe the corresponding borromean
nuclei Li and He can be determined in a semi-phenomenological way.
An application to the study of Li is then discussed and it is shown that
the scattering length for s-states at threshold can be obtained from the ratio
of experimental and theoretical cross sections. The scattering single particle
states of the system n+Li are obtained in a potential model. The
corresponding S-matrix is used to calculate the transfer cross section as a
function of the neutron continuum energy with respect to Li. Three
different reactions are calculated ,
, , to check the
sensitivity of the results to the target used and in particular to the transfer
matching conditions. Thus the sensitivity of the structure information
extracted from experimental data on the reaction mechanism is assessed.Comment: 21 pages, 5 ps figures, accepted for publication on Nucl. Phys.
A non-perturbative approach to halo breakup
The theory of weakly bound cluster breakup, like halo nucleus breakup, needs
an accurate treatment of the transitions from bound to continuum states induced
by the nuclear and Coulomb potentials. When the transition probability is not
very small, a non-perturbative framework might be necessary. Nuclear excitation
dominates at small impact parameters whereas the Coulomb potential being long
range acts over a larger impact parameter interval. In this article, we propose
an effective breakup amplitude which meets a number of requirements necessary
for an accurate quantitative description of the breakup reaction mechanism.
Furthermore our treatment gives some insight on the interplay between time
dependent perturbation theory and sudden approximation and it allows to include
the nuclear and Coulomb potentials to all orders within an eikonal-like
framework.Comment: 22 Latex pages, 1 table, 8 eps figures. Accepted for publication on
Nucl. Phys.
Initial State Dependence of the Breakup of Weakly Bound Carbon Isotopes
The one-neutron nuclear breakup from the Carbon isotopes C and
C, is calculated as an example of application of the theory of transfer
to the continuum reactions in the formulation which includes spin coupling.
The effect of the energy sharing between the parallel and transverse neutron
momentum distributions is taken into account thus resulting in a theory which
is more general than sudden eikonal approaches. Both effects are necessary to
understand properly the breakup from not too weakly bound orbitals.
Breakup which leaves the core into an excited state below particle threshold is
also considered. The core-target interaction is treated in the smooth cut-off
approximation. By comparing to presently available experimental data we show
how to make some hypothesis on the quantum numbers and occupancy of the neutron
initial state. Possible ambiguities in the interpretation of inclusive cross
sections are discussed.Comment: 22 RevTeX pages,3 ps figures. Phys. Rev. C, accepte
Viscoelastic Multicomponent Fluids in confined Flow-Focusing Devices
The effects of elasticity on the break-up of liquid threads in microfluidic
cross-junctions is investigated using numerical simulations based on the
"lattice Boltzmann models" (LBM). Working at small Capillary numbers, we
investigate the effects of non-Newtonian phases in the transition from droplet
formation at the cross-junction (DCJ) and droplet formation downstream of the
cross-junction (DC) (Liu & Zhang, , 082101
(2011)). Viscoelasticity is found to influence the break-up point of the
threads, which moves closer to the cross-junction and stabilizes. This is
attributed to an increase of the polymer feedback stress forming in the corner
flows, where the side channels of the device meet the main channel.Comment: 4 pages, 2 figures, AIP Conference Proceedings, 201
Unbound exotic nuclei studied by projectile fragmentation
We call "projectile fragmentation" of neutron halo nuclei the elastic breakup
(diffraction) reaction, when the observable studied is the neutron-core
relative energy spectrum. This observable has been measured in relation to the
Coulomb breakup on heavy target and recently also on light targets. Such data
enlighten the effect of the neutron final state interaction with the core of
origin. Projectile fragmentation is studied here by a time dependent model for
the excitation of a nucleon from a bound state to a continuum resonant state in
a neutron-core complex potential which acts as a final state interaction.
The final state is described by an optical model S-matrix so that both
resonant and non resonant states of any continuum energy can be studied as well
as deeply bound initial states. It turns out that due to the coupling between
the initial and final states, the neutron-core free particle phase shifts are
modified, in the exit channel, by an additional phase.
Some typical numerical calculations for the relevant observables are
presented and compared to experimental data. It is suggest that the excitation
energy spectra of an unbound nucleus might reflect the structure of the parent
nucleus from whose fragmentation they are obtained.Comment: Proceedings of the 11th Conference on Problems in Theoretican Nuclear
Physics, Cortona, Italy, 2006. World Scientifi
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