117 research outputs found
Transfer reactions in the sudden limit of the pairing-rotor model
The transfer of multiple pairs of particles in heavy-ion reactions is studied in the sudden limit of the macroscopic pairing-rotor model
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Developments in sub-barrier reactions
The study of sub-barrier reactions has developed in recent years to include a broad range of interconnected phenomena. The initial discoveries of enhanced sub-barrier fusion cross sections and the attempts to understand them in terms of couplings to other reactions channels have stimulated investigations into all aspects of heavy-ion collisions at low bombarding energies. As a result, new effects have been observed and new ideas are being put forward. The present talk gives an overview of some current themes in this field. Perhaps the most encompassing development is that one can no longer think of the low energy fusion reaction as an isolated phenomenon, since the fusion rates depend crucially on the presence of other reaction channels. Thus, one wants to know what are the properties of these channels and then how to use this knowledge to explain the fusion rates quantitatively. Generally speaking, quite a number of sub-barrier fusion reactions have been measured but the other reactions which occur have been isolated in a relatively few cases. It is also generally true that theoretical sub-barrier fusion calculations have been successful for a limited range of fairly light mass systems. Thus, the field continues to be a challenging area of research. Going beyond the problem of understanding the fusion mechanism, there have been interesting new developments in all of the reaction classes that have been studied at sub-barrier energies, namely, elastic scattering, inelastic excitation, transfer reactions and deep inelastic collisions. A brief discussion of each of these subjects and how they relate to fusion will be given below. In addition, the important subject of compound nuclear spin distributions produced in fusion reactions will be noted. 20 refs., 9 figs
Fusion of light proton-rich exotic nuclei at near-barrier energies
We study theoretically fusion of the light proton-rich exotic nuclei F
and B at near-barrier energies in order to investigate the possible role of
breakup processes on their fusion cross sections. To this end, coupled channel
calculations are performed considering the couplings to the breakup channels of
these projectiles. In case of F, the coupling arising out of the
inelastic excitation from the ground state to the bound excited state and its
couplings to the continuum have also been taken into consideration. It is found
that the inelastic excitation/breakup of F affect the fusion cross
sections very nominally even for a heavy target like Pb. On the other hand,
calculations for fusion of the one-proton halo nucleus B on a Pb target
show a significant suppression of the complete fusion cross section above the
Coulomb barrier. This is due to the larger breakup probability of B as
compared to that of F. However, even for B, there is little change
in the complete fusion cross sections as compared to the no-coupling case at
sub-barrier energies.Comment: 11 pages, 3 figures, Revtex.st
Fusion of light exotic nuclei at near-barrier energies : effect of inelastic excitation
The effect of inelastic excitation of exotic light projectiles (proton- as
well as neutron-rich) F and Be on fusion with heavy target has
been studied at near-barrier energies. The calculations have been performed in
the coupled channels approach where, in addition to the normal coupling of the
ground state of the projectile to the continuum, inelastic excitation of the
projectile to the bound excited state and its coupling to the continuum have
also been taken into consideration. The inclusion of these additional couplings
has been found to have significant effect on the fusion excitation function of
neutron-rich Be on Pb whereas the effect has been observed to be
nominal for the case of proton-rich F on the same target. The pronounced
effect of the channel coupling on the fusion process in case of Be is
attributed to its well-developed halo structure.Comment: 9 pages, 3 figures, Revtex.st
Fusion barrier distributions in systems with finite excitation energy
Eigen-channel approach to heavy-ion fusion reactions is exact only when the
excitation energy of the intrinsic motion is zero. In order to take into
account effects of finite excitation energy, we introduce an energy dependence
to weight factors in the eigen-channel approximation. Using two channel
problem, we show that the weight factors are slowly changing functions of
incident energy. This suggests that the concept of the fusion barrier
distribution still holds to a good approximation even when the excitation
energy of the intrinsic motion is finite. A transition to the adiabatic
tunneling, where the coupling leads to a static potential renormalization, is
also discussed.Comment: 9 pages, 4 figures, Submitted to Physical Review
Effect of continuum couplings in fusion of halo Be on Pb around the Coulomb barrier
The effect of continuum couplings in the fusion of the halo nucleus Be
on Pb around the Coulomb barrier is studied using a three-body model
within a coupled discretised continuum channels (CDCC) formalism. We
investigate in particular the role of continuum-continuum couplings. These are
found to hinder total, complete and incomplete fusion processes. Couplings to
the projectile bound excited state redistribute the complete and
incomplete fusion cross sections, but the total fusion cross section remains
nearly constant. Results show that continuum-continuum couplings enhance the
irreversibility of breakup and reduce the flux that penetrates the Coulomb
barrier. Converged total fusion cross sections agree with the experimental ones
for energies around the Coulomb barrier, but underestimate those for energies
well above the Coulomb barrier.Comment: 15 pages, 7 figures, accepted in Phys. Rev.
Quantum Tunneling in Nuclear Fusion
Recent theoretical advances in the study of heavy ion fusion reactions below
the Coulomb barrier are reviewed. Particular emphasis is given to new ways of
analyzing data, such as studying barrier distributions; new approaches to
channel coupling, such as the path integral and Green function formalisms; and
alternative methods to describe nuclear structure effects, such as those using
the Interacting Boson Model. The roles of nucleon transfer, asymmetry effects,
higher-order couplings, and shape-phase transitions are elucidated. The current
status of the fusion of unstable nuclei and very massive systems are briefly
discussed.Comment: To appear in the January 1998 issue of Reviews of Modern Physics. 13
Figures (postscript file for Figure 6 is not available; a hard copy can be
requested from the authors). Full text and figures are also available at
http://nucth.physics.wisc.edu/preprints
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