385 research outputs found
A New Coupling Potential for the Scattering of Deformed Light Heavy-Ions
This letter introduces a new coupling potential to explain the experimental
data over wide energy ranges for a number of systems. Within the
coupled-channels formalism, this letter first shows the limitations of the
standard coupled-channels theory in the case where one of the nuclei in the
reaction is strongly deformed and then, demonstrates that a global solution to
the problems of light heavy-ion reactions such as C+C,
O+Si and C+Mg can be found using a new
second-derivative coupling potential in the coupled-channels formalism. This
new approach consistently improves the agreement with the experimental data for
the elastic and inelastic scattering data as well as for their excitation
functions using constant or slightly energy-dependent parameters.Comment: 4 Pages, 5 Figures, submitted to the Phys. Lett.
Investigation of the Coupling Potential by means of S-matrix Inversion
We investigate the inelastic coupling interaction by studying its effect on
the elastic scattering potential as determined by inverting the elastic
scattering -matrix. We first address the effect upon the real and imaginary
elastic potentials of including excited states of the target nucleus. We then
investigate the effect of a recently introduced novel coupling potential which
has been remarkably successful in reproducing the experimental data for the
C+C, C+Mg and O+Si reactions over a
wide range of energies. This coupling potential has the effect of deepening the
real elastic potential in the surface region, thereby explaining a common
feature of many phenomenological potentials. It is suggested that one can
relate this deepening to the super-deformed state of the compound nucleus,
Mg.Comment: 12 pages with 3 figure
New Results in the Analysis of the O+Si Elastic Scattering by Modifying the Optical Potential
The elastic scattering of the O+Si system has been analyzed
with a modified potential within the framework of the optical model over a wide
energy range in the laboratory system from 29.0 to 142.5 MeV. This system has
been extensively studied over the years and a number of serious problems has
remained unsolved: The explanation of the anomalous large angle scattering
data; the out-of-phase problem between theoretical predictions and experimental
data; the reproduction of the oscillatory structure near the Coulomb barrier;
the consistent description of angular distributions together with the
excitation functions data are just some of these problems. We propose the use
of a modified potential method to explain these problems over this wide energy
range. This new method consistently improves the agreement with the
experimental data and achieves a major improvement on all the previous Optical
model calculations for this system.Comment: 19 pages with 8 figure
Analytical Solutions to the Hulthen and the Morse Potentials by using the Asymptotic Iteration Method
We present the exact analytical solution of the radial Schr\"{o}dinger
equation for the deformed Hulth\'{e}n and the Morse potentials within the
framework of the Asymptotic Iteration Method. The bound state energy
eigenvalues and corresponding wave functions are obtained explicitly. Our
results are in excellent agreement with the findings of the other methods.Comment: 13 pages and 2 table
A Systematic Investigation of Light Heavy-Ion Reactions
We introduce a novel coupling potential for the scattering of deformed light
heavy-ion reactions. This new approach is based on replacing the usual
first-derivative coupling potential by a new, second derivative coupling
potential in the coupled-channels formalism. The new approach has been
successfully applied to the study of the C+C, C+Mg,
O+Si and O+Mg systems and made major improvements
over all the previous coupled-channels calculations for these systems. This
paper also shows the limitations of the standard coupled-channels theory and
presents a global solution to the problems faced in the previous theoretical
accounts of these reactions.Comment: 7 pages with 4 figure
Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials
We present an alternative and simple method for the exact solution of the
Klein-Gordon equation in the presence of the non-central equal scalar and
vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state
energy eigenvalues and corresponding eigenfunctions are obtained for a particle
bound in a potential of type.Comment: 12 pages, accepted for publication in Journal of Mathematical Physic
- …