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Other Projects:
*Faculty: Science and Arts /: Physics* Specific Specialization: Polymer Physics
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*Specific Specialization: Polymer Physics
Theoretical Analysis of Elastic and Transfer Nuclear Reactions of Heavy Ions at Intermediate and High Energies
Total Funding: 21000 Funded by:Hashemite University
Acceptance Date: 30/7/1998 Duration of Project : 36 months
Analysis of measured cross-sections of heavy-ion reaction in the form of energy spectra and angular distributions provides a useful probe for understanding structural properties of the nuclei involved as well as the mechanism of their interaction. Extensive studies of heavy-ion elastic, inelastic and transfer reactions have been conducted during the past three decades, as heavy-ion beams of increasingly higher energy became available. The progress of this work had led to continuous improvement in the experimental and theoretical techniques used, and to a better understanding of these inter-related processes. The furthering of this work offers a wide scope for experimental and theoretical work.
A first advancement in understanding the basic features of heavy-ion collisions was achieved in the fifties by Blair. The Blair sharp cutoff model for elastic scattering accounted for both the diffractive effects of strong absorption and the semiclassical nature of the projectile motion in the Coulomb field. The “quarter-point” recipe gave a first glimpse of the interplay between the refractive Coulomb and the diffractive nuclear effects. This treatment was generalized to include single-step inelastic diffraction scattering leading to collective nuclear states. This was the inelastic diffraction model, which was based on the "adiabatic” approximation according to which, excited nuclear states were treated as energy-degenerate. The success of this model in analyzing wide range of inelastic alpha-particle scattering experiment and in showing the intimate relationship between elastic and inelastic processes lead to the development of a more general treatment of heavy-ion inelastic scattering by Austern and Blair. This latter treatment based on the general expression for direct reaction amplitudes given by the distorted wave Born approximation (DWBA) and the collective description of nuclear states and through introducing number of approximations, which are best justified when the projectile is strongly absorbed by the target nucleus, a generalized inelastic diffraction formalism was derived. This theory accounts for single as well as multi-step inelastic processes and reduces to the inelastic diffraction model as a special case. One of the simplifying results of the Austern-Blair theory is the parameterization of the radial integral in view of the smooth dependence of the scattering matrix elements on orbital angular momentum in heavy-ion elastic scattering. This theory brings out the intimate relationship between elastic and inelastic processes to all orders of excitation. This is achieved, in part, by a virtue of dealing directly with the elastic scattering matrix elements rather than with the explicit optical potential.
The established importance of the relation between elastic and quasi-elastic processes, such as inelastic scattering, made the former process the subject of extensive experimental and theoretical investigations. In view of the smooth angular momentum dependence of the S-matrix elements for elastic scattering in the presence of strong absorption, many of these investigations were based on numerical or analytical treatments of partial wave expansion formalism for elastic scattering cross-section.
Part of my concern is related to the analysis of angular distribution of elastic scattering based on the strong absorption model (diffraction model).
Numerical treatment of the DWBA amplitude for the inelastic and transfer heavy-ion reactions were also employed in the analyses of experimental data. In one approach, the magnitudes as well as the phases of the radial integral in the DWBA amplitude were parameterized in angular momentum space of the entrance and exit channels. This was done by fitting the assumed distribution functions to actual DWBA calculations. This method was also applied by Frohlich et al in analyzing alpha-transfer reactions produced by bombarding 40Ca targets with different heavy-ions. The measured cross-sections in this case were in the form of continuous energy spectra corresponding to the population of highly excited continuum residual states.
Mermaz used a numerical treatment of the DWBA amplitude in analyzing several transfer reactions leading to discrete as well as continuum states. His method is simpler, but less rigorous, than the previously described method, in that he directly combines McIntyre type of parameterization of the S-matrix elements with a suitable realistic form of the Austern-Blair expression for the radial integral. The main approximation in this treatment is the assumption that the expression for the radial integral given by the Austern-Blair theory for inelastic scattering can be used for transfer reactions.
In a most recent work, Badran et al14 have improved the approach of Mermaz by considering the nuclear refractive effects as represented by the nuclear phase factor as well as the imaginary term. This gives an obvious justification to the importance of nuclear phase factor in off-setting the effects of Coulomb repulsion and hence pulling the angular distribution towards forward angles. However, an expression for statistical level densities was used to populate high states in this work and other previous works. Strictly speaking, this expression for the level densities is not the appropriate one, since transfer reactions do not populate states in a statistical fashion. According to the multi-step compound formalism, only states in which all single particles remain in bound states may be populated. The resulting density of states has been given by Oblozinski for the case in which only one type of particle (proton or neutron) is transferred, and was successfully used by Mermaz in calculations of ejectile spectra from reactions where the projectile velocity is comparable with the Fermi velocity of the transferred particle. In the future work the Oblozinski form of level density together with other level densities (like William’s form of level density) will be tested and the results will be compared with the most recent calculations.
Some of this work has been conducted on the continuum spectra of the transfer reaction 56Fe(7Li, 4He) 59Co* at 50 & 68 MeV.
Funded Projects by HU:
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2001 |
European Physical Journal A 12, 317-325 |
Complete and incomplete fusion in reactions of 7Li + 56Fe at E (7Li) = 50and 68 MeV from analysis of recoil range light particle measurements; |
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2002 |
The Arabian Journal for Science and Engineering (AJSE), A1, 65-73 |
An analysis of 16O + 64Zn elastic scattering data using the McIntyre parameterization of the scattering Matrix;. |
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2003 |
Heavy Ions Physics 17/1 |
A study of semi-classical processes in the elastic scattering of 32S by 64Ni and 58Ni by 27Al. |
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2004 |
Heavy Ions Physics |
Further Study and Analysis of the 7Li on 56Fe Reaction at 50 MeV Incident Energy. |
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2003 |
Proceedings of International Conference of Mathematics and Nuclear physics and their Applications (ICMNP) in the Twenty First Century. |
Further investigations on the reaction of 7Li + 56Fe at E (7Li) = 50 MeV". |
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2003 |
Thin Solid Films 527 133 -36.
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Analysis and modeling of generation- recombination noise in amorphous semiconductors |
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2002 |
M R S Vol. 715, A2.2.1 |
Monte-Carlo simulation of generation- recombination noise in amorphous semiconductors |
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2003 |
Mu'ta Journal for Research and Studies, 18
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Further analysis on the Jahn-Teller V3+ center in the hosts GaAs, and In P under the effect of spin-orbit coupling and uniaxial stress |
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2001 |
MRS Vol. 669, A23.7 |
Generation- recombination noise in amorphous semiconductors |
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2000 |
Proceedings of the Eleventh International School on Condensed Matter Physics (ISCMP), Varna, Bulgaria Sept. 3-8 . |
New developments in the determination of the density of states from transient photocurrents in disordered semiconductors |
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2000 |
MRS Vol. 609. |
Improved high-resolution post-transit spectroscopy for determining the density of states in amorphous semiconductors |
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2000 |
J. Appl. Phys., 88, 1190-1192.
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High resolution density of states spectroscopy in semiconductors by exact post-transit current analysis |
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1997 |
Mu’ta Journal for Research and Studies Vol. 12, No. 3. |
A theoretical study for the excited 3T2 vibronic state of the V3+ ion in GaP: V: S under uniaxial stresses |
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1996 |
J. Phys. G: Nucl. Part. Phys. 22, 1-14.
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Strong absorption formalism applied to the direct transfer reaction 56Fe(7Li,4He) 59Co leading to continuum states |
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1993 |
J. Phys.: Condens. Matter 5, 1505-1816. |
First and second-order reduction factors for E Ä e Jahn-Teller system |
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1991 |
J. Phys.: Condens. Matter 3, 6329-6343.
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An analysis of the strongly coupled E Ä e Jahn-Teller system: Anisotropy and Inversion Splitting. |
*Faculty: Science and Arts / Physics
*Specific Specialization:
Global Radiation Attenuation by Dust and Polluted Air in Zarqa city/Jordan
Mhammad Barakat
Nada Jallo
Total Funding: 1000 Funded by:Hashemite University
Acceptance Date: 18/2/2004 Duration of Project : 4 months
Solar radiation attenuation in zarqa City (Latitude 32.2N and Longitude 36.35E) is estimated by comparing the calculated extratrrestrial irradiance relative to the measured global irradiance using GS1 Solarimeter. Of all the atmospheric components, aerosols are an important attenuater of the solar radiation. Link’s turbidity factor TL takes into account the spectrally integrated attenuation that aerosols as well as water vapor produce on solar rays. Therefore the calculation of this factor for Zarqa city is important. The evaluation of TL requires a knowledge of the optical thickness which inturns requires a knowledge of air mass, which represts the proportion of atmosphere that light must pass through before striking the earth relative to its overhead pathlength.
The computer programe for extraterrestrial radiation calculation is completed now. The air mass calculation using several methods is calculated also. We are in a stage of calculating the optical thickness so that we will be able to calculate TL which is the final step of our work.
But execuse me to say That I haven’t receive the computer yet and I am using my personal computer.
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*Faculty: Science and Arts / Physics
*Specific Specialization :Laser Physics.
Total Funding: 21000 Funded by:Hashemite University
Acceptance Date: 30/7/1998 Duration of Project : 36 months
A relation linking the normalized s-wave scattering and the corresponding bound-state wave functions at bound state poles is derived. This is done in the case of a non-local, velocity-dependent Kisslinger potential. Using formal scattering theory, we present two analytical proofs of the validity of the theorem. The first tackles the non-local potential directly, while the other transforms the potential to an equivalent local but energy-dependent one. The theorem is tested both analytically and numerically by solving the Schrodinger equation exactly for the scattering and bound state wave functions when the Kisslinger potential has the form of a square well. A first order approximation to the deviation from the theorem away from bound state poles is derived analytically. Furthermore, a proof of the analyticity of the Jost solutions in the presence of a non-local potential term is given.
Funded Projects by HU:
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2001 |
European Physical Journal A 11, 175 – 183. |
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