arXiv subjects
Publications and source records attributed to Mohamed E. Kelabi.
The kinematic moment of inertia of the rare earth even-even nuclei was calculated using three parametric energy based expression. The plot of kinematic moment of inertia versus nuclear spin shows a better sensitivity to back bending than energy plot.
We propose parameterization procedures of the scattering amplitude f_{1+}^{3}(s)) with a view to extracting the pole parameters from data in the elastic region of πN scattering. This is achieved by considering the analyticity properties of partial wave amplitudes directly and writing dispersion relations for the amplitude explicitly.
We evaluated the time delay plot in the established region of the Delta(1232) resonance through the use of elastic scattering phase shift analysis of the partial wave amplitude P33. The pole position and width of the Delta(1232) resonance were obtained and found in agreement with earlier calculations.
From the parameterization of the pion-nucleon phase shift of the partial wave P33, the pole position and width of the Delta(1232) resonance is determined by using speed plot technique. We found the pole position and the half width of the Delta(1232) resonance at the total center of mass energy W = (1211.47 - i 49.94) MeV. The results of our calculations are in agreement with the early determinations.
From Bohr-Mottelson model, a three parametric simple expression for the ground state rotational band of deformed even-even nuclei is deduced by incorporating the variable moment of inertia and the softness parameter. Our obtained results show good agreement with data in comparison with other existing models.
We have obtained the transition matrix elements for pion photoproduction by considering the number of gamma matrices involved. The approach based on the most general conditions of gauge invariance, current conservation and transversality. The approach is fairly consistent with literatures.
The phase shift of pion nucleon elastic scattering D33, corresponding to isospin I=3/2 and angular momentum J=3/2, has been parameterized over the range 1100 < W < 1375 MeV, using the single channel p Pi+ data from CNS-DAC. By employing our four parameters formula, the pole positions of corresponding to the Delta(1232) resonance are then identified.
From the partial wave analysis, the phase shift D33 of pion nucleon scattering containing the D(1232) resonance, corresponding to isospin I=3/2 and angular momentum J=3/2, has been parameterized over the energy range 1100 < W < 1375 MeV, using p-Pi+ data. The result of our parameterization shows good agreement in comparison with the available experimental data.
An extension of the previously proposed Variable Moment of Inertia with Softness model VMIS has been applied to describe successfully the effect of backbending in some deformed e-e nuclei. The model shows good results in the rare earth and actinide regions.
From the semi-empirical formalisms of Bohr-Mottelson, a new model, based on the effect of beta- and gamma- head energies and the variable moment of inertia, was developed to calculate the ground state rotational band of almost all deformed e-e nuclei. The model can be tuned for nuclei with experimentally available beta- and gamma-vibrational energies as well as for those with unmeasured beta- and gamma-vibrations.
In the frame work of the hydrodynamical model, a new model of the ground state rotational bands of deformed e-e nuclei is developed by introducing the variable moment of inertia, and the effect of beta- and gamma- vibrational bands. The model is applied to calculate the energies of the ground state band of 158Dy. The results of our calculations are in close agreement with data compared with other existing models.