Analysis of elasticα-nucleus scattering data at 240 MeV

Abstract

Working within the framework of the Coulomb modified Glauber model we fit the elastic differential scattering cross section of 240 MeV α particle on 58 Ni using the effective N -α amplitude with one adjustable parameter. It is found that once the effective amplitude is calibrated on 58 Ni by varying the adjustable parameter, it very nicely reproduces the available elastic α scattering data on other nuclei at the same energy.

Phenomenological analysis of elastic scattering reactions using different models

“…This explains the enhancing effect of Coulomb damping of Fraunhofer oscillations which is controlled by the product (∆θ R ) of surface diffusivity and the Rutherford grazing angle and therefore increases (almost exponentially) with increasing Coulomb parameter and surface diffusivity ∆. The theoretical results of angular distributions obtained from both models using three parameters are fairly compared to experimental data and to the results obtained by the modified Coulomb Glauber model [18].…”

“…The theoretical results obtained from both models agree remarkably with each other. The theoretical results of CMG model using set B [18] together with those of optical model [17] are also presented. Our results show better agreement to both the experimental data and theoretical results of optical model than those of CMG model.…”

“…Figure 3 shows the calculated angular distribution for 240 MeV alpha particles by 197 Au, using both McIntyre and Frahn-Venter models, together with the corresponding experimental data. The theoretical results of CMG model using set B, [18] together with those of optical model [17] are also presented. Our results compare much better, to both the experimental data and theoretical results of optical model, than those of CMG model.…”

Elastic α-Nucleus Scattering at 36 to 60 Mev/Nucleon

“…The essential point of the proposed method is to calculate the input NN amplitude from the phenomenological NN phase shift function, the parameters of which are varied to fit the elastic α-nucleus scattering data. A similar approach was undertaken by Alvi et al [23] in a different context. That work used an effective N-α amplitude with one adjustable parameter to calculate α-58 Ni, 116 Sn, and 197 Au elastic differential cross sections at a beam energy 240 MeV.…”

“…For computational simplicity, in all our calculations we parameterize the required nuclear form factors as the sum of Gaussians: FðqÞ ¼ P i b i e Àc i q 2 of the realistic nuclear form factor. The values of the parameters b i and c i used in the calculation for 4 He and 12 C and are taken from [14] while those for 58 Ni, 116 Sn, and 197 Au have been taken from Alvi et al [23]. With regard to the values of b i and c i for 27 Al and 24 Mg, these have been determined by fitting the realistic ground state charge densities [32] after correcting for the finite proton charge density.…”