Abstract
We have measured the angular distributions for 12C ion beam elastically scattered from 12C target of thickness 17.4 μg/cm2 at energies 15, 18 and 21 MeV which is close to the Coulomb barrier energy for 12C + 12C nuclear system. The elastic scattering of 12C beam on 12C was analysed also at different energies (139.5, 158.8, 180, 240, 288.6, 300, 360 and 420 MeV) from literature in order to obtain the global optical potential parameters, which could fairly reproduce the experimental data. The experimental results were analysed within the framework of both the optical model and the double folding potential obtained with different density-dependent NN interactions which give the corresponding values of the nuclear incompressibility K in the Hartree-Fock calculation of nuclear matter. The agreement between the experimental results and the theoretical predictions in the whole angular range is fairly good.
Highlights
There have been rather extensive differential cross section studies for 12C + 12C nuclear system at different energies [1,2,3,4,5,6,7] which have been attempted to be explained theoretically by using both phenomenological and microscopic potentials [6,7,8,9,10,11,12]
The experimental results were analysed within the framework of both the optical model and the double folding potential obtained with different density-dependent NN interactions which give the corresponding values of the nuclear incompressibility K in the Hartree-Fock calculation of nuclear matter
In comparison with the various studies concerned 12C + 12C elastic scattering at high and intermediate energies, we found that, the experimental data at intermediate and high energies displaying the typical Fraunhofer oscillations at forward angles and the symmetrization interference near 90 ̊, with gross structures in between which one could surmise are due to Airy maxima and minima
Summary
There have been rather extensive differential cross section studies for 12C + 12C nuclear system at different energies [1,2,3,4,5,6,7] which have been attempted to be explained theoretically by using both phenomenological and microscopic potentials [6,7,8,9,10,11,12]. We performed the experimental measurements for 12C ion beam elastically scattered from 12C target at low energies close to the Coulomb barrier energy for this nuclear system, and the theoretical calculations were performed using both optical model (OM) and double folding potential (DF). In comparison with the various studies concerned 12C + 12C elastic scattering at high and intermediate energies, we found that, the experimental data at intermediate and high energies displaying the typical Fraunhofer oscillations at forward angles and the symmetrization interference near 90 ̊, with gross structures in between which one could surmise are due to Airy maxima and minima. Our experimental data at low energies close to the Coulomb barrier energy are displaying the typical Fresnel scattering pattern and the symmetrization interference near 90 ̊ is clearly observed as the experimental measurements were extended up to angle ~150 ̊
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