Phenomenological and semi-microscopic analysis for¹⁶O and¹²C elastically scattering on the nucleus of¹⁶O and¹²C at Energies near the Coulomb barrier

Optical Model Analysis of Elastic Scattering of <sup>16</sup>O + <sup>12</sup>C

“…However, lately, ever-increasing understanding of the interaction between heavy ions arising from studies of elastic scattering has shown certain combinations of heavy ions, for which absorption is relatively weak, to exhibit refractive scattering at incident energies of a few MeV per nucleon [7,9,10,11]. One key advantage of refractive scattering is that it makes the determination of HI optical potential up to small internuclear distances possible, giving room for the possibility of testing different theoretical models for HI optical potentials by analyzing these systems (heavy ions) [12,13]. This refractive scattering has been a subject matter of increased attention in the last two decades; and it has been established that only deep potentials, such as those generated by double folding model, are needed to describe the systematics of heavy-ion scattering.…”

“…So far, experimental evidence of refractive scattering has been found mainly in 12 C + 12 C, 16 O + 16 O and 16 O + 12 C systems [9,14]. Their elastic scattering angular distributions reveal unmistakable refractive features, such as rainbow scattering patterns and broad interference minima called "Airy minima" [10].…”

“…It is now known that these refractive features can be described consistently by optical potentials with deep (several hundreds MeV) real parts. Therefore, the clear observation of rainbow scattering features in 12 C + 12 C, 16 O + 16 O and 16 O + 12 C elastic scattering data has definitely and particularly established that the real part of the light heavyion optical potential is strongly attractive and deep; and the imaginary part of the potential is weak enough to minimize absorption. Undoubtedly, a combination of these two features-deep real optical potential and incomplete absorption-makes possible the observation in the elastic angular distribution of distinctive refractive effects such as Airy minima superimposed on more classical diffractive features [7,9].…”

Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering

“…The refractive effects observed in certain HI interactions, where the scattering is sensitive to the central (nuclear) potential inside the strong absorption radii, have been used as a practical tool for understanding the nature of the OM potential. In particular, these effects have been discussed for 16 [6,7,10,15,18,[28][29][30][31][32] systems in the literature. Eventually, the reported complex nuclear potentials of those scattering reactions have been described as the composition of deep and attractive potentials for the real part plus weaker and absorbing potentials for the imaginary part.…”

“…[5]. OM formalism, however, is broadly used for explaining the elastic scattering mechanism of light heavy-ions [1,[6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Determination of the most suitable model potential shape has primary importance to be able to apply this model successfully for analyzing a specific heavy ion (HI) scattering data in terms of empirical parameters used in the nuclear potential.…”