Systematic study of the Woods-Saxon potential parametersbetween heavy-ions *

Abstract

Experimental elastic scattering angular distributions of 11B, 12C, and 16O + heavy-ions are used to study the Woods-Saxon potential parameters. Best fitted values of the diffuseness parameters are found for each system, and a linear relationship is expressed between the diffuseness parameters and . The correlation of the potential depth and radius parameters with is also revealed within the limitations of the diffuseness parameter formula. Because the incident energies of most of the analyzed reactions are below or around the Coulomb barrier, the energy dispersion relation between the real and imaginary potentials is considered in order to investigate the ratio between the imaginary and real potential well depths, resulting in an expression of . Within the limitation of the volume integrals calculated with the S o Paulo potential, parameterized formulas for the depth and radius parameters are obtained. The systematic Woods-Saxon potential parameters derived in the present work can reproduce not only the experimental data of elastic scattering angular distributions induced by 11B, 12C, and 16O but also some elastic scattering induced by other heavy-ions.

Scattering and fusion reaction dynamics of O + Zr system around Coulomb barrier

“…The solid dots represent experimental data taken from Refs. [27,28]. The theoretical calculations show a re- markable agreement with the experimental data.…”

Coulomb excitation of Ru102 with C12 and Garrett1, Zielińska2, Bergmaier3 et al. 2022Phys. Rev. C

“…Compared with the values from computed expressions given in Ref. [47], a R was increased by 0.05 fm, and W increased by 30 MeV. 12 C beams at 53 MeV (top panel) and 45 MeV (bottom).…”

“…To explore further the possible role of nuclear effects contributing to the population of 2 + states in the scattering of 12 C from 102 Ru, calculations with the FRESCO code [45] were performed. Several available optical-model parameter (OMP) sets [46][47][48] for 12 C were evaluated by comparing calculated cross sections with elastic-and inelastic-scattering data for the 12 C + 100 Mo reaction at 48 MeV [46]. Of the parameter sets tested, those of Gan et al [47], that result from a global fit of 12 C reaction data, were judged to give the best reproduction of the Mo data [46].…”

“…Several available optical-model parameter (OMP) sets [46][47][48] for 12 C were evaluated by comparing calculated cross sections with elastic-and inelastic-scattering data for the 12 C + 100 Mo reaction at 48 MeV [46]. Of the parameter sets tested, those of Gan et al [47], that result from a global fit of 12 C reaction data, were judged to give the best reproduction of the Mo data [46]. While the aim of the calculations was to test the magnitude of the nuclear effects in our Coulombexcitation reaction rather than perform detailed fits, small adjustments were made in the OMPs nonetheless in order to improve the quality of the fit to the Mo target data-namely, the real well diffuseness was increased by 0.05 fm, and the depth of the imaginary well increased by 30 MeV.…”

“…The potential used a volume Woods-Saxon form with real and imaginary components with depths V and W , a common radius r, and diffuseness parameters a R and a W as described in Ref. [47]. Compared with the values from computed expressions given in Ref.…”