Validation of an optical potential for incident and emitted low-energy $$\alpha $$-particles in the $$A\sim 60$$ mass range

A consistent set of statistical-model input parameters, validated by analysis of various independent data, makes possible the assessment of an $$\alpha $$ α -particle optical model potential [Phys. Rev. C 90, 044612 (2014)] also for nucleon-induced $$\alpha $$ α -emission within the $$A \sim 60$$ A ∼ 60 mass-number range. The advantage of recent data for low-lying states feeding is taken as well. Consideration of additional reaction channels leading to increase of the $$\alpha $$ α -emission beyond the statistical predictions has concerned the pickup direct interaction and Giant Quadrupole Resonance similar features.

Elastic scattering of nucleon by the lightest mirror nuclei 3H and 3He using the optical model potential

The angular distribution of the nucleon elastic scattering on the lightest mirror nuclei 3H and 3He at incident energies of 6 and 9[Formula: see text]MeV has been analyzed. A new set of phenomenological optical potential parameters has been obtained. A comparison of differential cross-sections has been performed for both elastic scatterings of neutron and proton on the mirror nuclei. The contribution of individual volume, surface, and spin-orbit terms in the optical model potential for the projectiles at different energies was studied. The predicted elastic angular distributions results compared well with the experimental data.

A comprehensive description of elastic scattering angular distributions for eight different density distribution of 32S nucleus

The elastic scattering angular distributions of 32S projectile by 12C, 27Al, 40Ca, 48Ca, 48Ti, 58Ni, 63Cu, 64Ni, 76Ge, 96Mo and 100Mo targets over the energy range 83.3 - 180 MeV are analyzed in the framework of the double folding model based on the optical model. The real part of the optical model potential is obtained by using double folding model for eight different density distributions of 32S which consist of Ngo, SP, 2pF, G1, G2, S, 3pF, and HFB. The imaginary part of the optical model potential is accepted as the Woods-Saxon (WS) potential. The theoretical results successfully reproduce the experimental data over both a wide energy and a wide target nucleus. Finally, simple and useful formulas which predict imaginary potential depths of each density are derived based on the elastic scattering results.

Microscopic Calculation of the Optical Model Potential from One Boson Exchange Poten­tials

A new method for calculating the optical model potential from One Boson Exchange Potentials (OBEPs) is developed. The G-matrix is calculated by solving the Bethe-Goldstone equation in momentum space. Using vector brackets these G-matrix elements can be transformed from the center of mass representation into the laboratory system. This allows the evaluation of the (r-matrix interaction between nucleons in bound states and those in a plane-wave state. The lowest order contribution to the real part of the potential comes from the Hartree-Fock term, while the lowest order contribution to the imaginary part comes from the two-particle-one-hole (2p1h) diagram. Calculations for 16O and 40Ca have been carried out. Local approximations are obtained by describing the results for the central part in terms of a Woods-Saxon potential and those for the spin-orbit part in terms of the corresponding derivatives. The dependence of these potentials on energy and angular momentum is discussed. The parameters for these local approximations are in good agreement with empirical fits.

Coupled-channel analysis of deuteron scattering on 56Fe

The deuteron elastic and inelastic scattering on 56Fe is calculated by using the coupled-channel method and the collective motion models. Based on the experimental angular distributions of scattering processes, an optimal set of parameters are obtained for the deuteron's coupled-channel optical model potential and 56Fe's deformation including first ten low-lying excited states. The calculation results are in good agreement with the experimental data at low incident energies (Ed < 30 MeV), except for 41+(2.085 MeV) and 23+(2.960 MeV), and the deviation is found for several states at 56 MeV. That indicates further analyses and discussions are necessary.