Analysis of elastic scattering of ⁶Li by ⁹⁰Zr near Coulomb barrier

Abstract

We use a phenomenological optical potential constructed in consideration of a versatile potential developed by Joseph N. Ginocchio. The optical potential uses less number of energy-dependent parameters to analyse nuclear scattering data. We study the ratios of elastic to Rutherford differential scattering cross sections of the system 6Li+90Zr at various energies, namely, 10.19, 11.11, 12.07, 13.95, 15.84, 17.71, 19.60, 23.36, 28.05 and 31.87 MeV in the centre-of-mass system. A study of angular distributions is performed in a wide angular range. Our theoretical calculations explain the experimental results and follow breakup threshold anomaly phenomenon near the Coulomb barrier. We discuss the variation of reflection function |Sl| with ‘l’ for each contributing partial wave and calculate reaction cross section for the system against the projectile energy 31.87 MeV with permissible error.

Weak and Strong Magnetic Fields Effect on the Non-extensive Thermodynamics

“…The phenomenological optical potential used here is based on a shortranged, smooth, and analytically solvable asymmetric potential developed by Ginocchio [23] and used by others [21,22,[33][34][35] which possesses the versatility to control the volume and surface regions. A potential to describe nucleus-nucleus interaction usually consists of Coulomb potential V C (r) due to electric charges of two nuclei and nuclear potential V N (r).…”

“…The regions are smoothly joined near r = R 0 forming a neck-like structure. We refer the location to an analytic junction [34,35], where the two regions of the potential meet each other. As the name suggests, the junction is analytically solvable and the Schrödinger equation can be solved there.…”