A Systematic Study of Coupling Effects Concerning the Quasi- Elastic Scatter Calculations for ⁴⁸Ti + ²⁰⁸Pb and 16O + 142Ce Systems

Abstract

This study examined the impact of varying the diffused factor and possible profundity (V˳) on the calculations of the proportion of Quasi-elastic scattering to the 'Rutherford' crossing - section (σqel/σR) and the Distribution of obstacles Dqel , utilizing the Wood-Saxon nuclear potential (WS) for the ⁴⁸Ti + ²⁰⁸Pb and ¹⁶O + ¹⁴²Ce systems. Each system employed three distinct values of the diffuseness parameter. Calculations were conducted for Single-channel ''SC'' and Coupled-channel ''CC'' systems to attain optimal concordance between theoretical computations and experimental data for both systems, emphasizing The corresponding speed of colliding nucleus and their inherent properties motion, and assessing their influence on the calculations and surface diffusion. Optimal values were achieved for single-channel (SC) calculations employing an inactive target ''T'' and projectile ''P'', as well as for double-channel calculations utilizing an inactive target ''T'' and an energized projectile ''P''. The chi-square (χ²) test was employed to compare the optimal diffusion coefficient results across different simulations. In this study, we established the diffusion coefficient as a standard value of 0.63 fm and examined values both above and below this standard. We established a radius of 1.2 fm and the ideal possible profundity (V˳) for both systems, noting variances in the diffusion coefficients. The results indicated that both systems demonstrated concordance between theoretical calculations and experimental data.