Analysis of fusion excitation function data of heavy ions through an energy dependent potential

Systematic failure of static nucleus–nucleus potential to explore sub-barrier fusion dynamics

“…This kind of physical effect is a Table 3. Range, depth and diffuseness of the Woods-Saxon potential used in the EDWSP model calculations for various heavy ion systems [29][30][31][32][33][34][35][36][37][38][39][40]. direct manifestation of the enhancement of the fusion crosssection at energies below the energy of the uncoupled barrier.…”

Role of Inelastic Surface Excitations and the Energy-dependent Woods--Saxon Potential in Sub-barrier Fusion of $_{\ \ \,16}^{32,36}$S$+^{90}_{40}$Zr Reactions

“…1. The fusion excitation functions of 32,36 16 S+ 90 40 Zr systems obtained by using the static Woods-Saxon potential model and energy-dependent Woods-Saxon potential model (EDWSP model) [18][19][20][21][22][23][24][25][26][27][28][29]. The results are compared with available experimental data (*) taken from Ref.…”

“…This abnormally large diffuseness might be an artifact of various kinds of static and dynamical physical effects such as fluctuation of densities and surface energy of colliding pairs. In this regard, the energy dependence in the Woods-Saxon potential is introduced via its diffuseness parameter and hence given by the following expression [18][19][20][21][22][23][24][25][26][27][28][29] a(E) = 0.85…”

“…Keeping this idea, the recent work undertook several efforts by analyzing the large set of the experimental data within the framework of energydependent Woods-Saxon potential model (EDWSP model) [18][19][20][21][22][23][24][25][26][27][28][29]. The closely similar physical effects that arise due to the internal structure of colliding pairs can be induced by entertaining the energy dependence in real part of nucleus-nucleus potential in such a way that it becomes more attractive at sub-barrier energies.…”

“…This energy-dependent nucleus-nucleus potential will effectively decrease the interaction barrier between fusing nuclei and hence predicts substantially larger sub-barrier fusion cross sections with reference to the energy-independent one-dimensional barrier penetration model as evident from the earlier work (EDWSP model). The introduction of the energy dependence in real part of nucleus-nucleus potential is also evident from the nucleon-nucleon interactions as well as from the non-local quantum effects [18][19][20][21][22][23][24][25][26][27][28][29]. The fusion dynamics of 32,36 16 S+ 90 40 Zr systems which are well studied in literature has been analyzed in the present work [30,31].…”