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In this work, Nuclear Energy Density Functional Theory (NEDFT) has been used to investigate the various structural properties of stable and weakly bound and/or Halo structure nuclei. The different Skyrme interactions like SKM*, SKP Sly4 are utilized to study the structural properties of 4He, 6He and 8He nuclei. Further all the density functionals predict approximately similar behaviors for these nuclei and the calculations based on adopted Skyrme interactions indicate that 6He and 8He nuclei exhibits neutron halo structure.

This paper examined the fusion of 28Si with 90,96Zr-target by opting the energy dependent Woods-Saxon potential (EDWSP) model and code CCFULL. The CCFULL analysis suggested that for 28Si + 90Zr system, the vibrational excitations of 90Zr-isotope have been found to be very important while for 28Si + 96Zr system, in addition to multiphoton vibrational states of target, the considerations of nucleon transfer are essentially needed for the adequate addressal of the observed fusion data. In contrast, predictions based on EDWSP model appropriately recovered the fusion data of 28Si + 90,96Zr systems at sub-barrier realm. The EDWSP based results do not include various channel coupling effects explicitly but being the energy dependent nature of Woods-Saxon potential (WSP), the calculational results intrinsically incorporate the nuclear effects of the fusing systems. This unambiguously clarified that the energy dependent nature of the EDWSP generates analogous barrier modulations as emerged from the CCFULL analysis.

The fusion-fission dynamics of 12C + 232Th reaction at energies in sub-barrier realm are analyzed by using one-dimensional Wong formula and symmetric-asymmetric Gaussian barrier distribution (SAGBD) model. For this, we examined the fusion cross-sections data and related barrier distribution. Calculations based on simple Wong formula fails to explain the fusion data specially at below barrier energies, while SAGBD model predictions qualitatively as well as quantitively reproduced the fusion dynamics of studied reaction. The effects of coupling in SAGBD model are calculated in terms of channel coupling parameter λ, which point towards the reduction of height of the effective fusion barrier and consequently recovered large enhancement in fusion cross-sections in comparison with estimations obtained by using the Wong formula. Furthermore, the percentage reduction of the nominal fusion barrier due to involvement of nuclear structure effects, is described in terms of VCBRED. For the studied system, χ2-analysis shows small value for the SAGBD based results and hence clearly indicates the consistency of the present approach.