Systematic study of the effect of individual rotational energy levels on the fusion cross-section of (16) O-based reactions of range 480 <= Z ( P ) Z ( T ) <= 592
Document Type
Article
Publication Date
2-1-2023
Abstract
In heavy-ion fusion reactions, the enhancement in the sub-barrier fusion cross-section has been observed as compared to the 1-Dimensional barrier penetration model due to the coupling of many degrees of freedom to the relative motion. This enhancement can be explained theoretically by including nuclear structure effects like deformation and the coupling of relative motion among two colliding nuclei. The present work aims to investigate the effect of individual rotational energy levels on the fusion cross-sections for O-16-based reaction systems, namely, O-16 + W-182,W-184,W-186, O-16 + Hf-176,Hf-180, O-16 + Yb-174,Yb-176, O-16 + Er-166, O-16 + Sm-148,Sm-152,Sm-154, O-16 + Nd-150 at energies below the fusion barrier. Using the CCFULL code, the effect of low-lying rotational energy levels on the fusion cross-section for O-16 induced reactions has been investigated at energies below and around the Coulomb barrier. The calculations are performed by assuming the fixed value of diffuseness parameter a (0) = 0.65 fm in the Woods-Saxon nuclear potential and the other two parameters are optimised by fitting the experimental data at the above barrier. Here we have determined the V (0) and r (0) as a function of Z ( P ) Z ( T ), where experimental cross-sections are available. From our calculations, it is observed that the hexadecapole deformation (beta (4)) with different magnitudes has a significant influence on the fusion cross sections. For the case of the +ve value of beta (4), beyond 10(+), the rotational levels cease to contribute significantly and also there is a significant difference between the contribution of sequential channels. On the other hand, in the case of -ve beta (4), up to 6(+) levels contribute significantly. Furthermore, we have established an algebraic systematic of fitting, which one can use to determine the parameters V (0), r (0) of Woods-Saxon nuclear potential within the range of Z ( P ) Z ( T ) lie in between 480 <= Z ( P ) Z ( T ) <= 592.
Keywords
Rotational energy level, Nuclear shape and orientation, Couple channel formalism, Nuclear potential, Fusion dynamics
Divisions
PHYSICS
Funders
Fundação de Amparo à Pesquisa do Estado de São Paulo (Grant no. 2017/05660-0},Science and Engineering Research Board (Grant no. CRG/2021/001229)
Publication Title
Physica Scripta
Volume
98
Issue
2
Publisher
IOP Publishing: Hybrid Open Access
Publisher Location
TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND