Investigating the effect of entrance channel mass asymmetry on fusion reactions using the Skyrme energy density formalis
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Investigating the effect of entrance channel mass asymmetry on fusion reactions using the Skyrme energy density formalism M. M. Hosamani1 • A. Vinayak1 • N. M. Badiger1
Received: 18 March 2020 / Revised: 22 July 2020 / Accepted: 27 July 2020 China Science Publishing & Media Ltd. (Science Press), Shanghai Institute of Applied Physics, the Chinese Academy of Sciences, Chinese Nuclear Society and Springer Nature Singapore Pte Ltd. 2020
Abstract In the present investigations, the fusion crosssections for the formation of 200Pb compound nucleus (CN) using 16O ? 184 W, 30Si ? 170Er, and 40Ar ? 160Gd nuclear reactions at energies above the Coulomb barrier were calculated to understand the effect of entrance channel mass asymmetry (a) on the fusion reactions; the Skyrme energy density formalism (SEDF) was used for this calculation. The SEDF uses the Hartree–Fock–Bogolyubov (HFB) computational program with Skyrme forces such as SkM*, SLy4, and SLy5 to obtain the nucleus-nucleus potential parameters for the above reactions. Using the SEDF model with SkM*, SLy4, and SLy5 interaction forces, the theoretical fusion cross-sections were determined above the barrier energy and compared with the available experimental fusion cross-sections. The results show a close agreement between the theoretical and experimental values for all selected systems at energies well above the barrier. However, near the barrier energies, the theoretical values were observed to be higher than the experimental values. Keywords Skyrme force Energy density formalism Hartree–Fock–Bogolyubov Thomas–Fermi model Coupled-channel calculation
& N. M. Badiger [email protected] 1
Department of Studies in Physics, Karnatak University, Dharwad 580003, India
1 Introduction The inter-nuclear potential is one of the most important factors to describe the heavy-ion nuclear reaction dynamics [1]. It is well known that the study of heavy-ion fusion reactions, in which the interacting nuclei effectively interact with each other, will probe the pre-saddle region as well as the field inside the Coulomb barrier extensively [2]. Further, the study of heavy-ion nuclear reactions can provide major information about the barrier between the interacting nuclei, which hinders the synthesis of superheavy elements. Conversely, by studying the shape and size of the barrier distribution, the dynamics of the interacting nuclei can be investigated [3]. For a given system, the height and width of the barrier—in accordance with the semi-classical theory—remain same, and it is interesting to evaluate the effect of incident energy on such a barrier. Furthermore, theoretically, the reaction barrier is not very well defined and to some extent, it depends on the way it is calculated [4, 5]. For classical simplification, we are assuming that the interaction barrier is estimated from the interaction energy of the interacting nuclei, as a function of the relative distance (R) between them. However, the dynamical calculations of nuclear rea
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