Medium-dependent relativistic NN potential: Application to fusion dynamics

Document Type

Article

Publication Date

10-1-2022

Abstract

In-medium effects are introduced in the microscopic description of the effective nucleon-nucleon (NN) interaction potential entitled DDR3Y in terms of the density-dependent nucleon-meson couplings within the relativistic-Hartree-Bogoliubov (RHB) approach. The nuclear densities of the interacting target and projectile nuclei and NN potentials are obtained for nonlinear NL3* and TM1 parameter sets within the relativistic mean-field approach and density-dependent DDME1 and DDME2 parameter sets within the RHB formalism. The DDR3Y NN potential and the densities are used to obtain the nuclear potential by adopting the double -folding approach. This nuclear potential is further used to probe the fusion dynamics within the-summed Wong model for a few even-even systems leading to the formation of light, heavy, and superheavy nuclei. The calculations are also performed for the relativistic R3Y, density-dependent and-independent Michigan 3 Yukawa (M3Y) interaction potentials for the comparison. We observed that the DDR3Y NN potential gives a better overlap with the experimental data as compared to nonrelativistic M3Y and DDM3Y NN potentials. From the comparison of R3Y and DDR3Y interactions, it is manifested that the inclusion of in-medium effects in terms of density-dependent nucleon-meson couplings raises the fusion barrier and consequently decreases the fusion and/or capture cross-section. Moreover, the nuclear densities, as well as the relativistic R3Y NN potential obtained for the NL3* parameter set, are observed to give a comparatively better fit to the experimental data.

Keywords

Hartree-bogoliubov theory, Double-folding model

Divisions

Science

Funders

Department of Science & Technology (India) Science Engineering Research Board (SERB), India [CRG/2021/001229],Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [2017/05660-0],Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) [30313/2021-6],INCT-FNA Project [464898/2014-5],FOSTECT Project [FOSTECT.2019B.04]

Publication Title

Physical Review C

Volume

106

Issue

4

Publisher

American Physical Society

Publisher Location

ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA

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