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Background: The nuclear interaction potential and hence the fusion barrierformed between the interacting nuclei are the keys to understanding the complexfusion process dynamics.  Purpose: This work intends to explore the fusion barrier characteristics ofdifferent target-projectile combinations within the relativistic mean-field(RMF) formalism.  Methods: The density distributions of interacting nuclei and the microscopicR3Y NN interaction are obtained from relativistic mean-field (RMF) formalismfor non-linear NL1, NL3, TM1, and relativistic-Hartree-Bogoliubov (RHB)approach for DDME2 parameter sets. The fusion and/or capture cross-section forthe different reaction systems is calculated using the well-known $\ell$-summedWong model.  Results: The barrier height and position of 24 heavy-ion reaction systems areobtained for different nuclear density distributions and effective NNinteraction potentials. The comparison of fusion and/or capture cross-sectionobtained from the $\ell$-summed Wong model is made with the availableexperimental data.  Conclusions: The phenomenological M3Y NN potential is observed to give higherbarrier heights than the relativistic R3Y NN potential for all the reactionsystems. The comparison of results obtained from different relativisticparameter sets shows that the densities from NL1 and TM1 parameter sets givethe lowest and highest barrier heights for all the systems under study. Weobserved higher barrier heights and lower cross-sections for DDR3Y NN potentialas compared to density-independent R3Y NN potentials obtained for considerednon-linear NL1, NL3 and TM1 parameter sets. According to the present analysis,it is concluded that the NL1 and NL3 parameter sets provide comparativelybetter overlap with the experimental fusion and/or capture cross-section thanthe TM1 and DDME2 parameter sets.

Systematic study of fusion barrier characteristics within the relativistic mean-field formalism