Effect of Shapes Degrees of Freedom on the Fusion Cross-Sections of ¹⁶O + ¹⁵⁴Sm and ¹⁸O + ¹⁴⁸Nd

Abstract

The fusion dynamics of 16O + 154Sm and 18O+148Nd reactions has been investigated to observe the effect of shape degree of freedom on the fusion cross-section using the coupled channel (CC) calculations. The one dimentional barrier penetration model (1-D BPM) is observed to underestimate the experimental data mainly at below barrier energies. The coupled channel calculations, including target projectile excitations with 1 phonon of vibrational state and 2+ rotational state of target, reproduce the experimental fusion cross-section for 16O + 154Sm reaction at below barrier energies, while show some discrepancy for 18O+148Nd reaction. This discrepancy for 18O+148Nd reaction can be addressed with the inclusion of low-lying states with neutron transfer channels and the neck-formation.

Effect of low lying vibrational and rotational energy levels on the fusion cross-sections

“…In heavy-ion fusion reactions, a significant enhancement in the fusion cross-section can be observed as compared to the 1D-BPM, mainly at below-barrier energies [1,2]. This fusion enhancement is strongly influenced by the structure of colliding nuclei, neutron transfer channels, and the shape degrees of freedom, specifically the quadrupole (β 2 ) and hexadecapole (β 4 ) deformation of the colliding nuclei [3,4,5]. It is to be noted here that the effect of various degrees of freedom can be included either through the interaction potential within the 1-D BPM or they can be incorporated through the coupled Schrodinger equations for each degree of freedom with bare potentials.…”