Effect of octupole and higher deformations on Coulomb barrier

Describing the heavy-ion above-barrier fusion using the bare potentials resulting from Migdal and M3Y double-folding approaches

“…First, the dynamical evolution of the collective momentum and its conjugate coordinate corresponding to the radial motion is modeled using the stochastic equations with the Gaussian noise and instant friction (see details in Refs. [33,41,44]):…”

“…Later this potential was used in many works [26][27][28][29][30] for the same goal but with the modified M3Y NN-forces. Comparatively recently this potential started to be applied for the fusion problem [24,25,[31][32][33][34]. In Refs.…”

Systematic study of deformation effects on fusion cross-sections using various proximity potentials

“…In a series of recent papers [9][10][11][12] authors have used a number of potentials in predicting the fusion barrier height and position of a large number of reactions. They came to conclusion that for asymmetric colliding nuclei, the potentials could reproduce the experimental data, on average, within 10% [10] and for symmetric colliding nuclei to within 8% [11], all the interacting nuclei considered here are assummed to be spherical in nature , however, the deformation as well as the orientation of the nuclei also affects the fusion barriers [13,14]. Besides the proximity potential, there are other potentials like single folding, double folding, and Skyreme energy density [15][16][17][18] which are also successfully able to explain the phenomena.…”

Effects of the deformation orders β6 & β8 on the fusion parameters for spherical-deformed interacting pair

“…where We will then go on to present the nuclear potential in DFM, which is given by [4,5,11,14,15,17,19,21,29]; (15) where ρ1(⟶r1) & ρ2(⟶r2) are the density functions of the projectile and the target nuclei respectively, VNN(S) is the NN interaction potential, and ⟶R is the relative position vector of the centers of mass of the interacting pair of nuclei. To simplify calculation of the six dimensional integral (eq.…”

“…To simplify calculation of the six dimensional integral (eq. 15) of the DFM, we will write VNN(S) in terms of its Fourier transform as [4,11,14,15,17,19,21],…”