Effective Nucleus-Nucleus Potential for Calculation of Potential Energy of a Dinuclear System

Abstract

An effective method to calculate the potential energy of a dinuclear system is suggested. The nuclear part of the nucleus-nucleus potential is taken in the double folding form. The analytical expressions obtained allow one to simplify the calculations of interaction between two nuclei except the nuclei near the drip lines. The relationship between the double folding potential and the proximity potential is found. The influence of a deformation and a relative orientation of nuclei on the interaction potential is investigated. The method is applied to the calculations of the energies of the dinuclear and trinuclear systems.

Theoretical study of the synthesis of superheavy nuclei withZ=119and 120 in heavy-ion reactions with trans-uranium targets

“…The nuclear interaction is calculated with a double-folding method [38] and the Coulomb interaction from the Wong formula [39]. In this work we assume a tip-tip orientation of the two deformed nuclei and that the dynamical deformations of the two nuclei satisfy [26] with the stiffness parameter C i (i = 1 and 2) calculated from a liquid drop model [40].…”

Extreme quadrupole deformation and clusterization

“…Since the values of U are given with respect to B, U(|η Z | = 1) = 0. The double-folding method of the calculation of V as well as the parameters used are presented in [28,31]. The mutual orientation of nuclei in the dinuclear system corresponds approximately to the result of the microscopic consideration.…”

Physical origin of the transition from symmetric to asymmetric fission fragment charge distribution

“…The interaction potential V int = V C + V N consists of the Coulomb interaction potential V C of the two uniformly charged ellipsoids and nuclear interaction potential V N in the double-folding form [4]. The interaction potential has a potential pocket with external barrier located at the distances between the tips of the fragments of about (0.5-1) fm and (1.…”