U + U potential in the sudden and adiabatic approximation

Abstract

Dedicated to Professor Theo Mayer-Kuckuk on the occasion of his 60th birthday A recent approach for calculating both the real and imaginary parts of the ion-ion potential has been modified to produce the ground state properties of separate nuclei. This approach is used to study both the energy and orientation dependence of the optical potential between two U nuclei adopting the sudden and adiabatic approximations.

The Orientation Dependence of the Real Part of the Ion–Ion Potential between Two Nuclei

“…In the adiabatic approximation where the density of the composite system does not increase more than the normal nuclear matter density (ρ 0 ≈ 0.16 fm −3 ), the repulsive core disappears. 16 The difference in the range of the repulsive core for 238 U + 238 U potentials calculated with different Skyrme forces is due to the differences exist in the nuclear matter binding energies per nucleon curve (E/A against ρ curve) predicted by these forces. In spite of the fact that the nuclear matter curves for Skyrme forces pass through the point (E/A ≈ −16 MeV, ρ 0 ≈ 0.16 fm −3 ), they differ largely in their shape especially for ρ > ρ 0 .…”

The effect of nuclear and Coulomb interactions on the nuclear shapes of two colliding208Pb nuclei

“…The general definition of the optical potential between two colliding nuclei is the difference between their energy at finite distance R and at infinity [3][4][5][6][7][8][9], i.e.…”

“…This approach has been first applied to spherical nuclei [3][4][5] and then extended to deformed nuclei [6,7]. Recently some modifications have been made to the energy density by adding to it two terms representing surface correction and symmetry energy densities with their strengths adjusted to reproduce ground state properties [8,9]. In the next section we briefly describe the theory.…”

Skyrme Forces and Their Applications in Low Energy Nuclear Physics

“…The energy density formalism was extended to deformed case in Refs. [93] and [94] to achieve this target. A realistic nucleon-nucleon interaction and an empirical nucleon density were adopted in Ref.…”