Toward a global description of the nucleus-nucleus interaction

Abstract

Extensive systematizations of theoretical and experimental nuclear densities and of optical potential strengths extracted from heavy-ion elastic scattering data analyses at low and intermediate energies are presented. The energy dependence of the nuclear potential is accounted for within a model based on the nonlocal nature of the interaction. The systematics indicates that the heavy-ion nuclear potential can be described in a simple global way through a double-folding shape, which basically depends only on the density of nucleons of the partners in the collision. The possibility of extracting information about the nucleon-nucleon interaction from the heavy-ion potential is investigated.

Non-local effects on the heavy-ion fusion at sub-barrier energies

“…Thus we assume a local energy-independent imaginary potential of the total optical potential and a corresponding local electromagnetic interaction. We can write [9,10] …”

“…In Refs. [8][9][10], the Jackson-Johnson idea was extended to heavier systems and the resulting potential, which is a modification of the doublefolding one, was shown to be quite accurate in accounting for a large body of elastic scattering data for a wide range of systems, including 16 O + 208 Pb. The PB non-locality was originally derived for neutron-nucleus scattering.…”

“…For neutron-nucleus systems, Perey and Buck have associated the nonlocal interaction with a Woods-Saxon shape potential. For nucleus-nucleus, we have associated [9,10] the energy-independent nonlocal real potential V NL [(R + R )/2)], that appears in the PB and FL form, with the double folding potential,…”

“…Of course, when used in coupled-channel calculations, the non-locality is transformed into a non-dispersive energy dependence. In so far as the Pauli non-locality is concerned, the resulting locally equivalent nondispersive energy dependent potential has been constructed by our group [8][9][10][11] and it is coined the São Paulo potential. We shall use this potential here to investigate the relevance of the Pauli, exchange, non-locality on the fusion cross section at energies around the barrier.…”

Above-barrier fusion enhancement of proton-halo systems

“…[5]). The energy integration of these spectra Wong's formula [13] using the barrier parameters of the bare potential, which was taken to be the São Paulo potential (SPP) [14] gives a reliable BPM result in the energy region of interest.…”