Nucleon-alpha potentials

A Nonlocal Potential Form for s-wave α - α Scattering

“…First we have used the results of Lassaut and Vinh-Mau (1977) that were based upon a model form for NN interactions specified by Brink and Boeker (1967). The associated N -α interactions have the form…”

“…For completeness, the potential strengths U , ranges (λ, β) and nucleon bound state harmonic oscillator length b 0 used by Lassaut and Vinh-Mau (1977) are listed in Table 1 for their B1 and C1 parameter sets. The N -α cross sections that are obtained with this folded interaction agree reasonably with the data at low energies.…”

“…Analyses of low energy α-α scattering in the past have been based upon local equivalent potentials found from folding model calculations such as those of the resonating group method (RGM) (Tanabe et al . 1975) or upon phenomenologically chosen interactions between the two α-particles, such as the local Gaussian function form of Buck et al . (1977) or of Woods-Saxon (WS) type as used by Marquez (1983).…”

“…1975) or upon phenomenologically chosen interactions between the two α-particles, such as the local Gaussian function form of Buck et al . (1977) or of Woods-Saxon (WS) type as used by Marquez (1983). The phenomenological (real local) interactions are very similar in shape (Friedrich 1984) and they are angular momentum and energy independent.…”

“…But in most calculations of nucleus-nucleus scattering, local equivalent forms of the folded interactions are required. Nonlocality has been considered in few cases, and usually as a Frahn-Lemmer form (Perey and Buck 1962). In a first order expansion, the Frahn-Lemmer nonlocal interaction has a simple but energy dependent local equivalent form (Apagyi et al .…”