Abstract
The α + 14 C elastic scattering and the nuclear structure of its compound systems, 18 O = α + 14 C, are analyzed on the basis of the semi-microscopic model. The α + 14 C interaction potential is constructed from the double folding (DF) model with the effective nucleon-nucleon interaction of the density-dependent Michigan 3-range Yukawa. The DF potential is applied to the α +14 C elastic scattering in the energy range of Eα /Aα = 5.5 ~ 8.8 MeV, and the observed differential cross sections are reasonably reproduced. The energy spectra of 18 O are calculated by employing the orthogonality condition model (OCM) plus the absorbing boundary condition (ABC). The OCM + ABC calculation predicts the formation of the 0+ resonance around E = 3MeV with respect to the α threshold, which seems to correspond to the 04+ resonance identified in the recent experiment. We also apply the OCM + ABC calculation to the mirror system, such as 18 Ne = α +14 O, and the Coulomb shift of 18 O - 18 Ne is evaluated. We have found that the Coulomb shift is clearly reduced in the excited 0+ state due to the development of the α cluster structure. This result strongly supports that the Coulomb shift is a candidate of new probe to identify the clustering phenomena.
Highlights
1 Introduction α particle is a building block in constructing the intrinsic structures of atomic nuclei because of its stable and inert structure
The reasonable reproductions of the observed cross section suggests that the employed double folding (DF) potential with the target density approximation (TDA) treatment is reliable interaction to describe the elastic scattering
The α + 14C interaction potential is constructed from the double folding (DF) model, which employs the effective nucleon-nucleon interaction of the density-dependent Michigan 3-range Yukawa (DDM3Y)
Summary
There are two steps in the calculations; first, we solve the scattering problem of the α + 14C system by employing the double folding (DF) potential, and the validity of the DF potential is checked. We calculate the differential cross sections of an α particle scattered by 14C in the formulation of the microscopic nuclear interaction. The nuclear potential of α and 14C is calculated from the double folding (DF) model [13], which is symbolically written as a function of the α − 14C relative coordinate R, UDF(R) =. Ρα(rα) denotes the density of α particle, which reproduce the charge form factor of the electron scattering, while ρ14(r14) represents the density of 14C, which is calculated by the Harmonic Oscillator (HO) model. In the previous application of DDM3Y, the so-called frozen density approximation (FDA), ρ = ρα + ρ14C, is employed [16] This approximation is known to give a little shallow potential in the case of the α scattering [17]. The six parameters in SaxonWoods (depth, radius, diffuseness in each form factor) and Nr are tuned so as to reproduce the experimental cross sections as much as possible
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