Isotopic dependence of the ion-ion potential in the systems 16O+58,60,62,64Ni

Chamon, L. C.; Pereira, Daniervelin Renata Marques; Rossi, E. S.; Silva, C.P.; Dias, H.; Losano, L.; Ceneviva, Carina

doi:10.1016/0375-9474(95)00467-x

Cited by 42 publications

(12 citation statements)

References 23 publications

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“…We now discuss the relation between the logarithmic slope L(E) and the surface property of the nuclear potential. For scattering processes, it seems well accepted that the surface diffuseness parameter a should be around 0.63 fm if V n is parametrised by a Woods-Saxon form [12][13][14]. In marked contrast, recent high-precision fusion data suggest that a much larger diffuseness, between 0.8 and 1.4 fm, is needed to fit the data [9].…”

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confidence: 92%

Fusion cross sections at deep sub-barrier energies

2003

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A recent publication reports that heavy-ion fusion cross sections at extreme subbarrier energies show a continuous change of their logarithmic slope with decreasing energy, resulting in a much steeper excitation function compared with theoretical predictions. We show that the energy dependence of this slope is partly due to the asymmetric shape of the Coulomb barrier, that is its deviation from a harmonic shape. We also point out that the large low-energy slope is consistent with the surprisingly large surface diffusenesses required to fit recent high-precision fusion data.

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confidence: 92%

Fusion cross sections at deep sub-barrier energies

2003

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“…In the present analyses, we have used realistic microscopic nuclear densities as reported in the literature [11,12,20]. The only parameters that were allowed to vary were those of the absorptive Woods-Saxon imaginary potential.…”

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confidence: 99%

Nonlocal Description of the Nucleus-Nucleus Interaction

et al. 1997

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A parameter-free nonlocal double-folding-inspired interaction is proposed for the nucleus-nucleus systems. Excellent reproductions of elastic scattering differential cross section data were obtained for several systems over a wide range of bombarding energies. Our results should be of value in the description of the scattering of other many-body systems. [S0031-9007(97)05269-1] PACS numbers: 21.30. Fe, 25.70.Bc The mean field interaction between complex quantum many-body systems (nucleus-nucleus, cluster-cluster, etc.) is still an open question in current physics research. The study of this matter is a fundamental step in the understanding of many-body dynamics. In the nucleus-nucleus case, significant progress has been achieved concerning this question during the last decade [1], as a consequence of the measurement of accurate and extensive elastic scattering data at intermediate energies. Nuclear rainbow scattering, first observed in a systems [2][3][4] and later in light heavy ions [5][6][7], probes the nucleus-nucleus potential not only at the surface region but also at smaller distances, and ambiguities in the real part of the potentials have been removed. The resulting phenomenological interactions have significant dependence upon the bombarding energies. Some theoretical models have been developed to account for this energy dependence through realistic mean field potentials. Nowadays, the most successful models seem to be those based on the DDM3Y interaction [8][9][10] which is an improvement of the originally energyindependent double-folding potential [11]. But, in order to fit the data, the density-and energy-dependent DDM3Y potential needs a renormalization factor which besides being system dependent [1,12] is still slightly energy dependent [1].In this Letter we show, by an extensive description of elastic scattering data using an optical integro-differential equation, that the dependence on the bombarding energy of the real bare potential is mostly due to the intrinsically nonlocal nature of the effective one-body interaction. The real bare potential (by bare we mean the average, mean field, interaction with no coupled channels effects) is constructed using the folding model. It contains no adjustable parameters and is energy independent. The absorptive part is taken to be a three parameters WoodsSaxon interaction. We also supply a simple approach to obtain the local-equivalent energy-dependent potential.Before we set the stage for the analysis of elastic scattering data, we first describe our theoretical model.When dealing with nonlocal interactions, one is required to solve the integro-differential equationwhere, on physical grounds [13], the kernel function is taken to be symmetric: U͑ R, R 0 ͒ U͑ R 0 , R͒. We take for U͑ R, R 0 ͒ the following form motivated by the physics problem at handIn our analysis, the Coulomb interaction, V C ͑R͒, was obtained using an expression for the double sharp cutoff folded potential [14] and the local energy-dependent imaginary potential, W ͑R, E͒, was taken t...

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“…In coupled-channel formalism the nuclear potential used is usually of the form of the WS potential. Recent systematic studies of the heavy ion cross section data using this formalism reveal that in order to have an agreement between the theoretical and experimental cross section data a WS nuclear potential with a diffuseness parameter of 0.8 to 1.4 fm is needed [1][2][3][4][5], which is greater than the accepted value of 0.63 fm obtained from the scattering studies [6][7][8]. There have been different attempts in order to explain this discrepancy [9,10].…”

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confidence: 82%