Abstract

A microscopic analysis of the optical potentials (OPs) and cross sections of elastic scattering of 8B on 12C, 58Ni, and 208Pb targets at energies 20 < E < 170 MeV and 12,14Be on 12C at 56 MeV/nucleon is carried out. The real part of the OP is calculated by a folding procedure and the imaginary part is obtained on the base of the high-energy approximation (HEA). The density distributions of 8B evaluated within the variational Monte Carlo (VMC) model and the three-cluster model (3CM) are used to construct the potentials. The 14Be densities obtained in the framework of the the generator coordinate method (GCM) are used to calculate the optical potentials, while for the same purpose both the VMC model and GCM densities of 12Be are used. In the hybrid model developed and explored in our previous works, the only free parameters are the depths of the real and imaginary parts of OP obtained by fitting the experimental data. The use of HEA to estimate the imaginary OP at energies just above the Coulomb barrier is discussed. In addition, cluster model, in which 8B consists of a p-halo and the 7Be core, is applied to calculate the breakup cross sections of 8B nucleus on 9Be, 12C, and 197Au targets, as well as momentum distributions of 7Be fragments. A good agreement of the theoretical results with the available experimental data is obtained. It is concluded that the reaction studies performed in this work may provide supplemental information on the internal spatial structure of the proton- and neutron-halo nuclei.

Highlights

  • Research on short-lived unstable nuclei has become very active following the discovery of exotic phenomena, such as neutron halo, neutron skin, and the disappearance of the magic numbers

  • The narrow momentum distributions of 7Be fragments in the breakup of 8B measured in C, Al, and Pb targets at 1471 MeV/nucleon with full width at half maximum (FWHM) of 81 ± 6 MeV/c in all targets have been interpreted in terms of a largely extended proton distribution for 8B and have implied a radius of 2.78 fm [3]

  • The direct and exchange isoscalar and isovector parts of the real optical potentials (OPs) (VDF) were calculated microscopically using the double-folding procedure and density dependent M3Y (CDM3Y6-type) effective interaction based on the Paris NN potential

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Summary

Introduction

Research on short-lived unstable nuclei has become very active following the discovery of exotic phenomena, such as neutron halo, neutron skin, and the disappearance of the magic numbers. The same model is applied to calculate the elastic scattering 12,14Be+12C cross sections at 56 MeV/nucleon Such a study could lead to a minimization of the ambiguities in the fitted OPs. As in our previous works [11,12,13,14,15], where processes with neutron-rich He, Li, and Be isotopes were considered, we use the hybrid model of OP [16], in which the real part (ReOP) is calculated by a folding of a nuclear density and the effective nucleon-nucleon (NN) potentials [17] including direct and exchange isoscalar (IS) and isovector (IV) parts. Experimental data are taken from Ref. [25]

Breakup reactions of 8B
Conclusions
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