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Coulomb breakup effects on the elastic cross section of $^6$He+$^{209}$Bi scattering near Coulomb barrier energies

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arxiv nucl-th/0511059 v1 pith:5EU3ZLJG submitted 2005-11-22 nucl-th

classification nucl-th
keywords coulombmodelbarrierbreakupcdcccrossdataelastic
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abstract

We accurately analyze the $^6$He+$^{209}$Bi scattering at 19 and 22.5 MeV near the Coulomb barrier energy, using the continuum-discretized coupled-channels method (CDCC) based on the $n$+$n$+$^4$He+$^{209}$Bi four-body model. The three-body breakup continuum of $^6$He is discretized by diagonalizing the internal Hamiltonian of $^6$He in a space spanned by the Gaussian basis functions. The calculated elastic and total reaction cross sections are in good agreement with the experimental data, while the CDCC calculation based on the di-neutron model of $^6$He, i.e., the $^2n$+$^{4}$He+$^{209}$Bi three-body model, does not reproduce the data.

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