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Global Optical Potential for the Elastic Scattering of $^{6}$He at Low Energies

A set of global optical potential has been derived to describe the interactions of $^{6}$He at low energies. The elastic scattering angular distribution data measured so far for many systems, ranging from $^{12}$C to $^{209}$Bi, have been considered within the framework of the optical model in order to find a global potential set to describe the experimental data consistently. We report that very good agreement between theoretical and experimental results has been obtained with small $χ^{2}/N$ values by using the derived potential set. The reaction cross section and volume integrals of the potentials have been deduced from the theoretical calculations for all studied systems at relevant energies.