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The Glauber model analysis of the elastic $^{6,8}$He+$p$ scattering data atenergies around 700 MeV/nucleon, measured in two separate experiments atGSI-Darmstadt, has been done using several phenomenological parametrizations ofthe nuclear matter density. By taking into account the new data points measuredat the high momentum transfer, the nuclear matter radii of $^{6,8}$He wereaccurately determined from the Glauber model analysis of the data, with thespin-orbital interaction explicitly taken into account. The well-known geometryfor the core and dineutron halo has been used with the new parametrizations ofthe $^{6}$He density to extract the detailed information on the structure of$^{6}$He in terms of the core and dineutron halo radii. An enhanced sensitivityof the data measured at the high momentum transfer to the core part of the$^{6,8}$He densities has been found.

Elastic proton scattering at intermediate energies as a probe of the $^{6,8}$He nuclear matter densities