Sensitivity of reaction cross sections to halo nucleus density distributions

In order to clear up the sensitivity of the nucleus--nucleus reaction cross sections $\sigma_R$ to the nuclear matter distributions in exotic halo nuclei, we have calculated the values of $\sigma_R$ for scattering of $^6$He, $^{11}$Li, and $^{19}$C nuclei on several nuclear targets at the energy of 0.8 GeV/nucleon. The calculations were performed in the "rigid target" approximation to the Glauber theory, different shapes of the nuclear density distributions in $^6$He, $^{11}$Li, and $^{19}$C being assumed.