The dependence between neutron skin thickness and neutron abrasion cross section (σ nabr) for neutron-rich nuclei is investigated within the framework of the statistical abrasion ablation model.Assuming that the density distributions for proton and neutron are of Fermi-type,and adjusting the diffuseness parameter of neutron density distribution in the droplet model,we find out the good linear correlation between the neutron skin thickness and the abrasion cross section σ nabr for neutron-rich nuclei.The uncertainty of neutron skin thickness determined from σ nabr is very small.It is suggested that σ nabr can be used as a new experimental observable to extract the neutron skin thickness for neutronrich nucleus.The scaling behaviours between neutron skin thickness and σ nabr,separately,for isotopes of 26 35 Na,44 56 Ar,48 60 Ca,67 78 Ni are also investigated.
