A possible experimental observable for the determination of neutron skin thickness

The dependence between neutron skin thickness and neutron abrasion cross section ($\sigma_{\rm nabr}$) 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 $\sigma_{\rm nabr}$ for neutron-rich nuclei. The uncertainty of neutron skin thickness determined from $\sigma_{\rm nabr}$ is very small. It is suggested that $\sigma_{\rm nabr}$ can be used as a new experimental observable to extract the neutron skin thickness for neutron-rich nucleus. The scaling behaviours between neutron skin thickness and $\sigma_{\rm nabr}$, separately, for isotopes of $^{26-35}$Na, $^{44-56}$Ar, $^{48-60}$Ca, $^{67-78}$Ni are also investigated.