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We study theoretically how we can determine the neutron density distributions of unstable nuclei from proton elastic scattering. We apply the relativistic impulse model to study the sensitivities of the observables to the density distributions which are expressed in Woods-Saxon form. We find that the both radius and diffuseness of densities can be determined from restricted elastic scattering data in principle. We think this result is helpful to design future experiments. 0

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The paper was published with a graphical error in Fig. 1, and thus, this is replaced with the figure given below. The model tmav1, which was shown in the published Fig. 1 is an old version with larger root-mean-square radii. The correct tmav1 with root-mean-square radii given in Table I is provided in this figure. Because of smaller root-mean-square radii, the center values of the density are larger than those in the published Fig. 1. Potentials and observables have been calculated with the correct model, therefore, the content of the paper is not changed by replacement of the figure. 0 0.2 0.4 ρ ( fm −3 ) v 4 He(proton) tmav1 tmav2 tma 0 2 4 10 −4 10 −2 10 0 r(fm) 4 He(neutron) tmav1 tmav2 tma 2 4 r(fm) FIG. 1. (Color online) Density distributions of protons and neutrons for 4 He. The upper panels show the linear-scale distributions, and the lower ones show the logarithmic-scale distributions. Solid, dotted, and dash-dotted lines denote the model distributions for tmav1, tmav2, and tma, respectively. 0556-2813/2014/89(5)/059903(1) 059903-1