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The Dirac optical potential for p-14Be elastic scattering is evaluated by the relativistic impulse approximation. Each of the real part and the imaginary part of the potential shows a pronounced "long tail" for the proton elastic scattering from halo nucleus 14Be compared with the potentials for proton scattering from its adjacent nuclei 12C and 16O, which do not have halo structures. This kind of "long tail" phenomenon suggests another signature for halo nuclei.