We present microscopic density functional theory calculations of the total dipole absorption cross sections of the even-A calcium isotopes from Ca through Ca. The results reveal the onset of a collective dipole oscillation occurring at low energy and decoupled from the giant dipole resonance. The radial density fluctuations associated with this low-lying mode have the character of the pygmy dipole resonance predicted to exist in neutron rich nuclei.PACS number(s): 21.60.Jz, 25.30.Fj, 27.40+2 Recently, the availability of beams of light, unstable nuclei has elicited increased interest in the physics of neutron rich nuclei [1]. These nuclei display several features not readily observed in stable light nuclei with N=Z. One of these is the so-called "neutron halo" [2], which has been the

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