A spatial configuration of light nuclei that involves two excess neutrons (6He, 10Be, and 12B) is studied by analyzing cross sections for various reactions on these nuclei: 6He(α, α)6He, 9Be(d, p)10Be, and 10B(t, p)12B. Pole dineutron-transfer mechanisms (dineutron configuration of the neutron periphery) and second-order mechanisms involving sequential neutron transfer (cigar-like configuration of the neutron periphery) are taken into account in the calculations. It is shown that the neutron periphery is drastically different in the nuclei in question: in 6He, there is a halo receiving a contribution from both configurations; in 10Be, there is an only slightly noticeable halo featuring a contribution of practically one neutron from the cigar-like configuration; and, in 12B, there is a neutron skin.
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