Abstract
The review is concerned with studies of one-nucleon and two-nucleon halos in isobar analog states of light nuclei with \(A = 6,\,\,12,\,\,13,\,\,14\) . The study allow us to investigate manifestations of isotopic invariance in new objects and to relate properties of the neutrino and proton halos. The existence of a halo in isobar analog states has been little studied experimentally so far. It is proposed to solve the problem of experimentally determining the radii of some possible halo states in nuclei from 6Li to 14O that make up isobar analog doublets and triplets. New possible halo candidates are found in the 13C and 13N mirror nuclei, in the \(A\) = 12 and \(A\) = 14 isobar analog multiplets. Note that the isobar analog states with \(T = 1\) in the \(A = 12\) triplet are experimentally investigated for the first time in the transfer and charge-exchange reactions. It is established that the root-mean-square radii of the \({{0}^{ + }}\) states in the \(A = 6\) multiplet coincide within errors. The results are obtained by two independent methods, ANC and MDM.
