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There exists a class of nuclei that are obtained by adding one nucleon to aloosely-bound nucleon-core system, for example $^{12}$Be, $^9$C, $^{18}$Ne. Forsuch nuclei, one-nucleon overlap integrals that represent single-particlemotion can strongly differ from the standard ones due to the correlationsbetween the two nucleons above the core. The possible non-standard overlapbehaviour should be included in the interpretation of the experimental dataderived from one nucleon removal reactions such as knockout, transfer andbreakup, as well as the predictions of low-energy nucleon capture that leads tothese nuclei. We investigate the non-standard behaviour within a three-bodymodel and discuss the challenges associated with this problem.

Single-particle motion at large distances in 2N+core cluster systems near the drip line: a challenge for nuclear theory and experiment