  Present nuclear detection techniques prevents us from determining if the
analogue of a Rydberg molecule exists for the nuclear case. But nothing in
nature disallows their existence. As in the atomic case, Rydberg nuclear
molecules would be a laboratory for new aspects and applications of nuclear
physics. We propose that Rydberg nuclear molecules, which represent the exotic,
halo nuclei version, such as 11Be + 11Be, of the well known quasimolecules
observed in stable nuclei such as 12C + 12C, might be common structures that
could manifest their existence along the dripline. A study of possible
candidates and the expected structure of such exotic clustering of two halo
nuclei: the Rydberg nuclear molecules, is made on the basis of three diferent
methods. It is shown that such cluster structures might be stable and
unexpectedly common.
