Internal stucture of clusters in ¹¹²⁻¹²²Ba nuclei within relativistic mean field theory

We study the clustering structure and the internal or sub-structure of clusters in $^{112-122}$Ba nuclei within the framework of relativistic mean field theory in an axially deformed cylindrical co-ordinate. We calculate the total density distribution, and the individual neutrons and protons density distributions. From the analysis of the clustering confugurations of the density distributions of various shapes, we find different sub-structures inside the Ba nuclei considered here. The important step, carried out for the first time, is the counting of number of protons and neutrons present in the clustering region(s). $^{12}$C is shown to consitute the cluster configuration of Ba nuclei in most cases, with $^{2,3}$H and $^4$He constituting the neck between two fissioning symmetrical fragments.