Emergent four-body parameter in universal two-species bosonic systems

The description of unitary few-boson systems is conceptually simple: only one parameter -- the three-body binding energy required to predict energies clusters with an arbitrary number bosons. Whether this correlation between three- and many-boson still holds for two species bosons which inter-species interaction resonant depends on how many particles each are in system. For few-body $A$ $B$ a $AB$ interaction, it known that emergent $AAB$ $ABB$ scales correlated ground-state $AAAB$ $ABBB$ systems, respectively. We find link three four bodies broken $AABB$ tetramer whose neither constrained by nor trimer. From de-correlation, we existence scale unique tetramer. In our explanation phenomenon, understand $AAAB$/$ABBB$ tetramers as representatives different universal classes $N$-body distinct renormalization-group discrete-scaling properties.