  The promotion of collinear classical spin configurations as well as the
enhanced tendency towards nearest-neighbor clustering of the quantum spins are
typical features of the frustrating isotropic three-body exchange interactions
in Heisenberg spin systems. Based on numerical density-matrix renormalization
group calculations, we demonstrate that these extra interactions in the
Heisenberg chain constructed from alternating S=3/2 and sigma=1/2 site spins
can generate numerous specific quantum spin states, including some
partially-polarized ferrimagnetic states as well as a doubly-degenerate
non-magnetic gapped phase. In the non-magnetic region of the phase diagram, the
model describes a crossover between the spin-1 and spin-2 Haldane-type states.
