  We consider the three-ligand spin-star structure through homogeneous
Heisenberg interactions (XXX-3LSSS) in the framework of dynamical pairwise
entanglement. It is shown that the time evolution of the central qubit
"one-particle" state (COPS) results in the generation of quantum W states at
periodical time instants. On the contrary, W states cannot be generated from
the time evolution of a ligand "one-particle" state (LOPS). We also investigate
the dynamical behavior of two-point quantum correlations as well as the
expectation values of the different spin-components for each element in the
XXX-3LSSS. It is found that when a W state is generated, the same value of
concurrence among all qubits arises from xx and yy two-point quantum
correlations. On the opposite, zz quantum correlation between any two qubits
vanishes at these time instants.
