  The capabilities of some approaches to the relativistic description of
hadronic states with any rest spin are analysed. The key feature in the
Wigner's construction of irreducible representations of the Poincare group
which makes this construction fruitless in the particle physics is picked out.
A realization of unitary irreducible representations of the Poincare group of
the standard type, which yet have never been considered, is discussed. The
viability of the description of hadrons by the Poincare group representations
of the standard type in the space of the infinite-component ISFIR-class fields
is pointed out.
