On the topology of nuclear manifolds

Because the complete inhomogeneous Lorentz group L or Poincare group, is the symmetry group of the Hamiltonian for r interacting nucleons, the eigenstates of this Hamiltonian must necessarily form bases for irreducible representations of L, thus in the case of the self-representation of L, the mass operator is a 4x4 unit matrix with eigenvalues corresponding to the masses of the proton, antiproton, neutron and antineutron. Then representations of ensembles of r nucleons can be constructed by taking the r-th Kronecker product of self-representations. In this paper the argument of the Wigner supermultiplet theory is summarised, followed by a discussion of how the topology of nuclear manifold is effected by contractions