  We perform full three-dimensional numerical relaxations of isospinning Hopf
solitons with Hopf charge up to 8 in the Skyrme-Faddeev model with mass terms
included. We explicitly allow the soliton solution to deform and to break the
symmetries of the static configuration. It turns out that the model with its
rich spectrum of soliton solutions, often of similar energy, allows for
transmutations, formation of new solution types and the rearrangement of the
spectrum of minimal-energy solitons in a given topological sector when isospin
is added. We observe that the shape of isospinning Hopf solitons can differ
qualitatively from that of the static solution. In particular the solution type
of the lowest energy soliton can change. Our numerical results are of relevance
for the quantization of the classical soliton solutions.
