  On the basis of extended simulations we provide some results concerning the
spectrum of Massive SU(2) Yang-Mills on the lattice. We study the "time"
correlator of local gauge invariant operators integrated over the remaining
three dimensions. The energy gaps are measured in the isospin I=0,1 and
internal spin J=0,1 channels. No correlation is found in the I=1,J=0 channel.
In the I=1, J=1 channel and far from the critical mass value $m_c$ the energy
gap roughly follows the bare value $m$ (vector mesons). In approaching the
critical value $m_c$ at $\beta$ fixed, there is a bifurcation of the energy
gap: one branch follows the value $m$, while the new is much larger and it
shows a more and more dominant weight. This phenomenon might be the sign of two
important features: the long range correlation near the fixed point at $\beta
\to \infty$ implied by the low energy gap and the screening (or confining)
mechanisms across the $m=m_c$ associated to the larger gap. The I=0, J=0,1 gaps
are of the same order of magnitude, typically larger than the I=1, J=1 gap (for
$m>>m_c$). For $m\sim m_c$ both I=0 gaps have a dramatic drop with minima near
the value $m$. This behavior might correspond to the formation of I=0 bound
states both in the J=0 and J=1 channels.
