Using the coupled rearrangement channel method, we have calculated res
onance energies for meta-stable states of the molecular ion dt mu ass
ociated with the adiabatic 3 sigma potential. The vacuum polarization
effect was taken into account by direct inclusion of the Uehling poten
tial in our three-body Hamiltonian. Comparing with the solution of the
pure Coulombic Schrodinger equation a shift of approximately +0.1 eV
is found. Thus the infinite series of states of the Coulombic Schrodin
ger equation becomes truncated. Eleven states remain semi-bound, five
of them with binding energy smaller than the dissociation energy of th
e D-2 molecule, facilitating formation of dt mu in t mu(2s)-D-2 scatt
ering by means of the Vesman-mechanism.