  We study the existence and location of the resonances of a $2\times 2$
semiclassical system of coupled Schr\"odinger operators, in the case where the
two electronic levels cross at some point, and one of them is bonding, while
the other one is anti-bonding. Considering energy levels just above that of the
crossing, we find the asymptotics of both the real parts and the imaginary
parts of the resonances close to such energies. This is a continuation of our
previous works where we considered energy levels around that of the crossing.
