Widths of resonances above an energy-level crossing

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