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.

中文翻译：

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能级交叉点上方的共振宽度

我们研究了耦合 Schr\"odinger 算子的 $2\times 2$ 半经典系统共振的存在和位置，在这种情况下，两个电子能级在某个点交叉，其中一个是键合，而另一个一个是反键合。考虑到刚好在交叉点之上的能级，我们发现共振的实部和虚部的渐近线都接近这种能量。这是我们之前考虑能级的工作的延续在十字路口附近。