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where $$\mathcal{H}^{(0)} = -\frac{\hbar^2}{2m}\nabla^{2}_{1}-\frac{\hbar^2}{2m}\nabla^{2}_{2}-\frac{e^2}{r_{a1}}-\frac{e^2}{r_{b2}}$$ and $$\mathcal{H}^{(1)} = \left(\frac {e^2}{R_{ab}} + \frac {e^2}{r_{12}} - \frac {e^2}{r_{a2}} - \frac {e^2}{r_{b1}}\right)$$

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