ひとつ上へ

$$T_{1/2} = \sqrt{\dfrac{2m}{E}} a \log 2 \exp \left[ \dfrac{2\sqrt{2mE}}{\hbar}b (\arccos\varepsilon - \varepsilon\sqrt{1-\varepsilon^{2}}) \right]$$ となる。$\mathcal{O}(\varepsilon^{3})$ までとると $$T_{1/2} = \sqrt{\dfrac{2m}{E}} a \log 2 \exp\left[ \dfrac{\pi\sqrt{2mc^{2}}\gamma}{\sqrt{E}} - 4\sqrt{\dfrac{2mc^{2}\gamma a}{\hbar c}} + \frac{2}{3} \sqrt{\dfrac{2mc^{2}a^{3}}{\gamma(\hbar c)^{3}}E} \right]$$ ただし、 $$\gamma = Z_{\alpha}Z_{D}\alpha$$