论文标题
在高度准确的库仑两中心系统的计算上
On highly accurate computations of the Coulomb two-center systems with unit charges
论文作者
论文摘要
我们最近对具有单位电荷的库仑两中心系统进行了高度准确的计算的结果，讨论了$ x^{+} x^{+} e^{ - } $和$ x^{+} y^{+} y^{+} e^{ - } $。特别是，我们已经确定了（非常高的精度）地面$ 1sσ-$状态的总能量，在两个中心的绝热（或分子）H $ _ {2}^{+} $，d $ _2^{+} $ _2^{+} $，hd $^$^$^{+} $， dt $^{+} $ ions。在这些计算中，我们应用了新的氢同位素，这些氢同位素已在最近的高能实验中进行了测量。我们还针对模型的总能量$ x^{+} x^{+} e^{ - } $ ions得出了（并测试）的准确质量交互公式。通过使用此公式，我们分析了在三体原子（或库仑）应用中，绝热两中心近似的总体准确性和有效性。
Results of our recent highly accurate computations of the Coulomb two-center systems with the unit electrical charges $X^{+} X^{+} e^{-}$ and $X^{+} Y^{+} e^{-}$ are discussed. In particular, we have determined (to very high accuracy) the total energies of the ground $1 s σ-$states in the two-center adiabatic (or molecular) H$_{2}^{+}$, D$_2^{+}$, HD$^{+}$, HT$^{+}$, T$^{+}_{2}$ and DT$^{+}$ ions. In these computations we applied the new masses of hydrogen isotopes, which have been measured in the recent high-energy experiments. We also derived (and tested) our accurate mass-interpolation formula for the total energies of the model two-center $X^{+} X^{+} e^{-}$ ions with very heavy masses of the point $X^{+}$ particles ($M_X \ge$ 100,000 $m_e$). By using this formula we analyze the overall accuracy and validity of the adiabatic two-center approximation in application to the three-body atomic (or Coulomb) systems.
