The ground state and S-wave resonance states of positronium hydride
氫化正負電子素之基態和S波函數之共振態

Z. C. Yan and Y. K. Ho
Phys. Rev. A 59, 2697 (1999)

The fully correlated calculations in Hylleraas coordinates for the nonrelativistic ground-state energy and the first three S-wave resonances of positronium hydride are reported. For the resonances, the positions and widths are determined using the method of complex-coordinate rotation. Our results significantly improve previous work. For example, the ground-state energy is about five parts in 10⁹ in accuracy, the lowest variational upper bound reported to date. A comparison with other previous work is made.

我們利用喜那萊 (Hylleraas) 波函數去計算氫化正負電子素中的前三個S波函數的共振態，及其非相對論基態能量；在共振態部份，利用複數座標旋轉法計算出其能階及寬度，所得之結果比他人計算出之結果更為精確。此外，在基態的能量計算中，我們計算所得的結果達到小數點後第９位的精確值，是國際文獻中最準確的。