氚分子离子束缚振转谱中的四极跃迁
Quadrupole transitions in the bound rotational-vibrational spectrum of the tritium molecular ion
摘要：
同同位素异构体H $_2^+$和D $_2^+$一样，使用拉格朗日网格方法计算基态的同素双离子T $_2^+$的非相对论能量（{ \it J. Phys. B：At.摩尔光学物理学} { \bf 45} 065101和{ \it J. Phys. B：At.摩尔光学物理学} { \bf 46} 245101）。能量和本征函数得到了四个最低的束缚振动态（$v=0,1,2,3$），支持62，61，60和58个束缚转动态，分别。直到$L =$ 68，还提供了一些准静态。从所得到的波函数，每单位时间的电四极跃迁计算这些状态之间的整个转动带。广泛的结果以6位有效数字表示。给出了对称系统$^{\infty}$ H $_2^+$，$^{\infty}$ H $^-$，Ps $^{-}$，H $^-$，D $^-$，T $^-$，$μ^+μ^+e$和$μ^+e\,e$的基态能量与$β=m_3/(2m+m_3)$的函数关系.
英文摘要：
The nonrelativistic energies of the homonuclear ion T$_2^+$ are calculated for the ground state using the Lagrange-mesh method as was done for the isotopomers H$_2^+$ and D$_2^+$ ({\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 45} 065101 and {\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 46} 245101). Energies and eigenfunctions are obtained up to four of the lowest bound vibrational states ($v=0,1,2,3$) which support 62, 61, 60 and 58 bound rotational states, respectively. Some quasibound sates are also presented until $L =$ 68. From the obtained wave functions, electric quadrupole transitions per time unit are calculated between those states over the whole rotational bands. Extensive results are presented with 6 significant digits. The ground state energy of the symmetric systems $^{\infty}$H$_2^+$, $^{\infty}$H$^-$, Ps$^{-}$, H$^-$, D$^-$, T$^-$, $μ^+μ^+e$ and $μ^+e\,e$ is presented with high accuracy as a function of $β=m_3/(2m+m_3)$.
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