Radiative lifetimes of the ro-vibrational bound states of HeLi⁺${\text{HeLi}}^{+}$(b³∑⁺$b^3{\sum }^{+}$) are calculated quantum-mechanically when both bound-bound and bound-free processes are taken into account. The calculations are restricted to the initial states with low rotational quantum numbers. For the rotationless molecular ion, the shortest lifetime is 1.30×10^-6s$1.30\times {10}^{-6}\mathrm{s}$ of the ground vibrational state. With increasing vibration excitations the radiative lifetimes slightly increase, but keep below 10^-5s${10}^{-5}\mathrm{s}$ for next 17 vibrational states, then they start to increase more rapidly up to 2.41×10^-2s$2.41\times {10}^{-2}\mathrm{s}$ for the highest vibrational state. The radiative lifetimes also tend to slightly prolong with increasing rotation excitations but stay on the same magnitude for the low rotational quantum numbers.

HeLi ⁺的振动振动束缚态的辐射寿命${\text{合力}}^{+}$（b ³ ∑ ⁺$b^3{\sum }^{+}$当同时考虑到有界和无界过程时，将以量子力学方式计算）。该计算仅限于具有低旋转量子数的初始状态。对于不旋转的分子离子，最短寿命为1.30×10 ^-6 s$1.30\times {10}^{--6}\mathrm{s}$的振动状态。随着振动激发的增加，辐射寿命略有增加，但保持在10 ^-5 s以下${10}^{--5}\mathrm{s}$在接下来的17个振动状态下，它们开始更快地增加，直到2.41×10 ^-2 s$2.41\times {10}^{--\mathrm{2个}}\mathrm{s}$以获得最高的振动状态。辐射寿命也随着旋转激发的增加而略微延长，但对于低旋转量子数则保持相同的幅度。