论文标题
在负电荷的PS $^{ - } $ ion中绑定状态属性和正电子歼灭。在我们银河系中的快速正选项和歼灭$γ$ quanta的热源上
Bound state properties and positron annihilation in the negatively charged Ps$^{-}$ ion. On thermal sources of fast positrons and annihilation $γ$-quanta in our Galaxy
论文作者
论文摘要
地面的总能量和其他结合状态属性（BOND）$ 1^{1} s $ - 状态在PS $^{ - } $中（或$ e^{ - } e^{+} e^{ - } $）离子被确定为非常高精度。我们在该离子中对基态的最佳变性能量等于$ e $ = -0.26200507023298010777777040211998 $ a.u. $，这是该离子获得的最低变异能量。通过使用我们的高波函数，我们评估了（非常高的精度）PS $^{ - } $ ion的许多不同期望值（或属性），这些值在早期的研究中从未确定过。这包括许多$ \ langle r^{k} _ {ij} \ rangle $期望值（其中$ 5 \ le k \ le 11 $），所有独立的quasi-singular-singular vinty-type期望值$ \ langle \ langle \ langle \ langle \ frac { r} _ {jk}} {r^{3} _ {ij}} \ rangle $，这两个真正的单数$ \ langle \ frac \ frac {1} {r^{3} _ {ij}} _ {ij}}} \ rangle $期望值，等等。 PS $^{ - } $ ion我们已经评估了（非常高的精度）两，三，四和五光子歼灭的速率。我们还讨论了位于我们银河系中的快速正选项和an灭$γ$ quanta的热源。
The total energy and other bound state properties of the ground (bound) $1^{1}S$-state in the Ps$^{-}$ (or $e^{-}e^{+}e^{-}$) ion are determined to very high accuracy. Our best variational energy for the ground state in this ion equals $E$ = -0.26200507023298010777040211998 $a.u.$, which is the lowest variational energy ever obtained for this ion. By using our highly wave functions we evaluated (to very high accuracy) a number of different expectation values (or properties) of the Ps$^{-}$ ion which have never been determined in earlier studies. This includes a number of $\langle r^{k}_{ij} \rangle$ expectation values (where $5 \le k \le 11$), all independent quasi-singular Vinty-type expectation values $\langle \frac{{\bf r}_{ij} {\bf r}_{jk}}{r^{3}_{ij}} \rangle$, the two truly singular $\langle \frac{1}{r^{3}_{ij}} \rangle$ expectation values, etc. Our highly accurate expectation values of the electron-positron delta-function of the Ps$^{-}$ ion we have evaluated (to very high accuracy) the rates of two-, three-, four- and five-photon annihilation. We also discuss thermal sources of the fast positrons and annihilation $γ$-quanta located in our Galaxy.
