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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 tovery high accuracy. Our best variational energy for the ground state in thision equals $E$ = -0.26200507023298010777040211998 $a.u.$, which is the lowestvariational energy ever obtained for this ion. By using our highly wavefunctions we evaluated (to very high accuracy) a number of differentexpectation values (or properties) of the Ps$^{-}$ ion which have never beendetermined in earlier studies. This includes a number of $\langle r^{k}_{ij}\rangle$ expectation values (where $5 \le k \le 11$), all independentquasi-singular Vinty-type expectation values $\langle \frac{{\bf r}_{ij} {\bfr}_{jk}}{r^{3}_{ij}} \rangle$, the two truly singular $\langle\frac{1}{r^{3}_{ij}} \rangle$ expectation values, etc. Our highly accurateexpectation values of the electron-positron delta-function of the Ps$^{-}$ ionwe have evaluated (to very high accuracy) the rates of two-, three-, four- andfive-photon annihilation. We also discuss thermal sources of the fast positronsand annihilation $\gamma$-quanta located in our Galaxy.

Bound state properties and positron annihilation in the negatively  charged Ps$^{-}$ ion. On thermal sources of fast positrons and annihilation  $\gamma$-quanta in our Galaxy