Positron annihilation profiles for HPs and He(³S^e)e⁺

Abstract

A theory of positron annihilation for exotic atoms is presented. An expression for the 2 annihilation rate for transitions to individual residual atom (or ion) states recoiling at a given recoil momentum is given. Additional expressions are presented for the annihilation rate integrated over recoil momenta or summed over all possible final atom states. These results are used to calculate the annihilation profiles for HPs and He(3Se)e+ and it is seen that the branching ratios to the population of the 1s ground states are 0.9777 and 0.9996, respectively.