Statistical approach to calculation of lifetime with respect to annihilation of a positron-anion system
The lifetimes with respect to annihilation of bound positron-anion systems are calculated in the framework of a statistical model of an atom with consideration of anion electrons. To find the positron wave function, a variational procedure with allowance for the explicit form of the potential that acts on the positron in the anion is used. Calculated lifetimes are compared with Hartree-Fock calculations for some halogen ions. Ways of comparing the results of the theory with experiment are noted.