Physical Review B
Path integral Monte Carlo (PIMC) can reproduce the results of simple analytical calculations in which a single quantum particle is used to represent positronium within an idealized spherical pore. Our calculations improve on this approach by explicitly treating the positronium as a two-particle e(-), e(+) system interacting via the Coulomb interaction. We study the lifetime and the internal contact density, kappa, which controls the self-annihilation behavior for positronium in model spherical pores as a function of temperature and pore size. We compare the results with both PIMC and analytical calculations for a single-particle model.
Amy Lisa Graves and P. A. Sterne.
"Path Integral Monte Carlo Simulations Of Positronium Annihilation: From Micropores To Mesopores".
Physical Review B.