Particle loss rates from electrostatic wells of arbitrary mirror ratios

Single integral expressions for the particle loss rate from an electrostatic trap with ZePhi0/T>>1 are derived that span all possible mirror ratios R, where Phi0, Z, and T are the potential well depth, charge number, and species temperature. The two expressions are shown to be identical for a range of intermediate R so that one expression is valid for small to intermediate R (R< or approx. =1), while the other is appropriate from intermediate to large R (R>>T/ZePhi0). Three particularly simple analytic limits are found to exist: (i) R<>1