The fixed-core stochastic variational method has been used to predict the e
xistence of a Zne(+) bound state with a binding energy of 0.001 425 Hartree
and a 2 gamma annihilation rate of 0.248 x 10(9) s(-1). The underlying val
idity of the model Hamiltonian was substantiated by predictions of the bind
ing energies of Zn and Zn+. The convergence of the binding energy was very
slow and further minimization of the energy was halted once a formal demons
tration of binding had been achieved. The results of a single-positron mode
l calculation of Zne(+) taken in conjunction with an examination of the con
vergence pattern suggest that the true binding energy of the underlying mod
el Hamiltonian is 0.0005-0.0010 Hartree larger than the quoted value.