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Close to converged energies and wave functions for the positron binding systems, LiPs and $e^+$Be are computed using the stochastic variational method. Binding energies and annihilation rates from both $ab$-$initio$ and fixed core calculations are determined and found to be in agreement. The $ab$-$initio$ binding energy of $e^+$Be was 0.00316 Hartree while that for LiPs was 0.01237 Hartree.
}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.071510.072110a}, url = {http://global-sci.org/intro/article_detail/jams/8088.html} }Close to converged energies and wave functions for the positron binding systems, LiPs and $e^+$Be are computed using the stochastic variational method. Binding energies and annihilation rates from both $ab$-$initio$ and fixed core calculations are determined and found to be in agreement. The $ab$-$initio$ binding energy of $e^+$Be was 0.00316 Hartree while that for LiPs was 0.01237 Hartree.