The variational Monte Carlo (VMC) and Green's function Monte Carlo (GFMC) techniques are powerful tools for calculating properties of light nuclei. These methods in combination with the Argonne v_18 two-nucleon and Illinois-2 three-nucleon potentials, have recently been applied to calculate electroweak matrix elements in A=6, 7 nuclei with some success. We are now applying the GFMC method to additional off-diagonal matrix elements for nuclei with A=8. The electroweak transitions for A=8 are more challenging because many involve transitions from a big component of an initial state to a small component of a final state. In addition some of the physical states have significant isospin mixing. Of particular interest are the weak decay processes 8Li (β-) 8Be* and 8B (β+) 8Be*.
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