I use a microscopic calculation of the weak capture process 3He (μ-, νμ) 3H, to extract and constrain the weak form factors of the nucleon, particularly the induced pseudo-scalar, and the second-class currents. The induced pseudo-scalar form-factor is found to agree with the prediction of chiral perturbation theory. The constraint found on the conservation of vector current (CVC) hypothesis is the tightest to date.
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Summarizing, I have shown that the weak process 3He(μ−,νμ)3H, can be used to get prominent bounds on the weak structure of the nucleon. In particular, the induced pseudo-scalar form factor is constrained to ±8%, and agrees with χPT prediction , and the CVC hypothesis is confirmed to a new limit |gs| < 0.045. The calculation shows the potential of nuclear ab initio calculations of weak processes as quantitative tests for the weak structure of the nucleon, as well as other properties of QCD at low energy. This work was supported, in part, by DOE grant number DE-FG0200ER41132.