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The beta-decay of the 6He halo nucleus and the M1-transition processes of theexcited 6Li(0+) state into the alpha + d continuum are studied in a three-bodymodel. The initial nuclear states are described as an alpha + 2N system inhyperspherical coordinates on a Lagrange mesh. The energy dependence andabsolute values of the beta-transition probability per time and energy units ofa recent experiment can be reproduced very well with an appropriate alpha + dpotential. A total transition probability of 2.04E-6 s^(-1) is obtained inagreement with the experiment. Due to a strong cancellation of the internal andhalo components of the matrix elements, halo effects are shown to be veryimportant. For the M1 transition process the halo structure of the excited6Li(0+) isobaric analog state is confirmed. The cancellation effects, however,are not so strong. The transition probability is strongly sensitive to thedescription of the alpha + d phase shifts. Charge symmetry is analyzed througha comparison of the two processes. The present branching ratio Gamma(0^+ -->alpha + d)/Gamma(0^+ --> 1+) is of the order 1.0E-4, and is expected to beobservable in current experiments.

Electromagnetic and weak processes with light halo nuclei