According to selection rules the beta-decay of He-8 O-g.s.(+) to the f
irst excited 1(+), 0.98 MeV state of Li-8 is an allowed Gamow-Teller t
ransition, but it is strongly suppressed by the different SU(4) spin-i
sospin structure of the He-8 and Li-8 stares. We find that a three-bod
y alpha + t + n model of Li-8 strongly underestimates the probability
for beta-decay (to the Li-8 (0.98) state, Li-7 + n continuum and alpha
+ t + n continuum). A qualitative explanation of total B-GT values, e
xtracted from experiment, to different 1(+) states can be given suppos
ing an admixture of a ''democratic'' alpha + 4N configuration in the L
i-8 wave functions. We show that the experimental beta-delayed neutron
spectrum provides some evidence for the existence of 1(-) and/or 2(-)
states in the vicinity of the two-body Li-7 + n and Li-7 (0.47) + n
thresholds. Using the phase volume approximation to the analysis of th
e triton spectrum, the position of the Gamow-Teller resonance (Halo An
alogue state) is estimated between 8.5 and 8.8 MeV excitation energy i
n the Li-8 spectrum. One of the possibilities to excite this state cou
ld be the Li-6(He-6,alpha)He-8 reaction.