  Main theoretical approaches to weak radiative hyperon decays are briefly
reviewed. It is emphasized that only approaches with great predictive power
should be seriously considered when seeking a resolution of the puzzle
presented by observed large negative asymmetry alpha (Sigma ^+ --> p gamma). In
such cases, asymmetry in the Xi ^0 --> Lambda gamma decay is always large while
its sign is positive (negative) if Hara's theorem is violated (satisfied).
Measuring this asymmetry is therefore crucial for determining whether the large
value of alpha (Sigma ^+ --> p gamma) is due to large SU(3) breaking or to some
deeper reason. Some arguments suggesting that violation of Hara's theorem might
be a feature of Nature, and hints as to its possible origin are also given.
