This article on wikipedia on alpha decay states:
One curiosity is why alpha particles, helium nuclei, should be preferentially emitted as opposed to other particles like a single proton or neutron or other atomic nuclei.[note 1] Part of the answer comes from conservation of wave function symmetry, which prevents a particle from spontaneously changing from exhibiting Bose–Einstein statistics (if it had an even number of nucleons) to Fermi–Dirac statistics (if it had an odd number of nucleons) or vice versa. Single proton emission, or the emission of any particle with an odd number of nucleons would violate this conservation law.
Is this incorrect or misleading somehow? Single proton emission actually exists.
(Note added later: the text quoted above has been deleted from the wikipedia article, apparently by a reader of this post.)