Test of Normal Statistics forKMesons

Abstract

A direct experimental test of the statement that $K$ mesons obey Bose statistics has not been carried out. For a certain class of reactions, we point out a purely geometrical experimental consequence of the statement that the wave function for a system of two spin zero $K$ mesons is either completely symmetric or completely antisymmetric under simultaneous interchange of the isotopic spin and spatial variables of the two particles. The test can be used to investigate the possibility of a more general kind of statistics (parastatistics) for $K$ mesons, in which case, the above experimental manifestation of complete symmetry or complete antisymmetry would not, in general, hold.