A general and linear relationship is found between the fireball mass M* and the multiplicity ( n ) of mesons from pp collisions and Fp annihilations, the characteristics of M* being determined by the scaling parameter used to modify the Bose-Einstein distribution. In the scaling limit, this relationship is identical with the well known power law < n ) a: Ell2. A remark is made on its extension to asymmetric fireballs such as pion-nucleon collisions.

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