Abstract

The scaling property of inelastic electron scattering with a fixed final hadron multiplicity is analysed. The relation between the structure functions and the average multiplicity at infinite energy is discussed. A possibility exists that, if one excludes all soft mesons, the remaining hadron multiplicity at infinite energy may stay finite and not too high, in which case some insight may be gained as to why the observed structure functions appear to scale at a relatively low energy. By using the tree diagrams of the usual SU 2 phenomenological Lagrangian, explicit calculations of the structure functions W 1 and νW 2 are made for all two-body final channels, such as pπ 0, np +, etc.; it is found that, in this simple model, the scaling property is satisfied for these particular channels. Possible experimental consequences are discussed.

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