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Energy Sum Rule and the Approach to Scaling: An Inclusive and Exclusive View

1973; American Physical Society; Volume: 8; Issue: 11 Linguagem: Inglês

10.1103/physrevd.8.4004

1538-4500

Dennis Sivers,

Theoretical and Computational Physics

The approach to Feynman-Yang scaling of single-particle inclusive spectra is discussed in terms of the average fraction of c.m. energy per event carried off by each type of constituent. Experimental values for energy fractions in $\mathrm{pp}$ collisions are presented and compared with the results of a Mueller-Regge expansion for the invariant cross sections in the fragmentation region. By examining the behavior of energy fractions in an independent-emission model, it is shown that known dynamic properties of the exclusive components of an inclusive process provide a natural scale by which the energy fractions approach their asymptotic values. The existence of such a scale is shown to explain the rapid approach to asymptotic behavior of the inclusive $\mathrm{pp}\ensuremath{\rightarrow}\ensuremath{\pi}$ spectra while the $\mathrm{pp}\ensuremath{\rightarrow}\overline{p}$ spectrum rises to an order of magnitude between Brookhaven Alternating Gradient Synchrotron and CERN Intersecting Storage Rings energies.