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Applying two kinds of inclusive sum rules to the inelastic P+P-7P+X reaction and taking account of the broken scaling (i.e., boundary effect) near JxFJ~1, we obtain Ja• = (n(s,) ·JO"Inei+Jn ·O";nei (s,)) /2, where Jn=n(s,) -n(s,) is a difference between two average multiplicities at energies s, and s, and Ja• is a difference between the cross sections of the inelastic proton spectra. From this relation it can be proved that about 80% of the increase observed in 0"1ne1 {J11Ine1=3.3±0.9 mb) among the ISR energies is attributed to this mechanism. On the other hand, it is shown that an increase of 111nel between the proton synchrotron (PS) energy and the intersecting storage ring (ISR) energy cannot be explained by this mechanism.

Increases of Inelastic Total Cross Section and of Average Multiplicity in Inelastic P+P ->P+X Reaction