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                                 Abstract:We attempt use a simple fireball model to explain the slow rise of the ratio RA≡〈NA〉/〈NN〉 of the charged multiplicity for proton-nucleus scattering to that for proton-proton scattering verses the apparent nuclear thickness <span style="border-top: 1px solid; padding-top: 0px;"><em>v</em></span>. The pseudo-rapidity distribution dNA/dη is also discussed. In this model, the pi mesons are emitted by fireballs created during nucleon-nucleon scattering. When the incident energy Elab Z 50 GeV/c2, these fire-balls take so long a time to expend to thermal equilibrium that the fireballs have passed through the nucleus completely before pions are emitted. As a result, the charged multiplicity is greatly reduced.This model gives excellent fittings to pp charged mutiplicity, RA verses <span style="border-top: 1px solid; padding-top: 0px;"><em>v</em></span> as well as Remalsion verses Elab without any free theoretical parameter. By choosing only one parameter for the equilibrium of angular momentum, dNA/dη can be fitted satisfactorily except for the large pseudo-rapidity region.
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