The multiplicity dependence of inclusive p_t spectra from p-pcollis ions at sqrt s = 200 GeV

We report measurements of transverse momentum pt spectra forten event multiplicity classes of p-p collisions at sqrt s = 200$ GeV. Byanalyzing the multiplicity dependence we find that the spectrum shape canbe decomposed into a part with amplitude proportional to multiplicity anddescribed by a Levy distribution on transverse mass mt, and a part withamplitude proportional to multiplicity squared and described by agaussian distribution on transverse rapidity yt. The functional forms ofthe two parts are nearly independent of event multiplicity. The two partscan be identified with the soft and hard components of a two-componentmodel of p-p collisions. This analysis then provides the first isolationof the hard component of the pt spectrum as a distribution of simple formon yt.