Abstract
A simple two component uncorrelated cascade model is proposed which reproduces the semi-inclusive Sphericity distributions observed in lowp T hadron-hadron collisions. It is pointed out that if α is an exponential parameter inserted into the quark-quark structure function, theS dependence of the semi-inclusive sphericity distribution for multiplicityn goes as exp (−α/nS). This conclusion agrees extremely well with the experimental data.
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In order to make a sensible χ2-fit we limited in Figs. 2a, 2b and 2c the distributions to those bins contributing at least 10 events. Therefore, we limited ourselves to S<0.725, and thus rejected in the fit 3 four prong events, 12 six prong events and 14 eight prong events. As for the data of Fig. 1, the sphericity interval used is 0.075<S<0.825. Three events having S>0.825 have been excluded and the first bin (449 events with 0<S<0.025) has not been included in the fit
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It is desirable to utilize more sensitive variable than Oblateness or Aplanarity which are defined by the difference or the ratio between the momentum component normal to the event plane and the momentum component in the event plane perpendicular to the jet axis
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Ratti, S.P., Nakamura, E.R. & Introzzi, G. Behaviour of semi-inclusive sphericity distributions and a two-component uncorrelated cascade model. Z. Phys. C - Particles and Fields 24, 171–174 (1984). https://doi.org/10.1007/BF01571722
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DOI: https://doi.org/10.1007/BF01571722