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Scaling violation in the pion structure function

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Zeitschrift für Physik C Particles and Fields

Abstract

TheQ 2-dependence of the pion structure function extracted from high transverse momentum π0 production cross sections is examined. We find, in thex→1 region, that this dependence can be parametrized by a power of (1−x) increasing as ln lnQ 2. This is in agreement with the expectations of asymptotic freedom and also seen in the structure function extracted from dilepton production. It is not possible to fit all of theQ 2-dependence with a simple power law term.

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References

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  9. We use the average value of the quantity\(Q^2 = \frac{{2stu}}{{s^2 + t^2 + u^2 }}\) for each data point

  10. Sincex min=0.5 in the averaging procedure, we are insensitive to thex→0 behavior. We fix the power ofx to be 0.5 for all fits

  11. Note that the linear dependence should not be considered as a fit to the points, since the overall coefficient was allowed to vary for eachQ 2-bin

  12. Although the parameterC may not factor from reaction to reaction, its order of magnitude must certainly be a typical hadronic mass or intrinsic momentum scale

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Authors and Affiliations

  1. Department of Physics, University of Arizona, 85721, Tucson, AZ, USA

    R. L. Thews & Y. C. Lin

  2. University of Arizona, 85721, Tucson, AZ, USA

    Kwan-Wu Lai

  3. Department of Physics, Brookhaven National Laboratory, 11973, Upton, NY, USA

    Kwan-Wu Lai

Authors
  1. R. L. Thews
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  2. Y. C. Lin
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  3. Kwan-Wu Lai
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Additional information

Supported by DOE Grant # DEAC02-80ER10663 and NSF Grant # PHY-8008225

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Thews, R.L., Lin, Y.C. & Lai, KW. Scaling violation in the pion structure function. Z. Phys. C - Particles and Fields 11, 121–123 (1981). https://doi.org/10.1007/BF01573994

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  • DOI: https://doi.org/10.1007/BF01573994

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