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A semiclassical model for quark jet fragmentation

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Zeitschrift für Physik C Particles and Fields

Abstract

A semiclassical model is presented for the way the energy of a fast quark is transformed into observable hadrons. It reproduces the features of 1+1 dimensional QED (the Schwinger model) concerning a flat rapidity distribution in the central region. It also reproduces results from phenomenological considerations, which, based upon scaling, predict that meson formation in the fragmentation region can be described by an iterative scheme, implying a set of coupled integral equations. In particular the model predicts that the probability to find a meson containing the leading quark is independent of the Feynman scaling variablez.

The iterative structure corresponds to a Brownian motion with relevance both to the confinement problems and to the distribution of mass in the quark jet.

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References

  1. Schwinger, J.: Phys. Rev.128, 2425, (1962). In: ‘Theoretical Physics’, Trieste Lectures, 1962 (I.A.E.A., Vienna, 1963), p. 89

    Google Scholar 

  2. Casher, A., Kogut, J., Susskind, L.: Phys. Rev.D10, 732 (1974)

    Google Scholar 

  3. Feynman, R.P.: Photon-Hadron Interactions, New York: Benjamin 1972

    Google Scholar 

  4. Andersson, B., Gustafson, G., Peterson, C.: Phys. Lett.71B, 337 (1977)

    Google Scholar 

  5. Andersson, B., Gustafson, G., Peterson, C.: Phys. Lett.69B, 221 (1977)

    Google Scholar 

  6. Krzywicki, A., Petersson, B.: Phys. Rev.D6, 924 (1972)

    Google Scholar 

  7. Niedermayer, F.: Nucl. Phys.B79, 355 (1974)

    Google Scholar 

  8. Andersson, B., Gustafson, G., Peterson, C.: Nucl. Phys.B135, 273 (1978)

    Google Scholar 

  9. Feynman, R.P., Field, R.D.: Nucl. Phys.B136, 1 (1978)

    Google Scholar 

  10. Gottfried, K., Low, F.E.: CORNELL Preprint (1978)

  11. Callan, C.G., Coote, N., Gross, D.J.: Phys. Rev.D13, 1649 (1976)

    Google Scholar 

  12. Eichten, E., Gottfried, K., Kinoshita, T., Kogut, J., Lane, K.D., Yan, T.-M.: Phys. Rev. Lett.34, 369 (1975)

    Google Scholar 

  13. Van Hove, L.: Nuovo Cim.28, 798 (1963)

    Google Scholar 

  14. Krzywicki, A.: Nuovo Cim.32, 1069 (1964)

    Google Scholar 

  15. Lehmann, H., Pohlmeyer, K.: Commun. Math. Phys.20, 101 (1971)

    Google Scholar 

  16. Odorico, R., Roberto, V.: Nucl. Phys.B136, 333 (1978)

    Google Scholar 

  17. Andersson, B., Gustafson, G., Peterson, C.: LU TP 77-21

  18. Field, R.D., Feynman, R.P.: Phys. Rev.D15, 2590 (1977)

    Google Scholar 

  19. Goddard, P., Goldstone, J., Rebbi, C., Thorn, C.B.: Nucl. Phys.B56, 109 (1972)

    Google Scholar 

  20. Patrascioiu, A.: Nucl. Phys.B81, 525 (1974)

    Google Scholar 

  21. Bardeen, W.A., Bars, I., Hanson, A.J., Peccei, R.D.: Phys. Rev.D13 2364 (1976)

    Google Scholar 

  22. Artru, X., Mennessier, G.: Nucl. Phys.B70, 93 (1974)

    Google Scholar 

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Andersson, B., Gustafson, G. & Peterson, C. A semiclassical model for quark jet fragmentation. Z. Phys. C - Particles and Fields 1, 105–116 (1979). https://doi.org/10.1007/BF01450386

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  • DOI: https://doi.org/10.1007/BF01450386

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