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.
Similar content being viewed by others
References
Schwinger, J.: Phys. Rev.128, 2425, (1962). In: ‘Theoretical Physics’, Trieste Lectures, 1962 (I.A.E.A., Vienna, 1963), p. 89
Casher, A., Kogut, J., Susskind, L.: Phys. Rev.D10, 732 (1974)
Feynman, R.P.: Photon-Hadron Interactions, New York: Benjamin 1972
Andersson, B., Gustafson, G., Peterson, C.: Phys. Lett.71B, 337 (1977)
Andersson, B., Gustafson, G., Peterson, C.: Phys. Lett.69B, 221 (1977)
Krzywicki, A., Petersson, B.: Phys. Rev.D6, 924 (1972)
Niedermayer, F.: Nucl. Phys.B79, 355 (1974)
Andersson, B., Gustafson, G., Peterson, C.: Nucl. Phys.B135, 273 (1978)
Feynman, R.P., Field, R.D.: Nucl. Phys.B136, 1 (1978)
Gottfried, K., Low, F.E.: CORNELL Preprint (1978)
Callan, C.G., Coote, N., Gross, D.J.: Phys. Rev.D13, 1649 (1976)
Eichten, E., Gottfried, K., Kinoshita, T., Kogut, J., Lane, K.D., Yan, T.-M.: Phys. Rev. Lett.34, 369 (1975)
Van Hove, L.: Nuovo Cim.28, 798 (1963)
Krzywicki, A.: Nuovo Cim.32, 1069 (1964)
Lehmann, H., Pohlmeyer, K.: Commun. Math. Phys.20, 101 (1971)
Odorico, R., Roberto, V.: Nucl. Phys.B136, 333 (1978)
Andersson, B., Gustafson, G., Peterson, C.: LU TP 77-21
Field, R.D., Feynman, R.P.: Phys. Rev.D15, 2590 (1977)
Goddard, P., Goldstone, J., Rebbi, C., Thorn, C.B.: Nucl. Phys.B56, 109 (1972)
Patrascioiu, A.: Nucl. Phys.B81, 525 (1974)
Bardeen, W.A., Bars, I., Hanson, A.J., Peccei, R.D.: Phys. Rev.D13 2364 (1976)
Artru, X., Mennessier, G.: Nucl. Phys.B70, 93 (1974)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01450386