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Quantum number conservation in statistical models and its application top \(\bar p\)-annihilatoin at rest

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Zeitschrift für Physik C Particles and Fields

Abstract

We investigate the role of exact quantum number conservation in small statistical systems and illustrate the consequences forp \(\bar p\)-annihililation at rest. A group theoretical projection method is used to calculate a restricted canonical partition function which consists only of states allowed by the conservation laws. Special emphasis is put on the conservation of isospin, total angular momentum, andC-, G-, andP-parities. Our analysis of the partition function shows that it is increasingly dominated by two-particle states as more of the conservation laws are included. The constraining effects on various multiplicity ratios and the deviations from the unconstrained limit are discussed in detail.

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Author notes

  1. Ulrich Heinz

    Present address: Institut für Theoretische Physik, Universität Regensburg, D-93040, Regensburg, Germany

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Regensburg, D-93040, Regensburg, Germany

    Wolfgang Blümel

  2. Institut für Theoretische Physik, Universität Bremen, D-28334, Bremen, Germany

    Peter Koch

  3. Institute for Theoretical Physics, University of California, 93106-4030, Santa Barbara, CA, USA

    Ulrich Heinz

Authors
  1. Wolfgang Blümel
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  2. Peter Koch
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  3. Ulrich Heinz
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Additional information

Supported by DFG

Supported in part by BMFT and DFG

Work supported in part by DFG, BMFT and GSI

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Blümel, W., Koch, P. & Heinz, U. Quantum number conservation in statistical models and its application top \(\bar p\)-annihilatoin at rest. Z. Phys. C - Particles and Fields 63, 637–650 (1994). https://doi.org/10.1007/BF01557630

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  • DOI: https://doi.org/10.1007/BF01557630

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