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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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