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- W2026345094 abstract "The multiplicity distribution ${ensuremath{sigma}}_{N}(s)$ for the Koba-Nielsen form of the dual-resonance model is computed in the limit of large $N$ and $s$. It is noticed after simplifying approximations that ${ensuremath{sigma}}_{N}(s)$ has the form of the absolute square ${|{ensuremath{Phi}}_{N}|}^{2}$ of the statistical-mechanics partition function of $N$ unit charges free to move on an infinitely thin circular wire. This partition function of a Coulomb gas has been evaluated by Dyson, and gives a closed-form estimate of ${ensuremath{sigma}}_{N}(s)$. Using this estimate, the properties of the multiplicity distribution are obtained. In the language of statistical mechanics, a first-order phase transition is found in the limit of infinitely narrow resonance widths. If the resonances are given finite widths, a second-order phase transition or critical point can occur. In the language of high-energy physics, these possibilities correspond to the second moment ${f}_{2}=〈N(Nensuremath{-}1)〉ensuremath{-}{〈N〉}^{2}$ increasing like ${(mathrm{ln}s)}^{2}$ or like ${(mathrm{ln}s)}^{1+ensuremath{nu}}$, $0lensuremath{nu}l1$, respectively; the multiperipheral model predicts ${f}_{2}ensuremath{sim}mathrm{ln}s$, while two-component models predict ${f}_{2}ensuremath{sim}{(mathrm{ln}s)}^{2}$." @default.
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- W2026345094 date "1973-11-01" @default.
- W2026345094 modified "2023-09-23" @default.
- W2026345094 title "Multiplicity, Gas Analog, Phase Transition, and the Dual Resonance Model" @default.
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- W2026345094 doi "https://doi.org/10.1103/physrevd.8.3137" @default.
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