## Abstract

A statistical evaluation of the mass spectrum in the bag model is made using the microcanonical ensemble. The mass spectrum behaves asymptotically as (m)cm-3exp(mT0), where c and T0 depend on the bag constant, on the number of degrees of freedom of massless elementary fields in the bag, and on whether those fields obey Bose-Einstein, Fermi-Dirac, or Maxwell-Boltzmann statistics. Hence this model satisfies the strong bootstrap condition. The case of eight elementary Abelian vector fields is focused on. The thermodynamics of a system of such composite hadrons naively exhibits a maximum temperature T0. However, due to the finite size of hadrons, many-body effects cause the mass spectrum to have a density-dependent cutoff. A first-order phase transition to a gas of free elementary fields is found at a temperature Tc=1.05 T0.

Original language | English (US) |
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Pages (from-to) | 2444-2453 |

Number of pages | 10 |

Journal | Physical Review D |

Volume | 23 |

Issue number | 10 |

DOIs | |

State | Published - 1981 |