Statistical Bootstrap Model of Hadrons

Steven Frautschi
Phys. Rev. D 3, 2821 – Published 1 June 1971
PDFExport Citation

Abstract

The hadron is considered to be a compound with two or more constituents circulating freely in a box of radius 1013 cm. The density of hadron levels, ρ(m), is estimated from the number of states in the box (statistical condition) and is also required to be consistent with the spectrum of constituents, which are assumed to be the hadrons themselves (bootstrap condition). This type of model was first considered by Hagedorn, who obtained a solution of form ρmcmaebm with a=52 which satisfied the bootstrap condition asymptotically to within a power of m. We obtain a solution with a<52 which satisfies the bootstrap condition exactly in the high-mass limit. The constituents in the box are distributed with probability P(n)=(ln2)n1(n1)!; i.e., an average high-mass resonance decays (in the first generation of its decay chain) to two hadrons (69% probability) or three (24% probability). We also review briefly the thermodynamic applications of this model to high-energy scattering and astrophysics.

  • Received 4 January 1971

DOI:https://doi.org/10.1103/PhysRevD.3.2821

©1971 American Physical Society

Authors & Affiliations

Steven Frautschi

  • California Institute of Technology, Pasadena, California 91109

References (Subscription Required)

Click to Expand
Issue

Vol. 3, Iss. 11 — 1 June 1971

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×