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Statistical Bootstrap Model of Hadrons

Frautschi, Steven (1971) Statistical Bootstrap Model of Hadrons. Physical Review D, 3 (11). pp. 2821-2834. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:FRAprd71

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Abstract

The hadron is considered to be a compound with two or more constituents circulating freely in a box of radius ≈10^-13 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 ρ m∼cm^ae^(bm) with a=-5/2 which satisfied the bootstrap condition asymptotically to within a power of m. We obtain a solution with a<-5/2 which satisfies the bootstrap condition exactly in the high-mass limit. The constituents in the box are distributed with probability P(n)=(ln2)^(n-1)/(n-1)!; 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.


Item Type:Article
Additional Information:©1971 The American Physical Society Received 4 January 1971 The inception of this work owes much to Claude Lovelace, who stressed the relation of statistical and nuclear considerations to the Veneziano model at the Irvine Conference on Regge Poles, December 1969. The author would also like to thank many of his colleagues, especially John Bahcall, Chris Hamer, Chris McKee, and Gary Steigman, for helpful discussions and comments. Work supported in part by the U.S. Atomic Energy Commission. Prepared under Contract No. AT(11-1)-68 for the San Francisco Operations Office, U.S. Atomic Energy Commission.
Record Number:CaltechAUTHORS:FRAprd71
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:FRAprd71
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.3.2821
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6639
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:16 Dec 2006
Last Modified:30 Oct 2013 16:43

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