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The Statistical Bootstrap Model


Hamer, Christopher John (1972) The Statistical Bootstrap Model. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/W6Y3-4E90.


A review is presented of the statistical bootstrap model of Hagedorn and Frautschi. This model is an attempt to apply the methods of statistical mechanics in high-energy physics, while treating all hadron states (stable or unstable) on an equal footing. A statistical calculation of the resonance spectrum on this basis leads to an exponentially rising level density ρ(m) ~ cm-3 eβom at high masses.

In the present work, explicit formulae are given for the asymptotic dependence of the level density on quantum numbers, in various cases. Hamer and Frautschi's model for a realistic hadron spectrum is described.

A statistical model for hadron reactions is then put forward, analogous to the Bohr compound nucleus model in nuclear physics, which makes use of this level density. Some general features of resonance decay are predicted. The model is applied to the process of NN annihilation at rest with overall success, and explains the high final state pion multiplicity, together with the low individual branching ratios into two-body final states, which are characteristic of the process. For more general reactions, the model needs modification to take account of correlation effects. Nevertheless it is capable of explaining the phenomenon of limited transverse momenta, and the exponential decrease in the production frequency of heavy particles with their mass, as shown by Hagedorn. Frautschi's results on "Ericson fluctuations" in hadron physics are outlined briefly. The value of βo required in all these applications is consistently around [120 MeV]-1 corresponding to a "resonance volume" whose radius is very close to ƛπ. The construction of a "multiperipheral cluster model" for high-energy collisions is advocated.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Physics0
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Frautschi, Steven C.
Thesis Committee:
  • Unknown, Unknown
Defense Date:26 May 1972
Funding AgencyGrant Number
Schlumberger FoundationUNSPECIFIED
Record Number:CaltechTHESIS:04112016-091846124
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9668
Deposited On:11 Apr 2016 17:10
Last Modified:01 Jul 2024 17:59

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