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The complex angular momentum theory of the production of three particles in collisions of two strongly interacting particles at high energy


Luxton, Gary (1970) The complex angular momentum theory of the production of three particles in collisions of two strongly interacting particles at high energy. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RSEM-GC04.


The problem of the continuation to complex values of the angular momentum of the partial wave amplitude is examined for the simplest production process, that of two particles → three particles. The presence of so-called "anomalous singularities" complicates the procedure followed relative to that used for quasi two-body scattering amplitudes. The anomalous singularities are shown to lead to exchange degenerate amplitudes with possible poles in much the same way as "normal" singularities lead to the usual signatured amplitudes. The resulting exchange-degenerate trajectories would also be expected to occur in two-body amplitudes.

The representation of the production amplitude in terms of the singularities of the partial wave amplitude is then developed and applied to the high energy region, with attention being paid to the emergence of "double Regge" terms. Certain new results are obtained for the behavior of the amplitude at zero momentum transfer, and some predictions of polarization and minima in momentum transfer distributions are made. A calculation of the polarization of the ρo meson in the reaction π - p → π - ρop at high energy with small momentum transfer to the proton is compared with data taken at 25 Gev by W. D. Walker and collaborators. The result is favorable, although limited by the statistics of the available data.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
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:23 September 1969
Funding AgencyGrant Number
Bank of MontrealUNSPECIFIED
Woodrow Wilson FoundationUNSPECIFIED
Schlumberger FoundationUNSPECIFIED
Record Number:CaltechTHESIS:08072015-083927734
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9084
Deposited By: Benjamin Perez
Deposited On:07 Aug 2015 18:16
Last Modified:09 Nov 2022 19:20

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