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On Pion Nucleon Resonances


Marx-Oberländer, Egon (1963) On Pion Nucleon Resonances. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Q819-RH19.


This thesis shows a method for setting up a numerical computation to find resonances in the pion-nucleon system. It takes into account inelastic reactions through a generalized N/D method, and problems introduced by unstable particles are analyzed. General formulae are calculated for the kinematics of reactions involving the πN, ρN, ωN and πN* channels, relating sets of Lorents invariant amplitudes (free of kinematical singularities) to helicity amplitudes in a form that exhibits the reflection symmetry when the total energy W is replaced by - W, and a simple form is found for the partial wave expansions. A detailed discussion of the isospin part of the equations is included.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Physics) ; helicity amplitudes, isospin, partial wave expansions, particle physics, Regge poles, pion nucleon resonances
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Gell-Mann, Murray (advisor)
  • Zachariasen, Fredrik (co-advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1963
Record Number:CaltechTHESIS:04232012-142537704
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6960
Deposited By: Benjamin Perez
Deposited On:23 Apr 2012 22:41
Last Modified:04 Jan 2024 19:26

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