Marx-Oberländer, Egon (1963) On pion nucleon resonances. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:04232012-142537704
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:||helicity amplitudes, isospin, partial wave expansions, particle physics, Regge poles, pion nucleon resonances|
|Degree Grantor:||California Institute of Technology|
|Division:||Physics, Mathematics and Astronomy|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||1 January 1963|
|Author Email:||egon.marx (AT) nist.gov|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Benjamin Perez|
|Deposited On:||23 Apr 2012 22:41|
|Last Modified:||10 Feb 2014 18:16|
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