Feynman Diagram Models of Daughter Regge Trajectories

The Van Hove model of Regge poles is used to study daughter trajectories of bosons in scalar meson-scalar meson scattering and of fermions in backward pion-nucleon scattering. Both the simple model with bare propagators and a generalized model that includes propagator self-energy insertions are considered. It is found that, in the simple model, the second boson daughter and the first fermion daughter are fixed (as a function of the squared momentum transfer t or u) double poles in complex J-plane. When self-energy corrections to the propagator are included, the fixed double pole breaks up into a moving daughter trajectory and a moving aunt trajectory. It is found that away from t(u) = O, the daughter and aunt trajectories get mixed up in a complicated and model-dependent manner.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2012

Author dc:creator

• Steele, David Leon

Contributors dc:contributor

• Sullivan, J.D.

• Regge poles, daughter trajectories

Statement dc:rights

• ©1969 David Leon Steele

Language dc:language

en

Identifier

6074831
5651789

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/30664