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The dressing transformation and scattering of dressed particles in a model of fermions and bosons James, Howard Nelson
Abstract
This thesis reviews a method in quantum field theory to yield models dealing explicitly with physical particle operators. The method involves a unitary transformation known as a dressing transformation which transforms the original particle creators into dressed physical particle creators. A dressing transformation is applied to a system of fermions and. bosons interacting via a trilinear Hamiltonian similar to the one found in The Cloudy Bag Model. The model is then specialized to describe systems of physical N-particles ('nucleons' without spin and isospin) and physical π-particles ('pions' without isospin). Our model is shown to describe the set of possible interactions involving N and π-particles including π-particle production and annihilation. In considering elastic Nπ scattering, an expression for the T-operator is derived when the incident free particles have a total energy near the energy of a Δ-particle. Equations for a two N-particle bound state, the d-particle ('deuteron') are given and using a set of modified Faddeev equations, we study the reactions occurring within the three channels NN, NN and πd.
Item Metadata
Title |
The dressing transformation and scattering of dressed particles in a model of fermions and bosons
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1982
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Description |
This thesis reviews a method in quantum field theory to yield models dealing explicitly with physical particle operators. The method involves a unitary transformation known as a dressing transformation which transforms the original particle creators into dressed physical particle creators. A dressing transformation is applied to a system of fermions and. bosons interacting via a trilinear Hamiltonian similar to the one found in The Cloudy Bag Model.
The model is then specialized to describe systems of physical N-particles ('nucleons' without spin and isospin) and physical π-particles ('pions' without isospin). Our model is shown to describe the set of possible interactions involving N and π-particles including π-particle production and annihilation. In considering elastic Nπ scattering, an expression for the T-operator is derived when the incident free particles have a total energy near the energy of a Δ-particle. Equations for a two N-particle bound state, the d-particle ('deuteron') are given and using a set of modified Faddeev equations, we study the reactions occurring within the three channels NN, NN and πd.
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Language |
eng
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Date Available |
2010-04-13
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0094994
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Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.