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Off-shell pion electromagnetic form factors in chiral perturbation theory Rudy, Timothy Edward
Abstract
The electromagnetic form factors of the pion play a role in investigations of various electromagnetic interactions. We calculate the off-shell pion form factors using chiral perturbation theory, which is the effective theory for QCD at low energies. Chiral perturbation theory has previously been used to calculate the on-shell form factors. The formalism is here described, and it is modified to accomodate possible off-shell contributions to Green functions in the pseudoscalar meson sector. We find that in addition to the phenomenological constant 'L₉' associated with the pion charge radius, another phenomenological constant enters the electromagnetic form factor ƒπ⁺. This constant scales a contribution that is linear in (p² - mπ²) for either of the pions at the vertex.
Item Metadata
| Title |
Off-shell pion electromagnetic form factors in chiral perturbation theory
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1993
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| Description |
The electromagnetic form factors of the pion play a role in investigations of various electromagnetic interactions. We calculate the off-shell pion form factors using chiral perturbation theory, which is the effective theory for QCD at low energies. Chiral perturbation theory has previously been used to calculate the on-shell form factors. The formalism is here described, and it is modified to accomodate possible off-shell contributions to Green functions in the pseudoscalar meson sector. We find that in addition to the phenomenological constant 'L₉' associated with the pion charge radius, another phenomenological constant enters the electromagnetic form factor ƒπ⁺. This constant scales a contribution that is linear in (p² - mπ²) for either of the pions at the vertex.
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| Extent |
4692834 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2008-08-20
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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 |
10.14288/1.0085612
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
1993-11
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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.