{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/30726"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/30726","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Resonance contribution to electromagnetic structure functions","abstract":"The part of the pion and proton electromagnetic structure functions due to direct channel resonances in the virtual Compton amplitude is discussed. After a phenomenological discussion, based on the work of Bloom and Gilman, of resonance production in inelastic electroproduction, the single resonance contribution to the pion and proton structure functions is expressed in terms of transition form factors. Froissart-Gribov representations of the Compton amplitude partial waves are presented and are used to specify the spin dependence of the transition form factors. The dependence of the form factors on momentum transfer and resonance mass is assumed on the basis of the behavior of exclusive resonance electroproduction. The single resonance contributions are summed in the Bjorken limit, and the result exhibits Bjorken scaling. Transverse photons are found to dominate in the Bjorken limit, and the threshold behavior of the resonant part of the structure functions is related to the asymptotic behavior of exclusive form factors at large momentum transfer. The resonant parts of the annihilation structure functions are not in general given by simple ,analytic, continuation in the scaling variable WI of the electroproduction structure functions.","abstract_html":"The part of the pion and proton electromagnetic structure functions due to direct channel resonances in the virtual Compton amplitude is discussed. After a phenomenological discussion, based on the work of Bloom and Gilman, of resonance production in inelastic electroproduction, the single resonance contribution to the pion and proton structure functions is expressed in terms of transition form factors. Froissart-Gribov representations of the Compton amplitude partial waves are presented and are used to specify the spin dependence of the transition form factors. The dependence of the form factors on momentum transfer and resonance mass is assumed on the basis of the behavior of exclusive resonance electroproduction. The single resonance contributions are summed in the Bjorken limit, and the result exhibits Bjorken scaling. Transverse photons are found to dominate in the Bjorken limit, and the threshold behavior of the resonant part of the structure functions is related to the asymptotic behavior of exclusive form factors at large momentum transfer. The resonant parts of the annihilation structure functions are not in general given by simple ,analytic, continuation in the scaling variable WI of the electroproduction structure functions.","abstract_has_math":false,"creators":["Bowling, Arthur Lee"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Stack, John D."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-04-22T16:52:56Z","date_published":"2012-04-22T16:52:56Z","updated_at":"2026-07-22T22:25:29Z","subjects":["resonance contribution","electromagnetic structure functions","virtual compton amplitude","transverse photons"],"languages":["en"],"rights":["©1974 Bowling"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["2444978"],"render_values":[{"text":"2444978","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/30726","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stack, John D."]},{"key":"dc:creator","label":"Author","values":["Bowling, Arthur Lee"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-04-22T16:52:56Z","10000-01-01","1974"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["resonance contribution","electromagnetic structure functions","virtual compton amplitude","transverse photons"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["©1974 Bowling"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/30726","2444978"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The part of the pion and proton electromagnetic structure functions due to direct channel resonances in the virtual Compton amplitude is discussed. After a phenomenological discussion, based on the work of Bloom and Gilman, of resonance production in inelastic electroproduction, the single resonance contribution to the pion and proton structure functions is expressed in terms of transition form factors. Froissart-Gribov representations of the Compton amplitude partial waves are presented and are used to specify the spin dependence of the transition form factors. The dependence of the form factors on momentum transfer and resonance mass is assumed on the basis of the behavior of exclusive resonance electroproduction. The single resonance contributions are summed in the Bjorken limit, and the result exhibits Bjorken scaling. Transverse photons are found to dominate in the Bjorken limit, and the threshold behavior of the resonant part of the structure functions is related to the asymptotic behavior of exclusive form factors at large momentum transfer. The resonant parts of the annihilation structure functions are not in general given by simple ,analytic, continuation in the scaling variable WI of the electroproduction structure functions.","Submitted by William Weathers (weathrs2@illinois.edu) on 2012-04-22T16:52:56Z No. of bitstreams: 1 1974_bowling.pdf: 3270689 bytes, checksum: 58193ff5fb842d3766b7ac9c4bdd2aad (MD5)","Made available in DSpace on 2012-04-22T16:52:56Z (GMT). No. of bitstreams: 1 1974_bowling.pdf: 3270689 bytes, checksum: 58193ff5fb842d3766b7ac9c4bdd2aad (MD5) Previous issue date: 1974","Restriction data tranferred 2014-07-01T11:33:24-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Weathers (weathrs2@illinois.edu) on 2012-04-22T16:52:56Z Item is restricted indefinitely.","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Resonance contribution to electromagnetic structure functions"]}]}],"canonical_facts":{"dc:contributor":["Stack, John D."],"dc:creator":["Bowling, Arthur Lee"],"dc:date":["2012-04-22T16:52:56Z","10000-01-01","1974"],"dc:description":["The part of the pion and proton electromagnetic structure functions due to direct channel resonances in the virtual Compton amplitude is discussed. After a phenomenological discussion, based on the work of Bloom and Gilman, of resonance production in inelastic electroproduction, the single resonance contribution to the pion and proton structure functions is expressed in terms of transition form factors. Froissart-Gribov representations of the Compton amplitude partial waves are presented and are used to specify the spin dependence of the transition form factors. The dependence of the form factors on momentum transfer and resonance mass is assumed on the basis of the behavior of exclusive resonance electroproduction. The single resonance contributions are summed in the Bjorken limit, and the result exhibits Bjorken scaling. Transverse photons are found to dominate in the Bjorken limit, and the threshold behavior of the resonant part of the structure functions is related to the asymptotic behavior of exclusive form factors at large momentum transfer. The resonant parts of the annihilation structure functions are not in general given by simple ,analytic, continuation in the scaling variable WI of the electroproduction structure functions.","Submitted by William Weathers (weathrs2@illinois.edu) on 2012-04-22T16:52:56Z No. of bitstreams: 1 1974_bowling.pdf: 3270689 bytes, checksum: 58193ff5fb842d3766b7ac9c4bdd2aad (MD5)","Made available in DSpace on 2012-04-22T16:52:56Z (GMT). No. of bitstreams: 1 1974_bowling.pdf: 3270689 bytes, checksum: 58193ff5fb842d3766b7ac9c4bdd2aad (MD5) Previous issue date: 1974","Restriction data tranferred 2014-07-01T11:33:24-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Weathers (weathrs2@illinois.edu) on 2012-04-22T16:52:56Z Item is restricted indefinitely.","Thesis","U of I Only"],"dc:identifier":["http://hdl.handle.net/2142/30726","2444978"],"dc:language":["en"],"dc:rights":["©1974 Bowling"],"dc:subject":["resonance contribution","electromagnetic structure functions","virtual compton amplitude","transverse photons"],"dc:title":["Resonance contribution to electromagnetic structure functions"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:29Z"}