{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25782"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25782","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Lorentz contraction effects in the electromagnetic form factors of relativistic two-body bound systems","abstract":"Relativistic effects in the electromagnetic form factors of a two-body bound system are discussed by examining specific examples in detail. The wave function for the two-body bound system is calculated from the Bethe-Salpeter equation and inserted into form factor expressions for scalar and vector photons. Even in the Breit frame, the charge density is distorted due to relativistic effects. The resulting form factor is compared to a static form factor which is calculated by not allowing the relativistic distortion in the charge density to occur. At low momentum transfers, relativistic distortion causes the initial slope of the form factor, plotted as a function of q2, to be greater in magnitude than the static case. This gives the system an apparent mean square radius that is larger than the actual mean square radius. At large momentum transfers the relativistic and static form factors appear to have the same functional form but differ in magnitude by a constant factor. The scalar photon form factor was three times greater and the vector photon form factor five times greater than the static form factors for the particular model that was considered.","abstract_html":"Relativistic effects in the electromagnetic form factors of a two-body bound system are discussed by examining specific examples in detail. The wave function for the two-body bound system is calculated from the Bethe-Salpeter equation and inserted into form factor expressions for scalar and vector photons. Even in the Breit frame, the charge density is distorted due to relativistic effects. The resulting form factor is compared to a static form factor which is calculated by not allowing the relativistic distortion in the charge density to occur. At low momentum transfers, relativistic distortion causes the initial slope of the form factor, plotted as a function of q2, to be greater in magnitude than the static case. This gives the system an apparent mean square radius that is larger than the actual mean square radius. At large momentum transfers the relativistic and static form factors appear to have the same functional form but differ in magnitude by a constant factor. The scalar photon form factor was three times greater and the vector photon form factor five times greater than the static form factors for the particular model that was considered.","abstract_has_math":false,"creators":["Mather, Lauren Richard"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Ravenhall, D.G."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-07-12T18:29:23Z","date_published":"2011-07-12T18:29:23Z","updated_at":"2026-07-22T22:25:26Z","subjects":["lorentz contraction","electromagnetic form factors","relativistic two-body bound systems","wave function"],"languages":["en"],"rights":["1969 Lauren Richard Mather"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["6069770"],"render_values":[{"text":"6069770","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25782","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Ravenhall, D.G."]},{"key":"dc:creator","label":"Author","values":["Mather, Lauren Richard"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-07-12T18:29:23Z","10000-01-01","1969"]},{"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":["lorentz contraction","electromagnetic form factors","relativistic two-body bound systems","wave function"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1969 Lauren Richard Mather"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["6069770","http://hdl.handle.net/2142/25782"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Relativistic effects in the electromagnetic form factors of a two-body bound system are discussed by examining specific examples in detail. The wave function for the two-body bound system is calculated from the Bethe-Salpeter equation and inserted into form factor expressions for scalar and vector photons. Even in the Breit frame, the charge density is distorted due to relativistic effects. The resulting form factor is compared to a static form factor which is calculated by not allowing the relativistic distortion in the charge density to occur. At low momentum transfers, relativistic distortion causes the initial slope of the form factor, plotted as a function of q2, to be greater in magnitude than the static case. This gives the system an apparent mean square radius that is larger than the actual mean square radius. At large momentum transfers the relativistic and static form factors appear to have the same functional form but differ in magnitude by a constant factor. The scalar photon form factor was three times greater and the vector photon form factor five times greater than the static form factors for the particular model that was considered.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-12T18:29:23Z No. of bitstreams: 1 1969_mather.pdf: 3519639 bytes, checksum: ab32da7fc9063af0d0489a6bc93a8bf9 (MD5)","Made available in DSpace on 2011-07-12T18:29:23Z (GMT). No. of bitstreams: 1 1969_mather.pdf: 3519639 bytes, checksum: ab32da7fc9063af0d0489a6bc93a8bf9 (MD5) Previous issue date: 1969","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-12T18:29:23Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:54-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Lorentz contraction effects in the electromagnetic form factors of relativistic two-body bound systems"]}]}],"canonical_facts":{"dc:contributor":["Ravenhall, D.G."],"dc:creator":["Mather, Lauren Richard"],"dc:date":["2011-07-12T18:29:23Z","10000-01-01","1969"],"dc:description":["Relativistic effects in the electromagnetic form factors of a two-body bound system are discussed by examining specific examples in detail. The wave function for the two-body bound system is calculated from the Bethe-Salpeter equation and inserted into form factor expressions for scalar and vector photons. Even in the Breit frame, the charge density is distorted due to relativistic effects. The resulting form factor is compared to a static form factor which is calculated by not allowing the relativistic distortion in the charge density to occur. At low momentum transfers, relativistic distortion causes the initial slope of the form factor, plotted as a function of q2, to be greater in magnitude than the static case. This gives the system an apparent mean square radius that is larger than the actual mean square radius. At large momentum transfers the relativistic and static form factors appear to have the same functional form but differ in magnitude by a constant factor. The scalar photon form factor was three times greater and the vector photon form factor five times greater than the static form factors for the particular model that was considered.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-12T18:29:23Z No. of bitstreams: 1 1969_mather.pdf: 3519639 bytes, checksum: ab32da7fc9063af0d0489a6bc93a8bf9 (MD5)","Made available in DSpace on 2011-07-12T18:29:23Z (GMT). No. of bitstreams: 1 1969_mather.pdf: 3519639 bytes, checksum: ab32da7fc9063af0d0489a6bc93a8bf9 (MD5) Previous issue date: 1969","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-12T18:29:23Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:54-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["6069770","http://hdl.handle.net/2142/25782"],"dc:language":["en"],"dc:rights":["1969 Lauren Richard Mather"],"dc:subject":["lorentz contraction","electromagnetic form factors","relativistic two-body bound systems","wave function"],"dc:title":["Lorentz contraction effects in the electromagnetic form factors of relativistic two-body bound systems"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:26Z"}