{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25840"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25840","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A study of Mac Dowell symmetry, conspiracy, and fermion Regge trajectories","abstract":"\"Non-dynamical constraints on the scattering amplitude are derived and applied to the Regge pole model. In particular, the effects of Mac- Dowell symmetry and the conspiracy constraints are derived for fermion Regge trajectory and residue functions. It is shown that two solutions of the constraints - analogous to the \"\"conspiratorial\"\" and \"\"evasive\"\" solutions for boson Regge poles - exist. The conspiratorial (M = 3/2) solution of the constraints implies that the first derivative of the fermion Regge trajectory with respect to the energy vanishes. Experimental tests for the existence of M = 3/2 trajectories are suggested.\"","abstract_html":""Non-dynamical constraints on the scattering amplitude are derived and applied to the Regge pole model. In particular, the effects of Mac- Dowell symmetry and the conspiracy constraints are derived for fermion Regge trajectory and residue functions. It is shown that two solutions of the constraints - analogous to the ""conspiratorial"" and ""evasive"" solutions for boson Regge poles - exist. The conspiratorial (M = 3/2) solution of the constraints implies that the first derivative of the fermion Regge trajectory with respect to the energy vanishes. Experimental tests for the existence of M = 3/2 trajectories are suggested."","abstract_has_math":false,"creators":["Lang, Joseph Edward"],"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":2011,"date_issued":"2011-07-26T18:42:41Z","date_published":"2011-07-26T18:42:41Z","updated_at":"2026-07-22T22:25:26Z","subjects":["Mac Dowell symmetry","conspiracy","fermion regge trajectories"],"languages":["en"],"rights":["1970 Joseph Edward Lang"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["6053463"],"render_values":[{"text":"6053463","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25840","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":["Lang, Joseph Edward"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-07-26T18:42:41Z","10000-01-01","1970"]},{"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":["Mac Dowell symmetry","conspiracy","fermion regge trajectories"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1970 Joseph Edward Lang"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["6053463","http://hdl.handle.net/2142/25840"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"Non-dynamical constraints on the scattering amplitude are derived and applied to the Regge pole model. In particular, the effects of Mac- Dowell symmetry and the conspiracy constraints are derived for fermion Regge trajectory and residue functions. It is shown that two solutions of the constraints - analogous to the \"\"conspiratorial\"\" and \"\"evasive\"\" solutions for boson Regge poles - exist. The conspiratorial (M = 3/2) solution of the constraints implies that the first derivative of the fermion Regge trajectory with respect to the energy vanishes. Experimental tests for the existence of M = 3/2 trajectories are suggested.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-26T18:42:41Z No. of bitstreams: 1 1970_lang.pdf: 2852133 bytes, checksum: a1cb981fc62a471a64998ef39fb03255 (MD5)","Made available in DSpace on 2011-07-26T18:42:41Z (GMT). No. of bitstreams: 1 1970_lang.pdf: 2852133 bytes, checksum: a1cb981fc62a471a64998ef39fb03255 (MD5) Previous issue date: 1970","Restriction data tranferred 2014-07-01T11:33:21-05:00 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 Carolyn Mead (cmead2@illinois.edu) on 2011-07-26T18:42:41Z Item is restricted indefinitely.","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["A study of Mac Dowell symmetry, conspiracy, and fermion Regge trajectories"]}]}],"canonical_facts":{"dc:contributor":["Stack, John D."],"dc:creator":["Lang, Joseph Edward"],"dc:date":["2011-07-26T18:42:41Z","10000-01-01","1970"],"dc:description":["\"Non-dynamical constraints on the scattering amplitude are derived and applied to the Regge pole model. In particular, the effects of Mac- Dowell symmetry and the conspiracy constraints are derived for fermion Regge trajectory and residue functions. It is shown that two solutions of the constraints - analogous to the \"\"conspiratorial\"\" and \"\"evasive\"\" solutions for boson Regge poles - exist. The conspiratorial (M = 3/2) solution of the constraints implies that the first derivative of the fermion Regge trajectory with respect to the energy vanishes. Experimental tests for the existence of M = 3/2 trajectories are suggested.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-26T18:42:41Z No. of bitstreams: 1 1970_lang.pdf: 2852133 bytes, checksum: a1cb981fc62a471a64998ef39fb03255 (MD5)","Made available in DSpace on 2011-07-26T18:42:41Z (GMT). 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