{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25720"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25720","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Regge pole and K-matrix models for two particle reactions","abstract":"A generalized expression far Reggeized helicity amplitudes is presented. It is found that the kinematic t-singularities of the amplitudes associated with a Regge trajectory for a given reaction are described by a single function whose origin can be easily understood in terms of angular momentum coupling rules. A discussion is given concerning the constraints imposed on the Regge residue functions from the demand that certain physical quantities, such as the cross section, be free of kinematical singularities. Particular consideration is given to the t-channel reaction NN - PV, Solutions for the residue functions are obtained for this reaction for all trajectories with natural parity and for all trajectories with unnatural parity whose G-parity restricts the NN channel spin to be zero. Using these solutions, cross sections and decay correlations for the vector meson are calculated for a comparison to experiment, The K+p reactions near 1 BeV/c are studied using the Kmatrix formalism. It is found that the general features of the experimental data, including the I = 1 peak in the total cross section are reproduced without the assumption of a KN resonance. It is found the agreement with experiment is best for the KN* channel which appears to be responsible for the peak in the total cross section.","abstract_html":"A generalized expression far Reggeized helicity amplitudes is presented. It is found that the kinematic t-singularities of the amplitudes associated with a Regge trajectory for a given reaction are described by a single function whose origin can be easily understood in terms of angular momentum coupling rules. A discussion is given concerning the constraints imposed on the Regge residue functions from the demand that certain physical quantities, such as the cross section, be free of kinematical singularities. Particular consideration is given to the t-channel reaction NN - PV, Solutions for the residue functions are obtained for this reaction for all trajectories with natural parity and for all trajectories with unnatural parity whose G-parity restricts the NN channel spin to be zero. Using these solutions, cross sections and decay correlations for the vector meson are calculated for a comparison to experiment, The K+p reactions near 1 BeV/c are studied using the Kmatrix formalism. It is found that the general features of the experimental data, including the I = 1 peak in the total cross section are reproduced without the assumption of a KN resonance. It is found the agreement with experiment is best for the KN* channel which appears to be responsible for the peak in the total cross section.","abstract_has_math":false,"creators":["Hite, Gerald Eugene"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Jackson, J.D."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-07-08T16:48:42Z","date_published":"2011-07-08T16:48:42Z","updated_at":"2026-07-22T22:25:26Z","subjects":["Regge pole model","K-matrix model","two particle reactions","Reggeized helicity amplitudes"],"languages":["en"],"rights":["1967 Gerald Eugene Hite"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["6087567"],"render_values":[{"text":"6087567","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25720","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Jackson, J.D."]},{"key":"dc:creator","label":"Author","values":["Hite, Gerald Eugene"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-07-08T16:48:42Z","10000-01-01","1967"]},{"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":["Regge pole model","K-matrix model","two particle reactions","Reggeized helicity amplitudes"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1967 Gerald Eugene Hite"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["6087567","http://hdl.handle.net/2142/25720"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["A generalized expression far Reggeized helicity amplitudes is presented. It is found that the kinematic t-singularities of the amplitudes associated with a Regge trajectory for a given reaction are described by a single function whose origin can be easily understood in terms of angular momentum coupling rules. A discussion is given concerning the constraints imposed on the Regge residue functions from the demand that certain physical quantities, such as the cross section, be free of kinematical singularities. Particular consideration is given to the t-channel reaction NN - PV, Solutions for the residue functions are obtained for this reaction for all trajectories with natural parity and for all trajectories with unnatural parity whose G-parity restricts the NN channel spin to be zero. Using these solutions, cross sections and decay correlations for the vector meson are calculated for a comparison to experiment, The K+p reactions near 1 BeV/c are studied using the Kmatrix formalism. It is found that the general features of the experimental data, including the I = 1 peak in the total cross section are reproduced without the assumption of a KN resonance. It is found the agreement with experiment is best for the KN* channel which appears to be responsible for the peak in the total cross section.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T16:48:42Z No. of bitstreams: 1 1967_hite.pdf: 3861842 bytes, checksum: a875b5b397e2c64d0cc40f3f19096fa0 (MD5)","Made available in DSpace on 2011-07-08T16:48:42Z (GMT). No. of bitstreams: 1 1967_hite.pdf: 3861842 bytes, checksum: a875b5b397e2c64d0cc40f3f19096fa0 (MD5) Previous issue date: 1967","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T16:48:42Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:48-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Regge pole and K-matrix models for two particle reactions"]}]}],"canonical_facts":{"dc:contributor":["Jackson, J.D."],"dc:creator":["Hite, Gerald Eugene"],"dc:date":["2011-07-08T16:48:42Z","10000-01-01","1967"],"dc:description":["A generalized expression far Reggeized helicity amplitudes is presented. It is found that the kinematic t-singularities of the amplitudes associated with a Regge trajectory for a given reaction are described by a single function whose origin can be easily understood in terms of angular momentum coupling rules. A discussion is given concerning the constraints imposed on the Regge residue functions from the demand that certain physical quantities, such as the cross section, be free of kinematical singularities. Particular consideration is given to the t-channel reaction NN - PV, Solutions for the residue functions are obtained for this reaction for all trajectories with natural parity and for all trajectories with unnatural parity whose G-parity restricts the NN channel spin to be zero. Using these solutions, cross sections and decay correlations for the vector meson are calculated for a comparison to experiment, The K+p reactions near 1 BeV/c are studied using the Kmatrix formalism. It is found that the general features of the experimental data, including the I = 1 peak in the total cross section are reproduced without the assumption of a KN resonance. It is found the agreement with experiment is best for the KN* channel which appears to be responsible for the peak in the total cross section.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T16:48:42Z No. of bitstreams: 1 1967_hite.pdf: 3861842 bytes, checksum: a875b5b397e2c64d0cc40f3f19096fa0 (MD5)","Made available in DSpace on 2011-07-08T16:48:42Z (GMT). No. of bitstreams: 1 1967_hite.pdf: 3861842 bytes, checksum: a875b5b397e2c64d0cc40f3f19096fa0 (MD5) Previous issue date: 1967","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T16:48:42Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:48-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["6087567","http://hdl.handle.net/2142/25720"],"dc:language":["en"],"dc:rights":["1967 Gerald Eugene Hite"],"dc:subject":["Regge pole model","K-matrix model","two particle reactions","Reggeized helicity amplitudes"],"dc:title":["Regge pole and K-matrix models for two particle reactions"],"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"}