{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25719"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25719","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The relativistic Schrödinger equation and its application to pseudoscalar meson baryon scattering in a broken SU(3) symmetry model","abstract":"The problem of pseudosca1ar meson baryon scattering is discussed within the framework of the relativistic Schrodinger equation and in the four lowest partia1 waves. The driving force (potential) is obtained by ca1culating the allowed single particle exchange processes for which thee~oharged particles have spin less than or equal to l/2. The on shell potential is obtained using Feynman's ru1es with coupling constants assumed to be related by SU(3) , and actual experimental Illasses qre used for; both the exchanged and incom~ng Or outgoing partie les. The potential is thep. e:/ttP~- pq1ate~ qff shell and the coupled system of linear integral equations for the scattering amp1itude is solved numerically, In some of the cases under consideration the potential is SU(3) that a non-Fredho1m system of integral equations is obtained. In these cases a cutoff is introduced to convert them into a Fredholm system which can then be solved numerically. Phase Shifts are then computed and compared with experiment. Other techniques of calculating scattering amplitudes are reviewed and their predictions compared with th0$e obtained by solving the relativistic Schrodinger equation. Some emphasis is placed on the Blankenbecker-Sugar equation and its relation t;:o the relativistic Schrodinger equation, the formal properties of which are also reviewed, The solutions to the relativistic Schrodinger equation and the Blankenbec1er-Sugar equation and their dependence on different ways of extrapolating the potentia1 off shell or introdcing a cutoff are also discus$ed with examples. The mode1 accounts for most of the experimentally known baryon resonances.","abstract_html":"The problem of pseudosca1ar meson baryon scattering is discussed within the framework of the relativistic Schrodinger equation and in the four lowest partia1 waves. The driving force (potential) is obtained by ca1culating the allowed single particle exchange processes for which thee~oharged particles have spin less than or equal to l/2. The on shell potential is obtained using Feynman's ru1es with coupling constants assumed to be related by SU(3) , and actual experimental Illasses qre used for; both the exchanged and incom~ng Or outgoing partie les. The potential is thep. e:/ttP~- pq1ate~ qff shell and the coupled system of linear integral equations for the scattering amp1itude is solved numerically, In some of the cases under consideration the potential is SU(3) that a non-Fredho1m system of integral equations is obtained. In these cases a cutoff is introduced to convert them into a Fredholm system which can then be solved numerically. Phase Shifts are then computed and compared with experiment. Other techniques of calculating scattering amplitudes are reviewed and their predictions compared with th0$e obtained by solving the relativistic Schrodinger equation. Some emphasis is placed on the Blankenbecker-Sugar equation and its relation t;:o the relativistic Schrodinger equation, the formal properties of which are also reviewed, The solutions to the relativistic Schrodinger equation and the Blankenbec1er-Sugar equation and their dependence on different ways of extrapolating the potentia1 off shell or introdcing a cutoff are also discus$ed with examples. The mode1 accounts for most of the experimentally known baryon resonances.","abstract_has_math":true,"creators":["Katz-Masson, Jose"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Wyld, H.W."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-07-08T16:27:35Z","date_published":"2011-07-08T16:27:35Z","updated_at":"2026-07-22T22:25:26Z","subjects":["relativistic Schrodinger equation","pseudoscalar meson baryon scattering","broken symmetry model"],"languages":["en"],"rights":["1967 Jose Katz-Masson"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["2444980"],"render_values":[{"text":"2444980","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25719","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Wyld, H.W."]},{"key":"dc:creator","label":"Author","values":["Katz-Masson, Jose"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-07-08T16:27:35Z","1967"]},{"key":"dc:relation","label":"Dc Relation","values":["http://hdl.handle.net/2142/76592"]},{"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":["relativistic Schrodinger equation","pseudoscalar meson baryon scattering","broken symmetry model"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1967 Jose Katz-Masson"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["2444980","http://hdl.handle.net/2142/25719"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The problem of pseudosca1ar meson baryon scattering is discussed within the framework of the relativistic Schrodinger equation and in the four lowest partia1 waves. The driving force (potential) is obtained by ca1culating the allowed single particle exchange processes for which thee~oharged particles have spin less than or equal to l/2. The on shell potential is obtained using Feynman's ru1es with coupling constants assumed to be related by SU(3) , and actual experimental Illasses qre used for; both the exchanged and incom~ng Or outgoing partie les. The potential is thep. e:/ttP~- pq1ate~ qff shell and the coupled system of linear integral equations for the scattering amp1itude is solved numerically, In some of the cases under consideration the potential is SU(3) that a non-Fredho1m system of integral equations is obtained. In these cases a cutoff is introduced to convert them into a Fredholm system which can then be solved numerically. Phase Shifts are then computed and compared with experiment. Other techniques of calculating scattering amplitudes are reviewed and their predictions compared with th0$e obtained by solving the relativistic Schrodinger equation. Some emphasis is placed on the Blankenbecker-Sugar equation and its relation t;:o the relativistic Schrodinger equation, the formal properties of which are also reviewed, The solutions to the relativistic Schrodinger equation and the Blankenbec1er-Sugar equation and their dependence on different ways of extrapolating the potentia1 off shell or introdcing a cutoff are also discus$ed with examples. The mode1 accounts for most of the experimentally known baryon resonances.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T16:27:35Z No. of bitstreams: 1 1967_katz-masson.pdf: 6727589 bytes, checksum: e687cb2beb74c9a9fd030177e21a1ff7 (MD5)","Made available in DSpace on 2011-07-08T16:27:35Z (GMT). No. of bitstreams: 1 1967_katz-masson.pdf: 6727589 bytes, checksum: e687cb2beb74c9a9fd030177e21a1ff7 (MD5) Previous issue date: 1967","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T16:27:35Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:47-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","After reviewing the document, I've determined that the copyright protections for this work have expired and it is in the public domain due to a failure to comply with formalities. This review was done and the access restrictions lifted by astein@illinois.edu on 2022-01-12","Open Restriction set for Item 25892 on 2022-01-12T20:44:02Z with date null by astein@illinois.edu.","Open"]},{"key":"dc:title","label":"Title","values":["The relativistic Schrödinger equation and its application to pseudoscalar meson baryon scattering in a broken SU(3) symmetry model"]}]}],"canonical_facts":{"dc:contributor":["Wyld, H.W."],"dc:creator":["Katz-Masson, Jose"],"dc:date":["2011-07-08T16:27:35Z","1967"],"dc:description":["The problem of pseudosca1ar meson baryon scattering is discussed within the framework of the relativistic Schrodinger equation and in the four lowest partia1 waves. The driving force (potential) is obtained by ca1culating the allowed single particle exchange processes for which thee~oharged particles have spin less than or equal to l/2. The on shell potential is obtained using Feynman's ru1es with coupling constants assumed to be related by SU(3) , and actual experimental Illasses qre used for; both the exchanged and incom~ng Or outgoing partie les. The potential is thep. e:/ttP~- pq1ate~ qff shell and the coupled system of linear integral equations for the scattering amp1itude is solved numerically, In some of the cases under consideration the potential is SU(3) that a non-Fredho1m system of integral equations is obtained. In these cases a cutoff is introduced to convert them into a Fredholm system which can then be solved numerically. Phase Shifts are then computed and compared with experiment. Other techniques of calculating scattering amplitudes are reviewed and their predictions compared with th0$e obtained by solving the relativistic Schrodinger equation. Some emphasis is placed on the Blankenbecker-Sugar equation and its relation t;:o the relativistic Schrodinger equation, the formal properties of which are also reviewed, The solutions to the relativistic Schrodinger equation and the Blankenbec1er-Sugar equation and their dependence on different ways of extrapolating the potentia1 off shell or introdcing a cutoff are also discus$ed with examples. The mode1 accounts for most of the experimentally known baryon resonances.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T16:27:35Z No. of bitstreams: 1 1967_katz-masson.pdf: 6727589 bytes, checksum: e687cb2beb74c9a9fd030177e21a1ff7 (MD5)","Made available in DSpace on 2011-07-08T16:27:35Z (GMT). No. of bitstreams: 1 1967_katz-masson.pdf: 6727589 bytes, checksum: e687cb2beb74c9a9fd030177e21a1ff7 (MD5) Previous issue date: 1967","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T16:27:35Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:47-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","After reviewing the document, I've determined that the copyright protections for this work have expired and it is in the public domain due to a failure to comply with formalities. This review was done and the access restrictions lifted by astein@illinois.edu on 2022-01-12","Open Restriction set for Item 25892 on 2022-01-12T20:44:02Z with date null by astein@illinois.edu.","Open"],"dc:identifier":["2444980","http://hdl.handle.net/2142/25719"],"dc:language":["en"],"dc:relation":["http://hdl.handle.net/2142/76592"],"dc:rights":["1967 Jose Katz-Masson"],"dc:subject":["relativistic Schrodinger equation","pseudoscalar meson baryon scattering","broken symmetry model"],"dc:title":["The relativistic Schrödinger equation and its application to pseudoscalar meson baryon scattering in a broken SU(3) symmetry model"],"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"}