{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25726"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25726","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Some results of the algebra of currents in weak interactions. Part I: The decays K -> 2pi and K -> 2 pi gamma; Part II: Relation between vector and axial-vector cabibbo angles in broken SU(3) symmetry","abstract":"Part I We study the decays K+ -> pi+pio and Ko -> 2pi using the algebra of currents, We show that the decay K+ -> pi+pio is not due to the violation of the selection rule AI = 1/2 caused by the electromagnetic mass .difference [equation] as has been conjectured by some authors but has to be aqcounted for by the I = 3/2 part of the weak Hamiltonian. We also look for effects of CP violation in differences of the decay rates [equation] and [equation] in the theory of Nishijima and Swank and find no evidence for these differences using different from zero. Part 2 We calculate the renormalization of the weak axial-vector coupling constant in the decay [equation] on the basis of the assumption that the symmetry breaking is unimportant at nigh energies. We use the result to show that the equality between vector and axial-vector Cabibbo angle, which is expected to hold in the limit of exact SU(3) symmetry, is preserved by the symmetry breaking","abstract_html":"Part I We study the decays K+ -> pi+pio and Ko -> 2pi using the algebra of currents, We show that the decay K+ -> pi+pio is not due to the violation of the selection rule AI = 1/2 caused by the electromagnetic mass .difference [equation] as has been conjectured by some authors but has to be aqcounted for by the I = 3/2 part of the weak Hamiltonian. We also look for effects of CP violation in differences of the decay rates [equation] and [equation] in the theory of Nishijima and Swank and find no evidence for these differences using different from zero. Part 2 We calculate the renormalization of the weak axial-vector coupling constant in the decay [equation] on the basis of the assumption that the symmetry breaking is unimportant at nigh energies. We use the result to show that the equality between vector and axial-vector Cabibbo angle, which is expected to hold in the limit of exact SU(3) symmetry, is preserved by the symmetry breaking","abstract_has_math":false,"creators":["Nasrallah, Nasrallah Fares"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Schult, R.L."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-07-08T17:47:06Z","date_published":"2011-07-08T17:47:06Z","updated_at":"2026-07-22T22:25:26Z","subjects":["algebra of currents","weak interactions","meson decay","cabibbo angles","broken SU(3) symmetry"],"languages":["en"],"rights":["1968 Nasrallah Fares Nasrallah"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["6086180"],"render_values":[{"text":"6086180","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25726","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Schult, R.L."]},{"key":"dc:creator","label":"Author","values":["Nasrallah, Nasrallah Fares"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-07-08T17:47:06Z","10000-01-01","1968"]},{"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":["algebra of currents","weak interactions","meson decay","cabibbo angles","broken SU(3) symmetry"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1968 Nasrallah Fares Nasrallah"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["6086180","http://hdl.handle.net/2142/25726"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Part I We study the decays K+ -> pi+pio and Ko -> 2pi using the algebra of currents, We show that the decay K+ -> pi+pio is not due to the violation of the selection rule AI = 1/2 caused by the electromagnetic mass .difference [equation] as has been conjectured by some authors but has to be aqcounted for by the I = 3/2 part of the weak Hamiltonian. We also look for effects of CP violation in differences of the decay rates [equation] and [equation] in the theory of Nishijima and Swank and find no evidence for these differences using different from zero. Part 2 We calculate the renormalization of the weak axial-vector coupling constant in the decay [equation] on the basis of the assumption that the symmetry breaking is unimportant at nigh energies. We use the result to show that the equality between vector and axial-vector Cabibbo angle, which is expected to hold in the limit of exact SU(3) symmetry, is preserved by the symmetry breaking","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T17:47:06Z No. of bitstreams: 1 1968_nasrallah.pdf: 1480359 bytes, checksum: c6ca2afae62e500523695ad64798de4d (MD5)","Made available in DSpace on 2011-07-08T17:47:06Z (GMT). No. of bitstreams: 1 1968_nasrallah.pdf: 1480359 bytes, checksum: c6ca2afae62e500523695ad64798de4d (MD5) Previous issue date: 1968","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T17:47:06Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:51-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Some results of the algebra of currents in weak interactions. Part I: The decays K -> 2pi and K -> 2 pi gamma; Part II: Relation between vector and axial-vector cabibbo angles in broken SU(3) symmetry"]}]}],"canonical_facts":{"dc:contributor":["Schult, R.L."],"dc:creator":["Nasrallah, Nasrallah Fares"],"dc:date":["2011-07-08T17:47:06Z","10000-01-01","1968"],"dc:description":["Part I We study the decays K+ -> pi+pio and Ko -> 2pi using the algebra of currents, We show that the decay K+ -> pi+pio is not due to the violation of the selection rule AI = 1/2 caused by the electromagnetic mass .difference [equation] as has been conjectured by some authors but has to be aqcounted for by the I = 3/2 part of the weak Hamiltonian. We also look for effects of CP violation in differences of the decay rates [equation] and [equation] in the theory of Nishijima and Swank and find no evidence for these differences using different from zero. Part 2 We calculate the renormalization of the weak axial-vector coupling constant in the decay [equation] on the basis of the assumption that the symmetry breaking is unimportant at nigh energies. We use the result to show that the equality between vector and axial-vector Cabibbo angle, which is expected to hold in the limit of exact SU(3) symmetry, is preserved by the symmetry breaking","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T17:47:06Z No. of bitstreams: 1 1968_nasrallah.pdf: 1480359 bytes, checksum: c6ca2afae62e500523695ad64798de4d (MD5)","Made available in DSpace on 2011-07-08T17:47:06Z (GMT). No. of bitstreams: 1 1968_nasrallah.pdf: 1480359 bytes, checksum: c6ca2afae62e500523695ad64798de4d (MD5) Previous issue date: 1968","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-08T17:47:06Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:51-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["6086180","http://hdl.handle.net/2142/25726"],"dc:language":["en"],"dc:rights":["1968 Nasrallah Fares Nasrallah"],"dc:subject":["algebra of currents","weak interactions","meson decay","cabibbo angles","broken SU(3) symmetry"],"dc:title":["Some results of the algebra of currents in weak interactions. Part I: The decays K -> 2pi and K -> 2 pi gamma; Part II: Relation between vector and axial-vector cabibbo angles in broken SU(3) symmetry"],"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"}