{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25857"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25857","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Models for meson-deuteron scattering in the resonant region","abstract":"\"The Watson formulation of multiple scattering theory is derived and then employed to build a model for meson-deuteron scattering. The Glauber theory is also derived as an approximate form of multiple scattering theory. The developed model extends the Glauber description to regions in which the mesonnucleon cross section varies rapidly or' resonates, by including effects caused by the nucleons' Fe-rmi momenta, non-forward intermediate scattering, and off-energy shell scattering. It is concluded, after a numerical analysis, that Glauber theory itself could generate the large oscillations in <r-2>d reported in the analysis of 7T+d total cross sections around 1 GeV / c and could introduce small peaks into the deduced 1=0 channel of the k+n cross section. Nevertheless, for the k+d data of Cool et ale conclusions drawn by following the usual folding procedures are not altered significantly by this model. The importance of different possible definitions of center-of-mass energy for off-shell scattering is also examined. It is shown that this choice of \"\"s\"\" does not affect total cross section calculations, but must be considered in the analysis of large angle scattering.\"","abstract_html":"&quot;The Watson formulation of multiple scattering theory is derived and then employed to build a model for meson-deuteron scattering. The Glauber theory is also derived as an approximate form of multiple scattering theory. The developed model extends the Glauber description to regions in which the mesonnucleon cross section varies rapidly or&#x27; resonates, by including effects caused by the nucleons&#x27; Fe-rmi momenta, non-forward intermediate scattering, and off-energy shell scattering. It is concluded, after a numerical analysis, that Glauber theory itself could generate the large oscillations in &lt;r-2&gt;d reported in the analysis of 7T+d total cross sections around 1 GeV / c and could introduce small peaks into the deduced 1=0 channel of the k+n cross section. Nevertheless, for the k+d data of Cool et ale conclusions drawn by following the usual folding procedures are not altered significantly by this model. The importance of different possible definitions of center-of-mass energy for off-shell scattering is also examined. It is shown that this choice of &quot;&quot;s&quot;&quot; does not affect total cross section calculations, but must be considered in the analysis of large angle scattering.&quot;","abstract_has_math":false,"creators":["Landau, Rubin Harold"],"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":"2011-07-27T15:36:05Z","date_published":"2011-07-27T15:36:05Z","updated_at":"2026-07-22T22:25:26Z","subjects":["meson-deuteron scattering","resonant region","Watson formulation","multiple scattering theory"],"languages":["en"],"rights":["1970 Rubin Harold Landau"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["6050575"],"render_values":[{"text":"6050575","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25857","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":["Landau, Rubin Harold"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-07-27T15:36:05Z","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":["meson-deuteron scattering","resonant region","Watson formulation","multiple scattering theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1970 Rubin Harold Landau"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["6050575","http://hdl.handle.net/2142/25857"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"The Watson formulation of multiple scattering theory is derived and then employed to build a model for meson-deuteron scattering. The Glauber theory is also derived as an approximate form of multiple scattering theory. The developed model extends the Glauber description to regions in which the mesonnucleon cross section varies rapidly or' resonates, by including effects caused by the nucleons' Fe-rmi momenta, non-forward intermediate scattering, and off-energy shell scattering. It is concluded, after a numerical analysis, that Glauber theory itself could generate the large oscillations in <r-2>d reported in the analysis of 7T+d total cross sections around 1 GeV / c and could introduce small peaks into the deduced 1=0 channel of the k+n cross section. Nevertheless, for the k+d data of Cool et ale conclusions drawn by following the usual folding procedures are not altered significantly by this model. The importance of different possible definitions of center-of-mass energy for off-shell scattering is also examined. It is shown that this choice of \"\"s\"\" does not affect total cross section calculations, but must be considered in the analysis of large angle scattering.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-27T15:36:05Z No. of bitstreams: 1 1970_landau.pdf: 5057360 bytes, checksum: f46315f5a2a99d969681e58e837ceeba (MD5)","Made available in DSpace on 2011-07-27T15:36:05Z (GMT). No. of bitstreams: 1 1970_landau.pdf: 5057360 bytes, checksum: f46315f5a2a99d969681e58e837ceeba (MD5) Previous issue date: 1970","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-27T15:36:05Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:56-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Models for meson-deuteron scattering in the resonant region"]}]}],"canonical_facts":{"dc:contributor":["Ravenhall, D.G."],"dc:creator":["Landau, Rubin Harold"],"dc:date":["2011-07-27T15:36:05Z","10000-01-01","1970"],"dc:description":["\"The Watson formulation of multiple scattering theory is derived and then employed to build a model for meson-deuteron scattering. The Glauber theory is also derived as an approximate form of multiple scattering theory. The developed model extends the Glauber description to regions in which the mesonnucleon cross section varies rapidly or' resonates, by including effects caused by the nucleons' Fe-rmi momenta, non-forward intermediate scattering, and off-energy shell scattering. It is concluded, after a numerical analysis, that Glauber theory itself could generate the large oscillations in <r-2>d reported in the analysis of 7T+d total cross sections around 1 GeV / c and could introduce small peaks into the deduced 1=0 channel of the k+n cross section. Nevertheless, for the k+d data of Cool et ale conclusions drawn by following the usual folding procedures are not altered significantly by this model. The importance of different possible definitions of center-of-mass energy for off-shell scattering is also examined. It is shown that this choice of \"\"s\"\" does not affect total cross section calculations, but must be considered in the analysis of large angle scattering.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-27T15:36:05Z No. of bitstreams: 1 1970_landau.pdf: 5057360 bytes, checksum: f46315f5a2a99d969681e58e837ceeba (MD5)","Made available in DSpace on 2011-07-27T15:36:05Z (GMT). No. of bitstreams: 1 1970_landau.pdf: 5057360 bytes, checksum: f46315f5a2a99d969681e58e837ceeba (MD5) Previous issue date: 1970","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-27T15:36:05Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:56-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["6050575","http://hdl.handle.net/2142/25857"],"dc:language":["en"],"dc:rights":["1970 Rubin Harold Landau"],"dc:subject":["meson-deuteron scattering","resonant region","Watson formulation","multiple scattering theory"],"dc:title":["Models for meson-deuteron scattering in the resonant region"],"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"}