The foundations of Many-Fermion Dynamics (MFD) are developed with special attention paid to a treatment of color and flavor degrees of freedom. From these ingredients a framework was developed to calculate the properties of many-fermion bound states. The quark implementation of MFD (MFDq) was extensively tested on the 2-body problem against the established nucleon implementation of MFD (MFDn). We were able to perform a limited set of self-consistency checks of MFDq in the 4-body problem to test a proper treatment of all computed matrix elements.;Finally, calculations are presented using MFDn to predict the properties of 4-body charmonium bound states. With MFDn, we did find a lowest bound state of J = 0 at 6.033 GeV with a deviation of .084 GeV. Additional bound states are also obtained. Preliminary calculations with MFDq qualitatively confirm these results.
","abstract_html":"<p>The foundations of Many-Fermion Dynamics (MFD) are developed with special attention paid to a treatment of color and flavor degrees of freedom. From these ingredients a framework was developed to calculate the properties of many-fermion bound states. The quark implementation of MFD (MFDq) was extensively tested on the 2-body problem against the established nucleon implementation of MFD (MFDn). We were able to perform a limited set of self-consistency checks of MFDq in the 4-body problem to test a proper treatment of all computed matrix elements.;Finally, calculations are presented using MFDn to predict the properties of 4-body charmonium bound states. With MFDn, we did find a lowest bound state of J = 0 at 6.033 GeV with a deviation of .084 GeV. Additional bound states are also obtained. Preliminary calculations with MFDq qualitatively confirm these results.</p>","abstract_has_math":false,"creators":["Lloyd, Richard"],"institution":null,"degree_name":"Doctor of Philosophy","degree_level":"dissertation","degree_discipline":null,"degree_department":"Department of Physics and Astronomy","school":null,"contributors":[],"advisors":["James P. Vary"],"committee_chairs":[],"committee_members":[],"year":2003,"date_issued":"2003-01-01","date_published":"2003-01-01","updated_at":"2026-07-24T02:39:53Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.31274/rtd-180813-9869"],"render_values":[{"text":"https://doi.org/10.31274/rtd-180813-9869","href":"https://doi.org/10.31274/rtd-180813-9869","code":true}]},{"key":"dc:identifier","label":"Identifier","values":["archive/lib.dr.iastate.edu/rtd/1446/"],"render_values":[{"text":"archive/lib.dr.iastate.edu/rtd/1446/","href":null,"code":true}]}]},"links":{"outbound_url":"https://dr.lib.iastate.edu/handle/20.500.12876/67988","outbound_label":"Repository record","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["James P. Vary"]},{"key":"dc:contributor.department","label":"Department","values":["Department of Physics and Astronomy"]},{"key":"dc:creator","label":"Author","values":["Lloyd, Richard"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-08-24T22:02:55.000"]},{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2020-06-30T07:36:48Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2020-06-30T07:36:48Z"]},{"key":"dc:date.issued","label":"Date","values":["2003-01-01"]},{"key":"dc:type","label":"Dc Type","values":["dissertation"]},{"key":"thesis:degree_level","label":"Degree Level","values":["dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["archive/lib.dr.iastate.edu/rtd/1446/"]},{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.31274/rtd-180813-9869"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://dr.lib.iastate.edu/handle/20.500.12876/67988"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The foundations of Many-Fermion Dynamics (MFD) are developed with special attention paid to a treatment of color and flavor degrees of freedom. From these ingredients a framework was developed to calculate the properties of many-fermion bound states. The quark implementation of MFD (MFDq) was extensively tested on the 2-body problem against the established nucleon implementation of MFD (MFDn). We were able to perform a limited set of self-consistency checks of MFDq in the 4-body problem to test a proper treatment of all computed matrix elements.;Finally, calculations are presented using MFDn to predict the properties of 4-body charmonium bound states. With MFDn, we did find a lowest bound state of J = 0 at 6.033 GeV with a deviation of .084 GeV. Additional bound states are also obtained. Preliminary calculations with MFDq qualitatively confirm these results.
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