{"id":{"repo_id":"adelaide","oai_identifier":"oai:digital.library.adelaide.edu.au:2440/139724"},"canonical_url":"https://search.dev.ndltd.org/etd/adelaide/oai:digital.library.adelaide.edu.au:2440/139724","repository":{"repo_id":"adelaide","name":"University of Adelaide","base_url":"https://digital.library.adelaide.edu.au/server/oai/request"},"display":{"title":"The Structure of Baryon Resonances","abstract":"Hamiltonian Effective Field Theory (HEFT) is a non-perturbative extension of effective field theory which provides a bridge between the infinite-volume scattering data of ex- periment, and finite-volume energy spectra from lattice QCD. By discretising a Hamilto- nian which has been constrained to experimental scattering data, solving the eigenvalue equation for the Hamiltonian provides a finite-volume energy spectrum, which may be compared with lattice QCD eigenstates. In addition, eigenvectors of the Hamiltonian pro- vide insight into the structure of these eigenstates. This matrix Hamiltonian has been made finite by finite-range regularisation, and by considering the range of regularisation parameters which allow the Hamiltonian to describe experimental scattering data, insight is gained into the degree of model-dependence in the infinite-volume and finite-volume quantities. This formalism is extended for the first time to systems with multiple quark- model like baryon states. By considering the effect of a second bare basis state on both the infinite-volume poles, and finite-volume energy spectrum, we gain a unique intuition into the relationship between these two regimes. Finally, we apply the multiple bare-baryon formalism to the odd-parity nucleon sector. We find that the interpretation of the two odd-parity nucleons as three-quark cores dressed by πN , ηN , and KΛ two-particle states is consistent with both the experimental scattering data, and lattice QCD results at three lattice volumes. We also introduce a novel HEFT simulation of lattice QCD correlation functions, allowing for a determination of the two-particle scattering-state contamination in lattice QCD eigenstates.","abstract_html":"Hamiltonian Effective Field Theory (HEFT) is a non-perturbative extension of effective field theory which provides a bridge between the infinite-volume scattering data of ex- periment, and finite-volume energy spectra from lattice QCD. By discretising a Hamilto- nian which has been constrained to experimental scattering data, solving the eigenvalue equation for the Hamiltonian provides a finite-volume energy spectrum, which may be compared with lattice QCD eigenstates. In addition, eigenvectors of the Hamiltonian pro- vide insight into the structure of these eigenstates. This matrix Hamiltonian has been made finite by finite-range regularisation, and by considering the range of regularisation parameters which allow the Hamiltonian to describe experimental scattering data, insight is gained into the degree of model-dependence in the infinite-volume and finite-volume quantities. This formalism is extended for the first time to systems with multiple quark- model like baryon states. By considering the effect of a second bare basis state on both the infinite-volume poles, and finite-volume energy spectrum, we gain a unique intuition into the relationship between these two regimes. Finally, we apply the multiple bare-baryon formalism to the odd-parity nucleon sector. We find that the interpretation of the two odd-parity nucleons as three-quark cores dressed by πN , ηN , and KΛ two-particle states is consistent with both the experimental scattering data, and lattice QCD results at three lattice volumes. We also introduce a novel HEFT simulation of lattice QCD correlation functions, allowing for a determination of the two-particle scattering-state contamination in lattice QCD eigenstates.","abstract_has_math":false,"creators":["Abell, Curtis David"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Leinweber, Derek","Thomas, Anthony"],"committee_chairs":[],"committee_members":[],"year":2023,"date_issued":"2023","date_published":"2023","updated_at":"2026-07-24T00:51:08Z","subjects":["baryon resonances","effective field theory","scattering","finite-volume"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2440/139724","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Leinweber, Derek","Thomas, Anthony"]},{"key":"dc:creator","label":"Author","values":["Abell, Curtis David"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2023"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["baryon resonances","effective field theory","scattering","finite-volume"]}]},{"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.uri","label":"Identifier URI","values":["https://hdl.handle.net/2440/139724"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Hamiltonian Effective Field Theory (HEFT) is a non-perturbative extension of effective field theory which provides a bridge between the infinite-volume scattering data of ex- periment, and finite-volume energy spectra from lattice QCD. By discretising a Hamilto- nian which has been constrained to experimental scattering data, solving the eigenvalue equation for the Hamiltonian provides a finite-volume energy spectrum, which may be compared with lattice QCD eigenstates. In addition, eigenvectors of the Hamiltonian pro- vide insight into the structure of these eigenstates. This matrix Hamiltonian has been made finite by finite-range regularisation, and by considering the range of regularisation parameters which allow the Hamiltonian to describe experimental scattering data, insight is gained into the degree of model-dependence in the infinite-volume and finite-volume quantities. This formalism is extended for the first time to systems with multiple quark- model like baryon states. By considering the effect of a second bare basis state on both the infinite-volume poles, and finite-volume energy spectrum, we gain a unique intuition into the relationship between these two regimes. Finally, we apply the multiple bare-baryon formalism to the odd-parity nucleon sector. We find that the interpretation of the two odd-parity nucleons as three-quark cores dressed by πN , ηN , and KΛ two-particle states is consistent with both the experimental scattering data, and lattice QCD results at three lattice volumes. We also introduce a novel HEFT simulation of lattice QCD correlation functions, allowing for a determination of the two-particle scattering-state contamination in lattice QCD eigenstates."]},{"key":"dc:title","label":"Title","values":["The Structure of Baryon Resonances"]}]}],"canonical_facts":{"dc:contributor.advisor":["Leinweber, Derek","Thomas, Anthony"],"dc:creator":["Abell, Curtis David"],"dc:date.issued":["2023"],"dc:description.abstract":["Hamiltonian Effective Field Theory (HEFT) is a non-perturbative extension of effective field theory which provides a bridge between the infinite-volume scattering data of ex- periment, and finite-volume energy spectra from lattice QCD. By discretising a Hamilto- nian which has been constrained to experimental scattering data, solving the eigenvalue equation for the Hamiltonian provides a finite-volume energy spectrum, which may be compared with lattice QCD eigenstates. In addition, eigenvectors of the Hamiltonian pro- vide insight into the structure of these eigenstates. This matrix Hamiltonian has been made finite by finite-range regularisation, and by considering the range of regularisation parameters which allow the Hamiltonian to describe experimental scattering data, insight is gained into the degree of model-dependence in the infinite-volume and finite-volume quantities. This formalism is extended for the first time to systems with multiple quark- model like baryon states. By considering the effect of a second bare basis state on both the infinite-volume poles, and finite-volume energy spectrum, we gain a unique intuition into the relationship between these two regimes. Finally, we apply the multiple bare-baryon formalism to the odd-parity nucleon sector. We find that the interpretation of the two odd-parity nucleons as three-quark cores dressed by πN , ηN , and KΛ two-particle states is consistent with both the experimental scattering data, and lattice QCD results at three lattice volumes. We also introduce a novel HEFT simulation of lattice QCD correlation functions, allowing for a determination of the two-particle scattering-state contamination in lattice QCD eigenstates."],"dc:identifier.uri":["https://hdl.handle.net/2440/139724"],"dc:language.iso":["en"],"dc:subject":["baryon resonances","effective field theory","scattering","finite-volume"],"dc:title":["The Structure of Baryon Resonances"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T00:51:08Z"}