{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/18841"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/18841","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Green's function Monte Carlo calculations of few nucleon systems","abstract":"Restriction data tranferred 2014-07-01T11:12:08-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","abstract_html":"Restriction data tranferred 2014-07-01T11:12:08-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","abstract_has_math":false,"creators":["Pudliner, Brian Scott"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Pandharipande, V.R."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-04-19T16:09:58Z","date_published":"2011-04-19T16:09:58Z","updated_at":"2026-07-22T22:25:11Z","subjects":["few nucleon systems","Monte Carlo","Green's function Monte Carlo (GFMC)","nuclear ground states"],"languages":["en"],"rights":["1996 Brian Scott Pudliner"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["3955832"],"render_values":[{"text":"3955832","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/18841","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Pandharipande, V.R."]},{"key":"dc:creator","label":"Author","values":["Pudliner, Brian Scott"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-04-19T16:09:58Z","10000-01-01","1996"]},{"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":["few nucleon systems","Monte Carlo","Green's function Monte Carlo (GFMC)","nuclear ground states"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1996 Brian Scott Pudliner"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["3955832","http://hdl.handle.net/2142/18841"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Restriction data tranferred 2014-07-01T11:12:08-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only","\"Recently, a realistic nucleon-nucleon potential has been developed with the goal of accurately reproducing isospin symmetry breaking effects in the nuclear interaction. We briefly discuss the motivation for this potential, called Argonne v18 , as well as the Urbana models of three nucleon interactions. Our approach for modeling the ground states of nuclear systems begins with the development of a variational wave function. We discuss the basis for our variational wave functions and the Monte Carlo techniques used to evaluate expectation values with these wave functions. To determine the exact ground state, Green's function Monte Carlo (GFMC) techniques are used. We review the method of GFMC in general and then discuss its application to the problem of nuclear ground states in some detail. We study a range of nuclear ground states using GFMC. A baseline calculation is done for the 3 H and 4 He ground states to fit the parameters of the three-nucleon potential and to evaluate the 3 H e-3 H mass splitting. A spectrum of six-body states, including the lowest energy J'1l\"\" = o+, 1 +, 2+, and 3+ states of 6 Li and o+ states of 6 He and 6 Be, is then investigated. Isospin symmetry breaking effects are probed by measuring the 6 Be-6 He isovector and H6Be+6He)-6Li isotensor mass splittings. The calculations are then extended to the 7 Li J7r = ~-, ~-, ~-, ~- states, and the isovector mass splitting 7 B e-7 Li is evaluated. To provide constraints on Skyrme-type effective interactions in neutron-rich systems, GFMC calculations for 8 n(J7r = o+) and 7n(J7r = 1/2- and 3/2-) neutron drop clusters are carried out. The spin-orbit splitting of the 7 n drops and the central density of 8n are used to offer improvements to energy-density functionals.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-04-19T16:09:58Z No. of bitstreams: 1 1996_pudliner.pdf: 4181795 bytes, checksum: 6bb753e1a51267716e0b94fe95b55f4f (MD5)","Made available in DSpace on 2011-04-19T16:09:58Z (GMT). No. of bitstreams: 1 1996_pudliner.pdf: 4181795 bytes, checksum: 6bb753e1a51267716e0b94fe95b55f4f (MD5) Previous issue date: 1996","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-04-19T16:09:58Z Item is restricted indefinitely."]},{"key":"dc:title","label":"Title","values":["Green's function Monte Carlo calculations of few nucleon systems"]}]}],"canonical_facts":{"dc:contributor":["Pandharipande, V.R."],"dc:creator":["Pudliner, Brian Scott"],"dc:date":["2011-04-19T16:09:58Z","10000-01-01","1996"],"dc:description":["Restriction data tranferred 2014-07-01T11:12:08-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only","\"Recently, a realistic nucleon-nucleon potential has been developed with the goal of accurately reproducing isospin symmetry breaking effects in the nuclear interaction. We briefly discuss the motivation for this potential, called Argonne v18 , as well as the Urbana models of three nucleon interactions. Our approach for modeling the ground states of nuclear systems begins with the development of a variational wave function. We discuss the basis for our variational wave functions and the Monte Carlo techniques used to evaluate expectation values with these wave functions. To determine the exact ground state, Green's function Monte Carlo (GFMC) techniques are used. We review the method of GFMC in general and then discuss its application to the problem of nuclear ground states in some detail. We study a range of nuclear ground states using GFMC. A baseline calculation is done for the 3 H and 4 He ground states to fit the parameters of the three-nucleon potential and to evaluate the 3 H e-3 H mass splitting. A spectrum of six-body states, including the lowest energy J'1l\"\" = o+, 1 +, 2+, and 3+ states of 6 Li and o+ states of 6 He and 6 Be, is then investigated. Isospin symmetry breaking effects are probed by measuring the 6 Be-6 He isovector and H6Be+6He)-6Li isotensor mass splittings. The calculations are then extended to the 7 Li J7r = ~-, ~-, ~-, ~- states, and the isovector mass splitting 7 B e-7 Li is evaluated. To provide constraints on Skyrme-type effective interactions in neutron-rich systems, GFMC calculations for 8 n(J7r = o+) and 7n(J7r = 1/2- and 3/2-) neutron drop clusters are carried out. The spin-orbit splitting of the 7 n drops and the central density of 8n are used to offer improvements to energy-density functionals.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-04-19T16:09:58Z No. of bitstreams: 1 1996_pudliner.pdf: 4181795 bytes, checksum: 6bb753e1a51267716e0b94fe95b55f4f (MD5)","Made available in DSpace on 2011-04-19T16:09:58Z (GMT). No. of bitstreams: 1 1996_pudliner.pdf: 4181795 bytes, checksum: 6bb753e1a51267716e0b94fe95b55f4f (MD5) Previous issue date: 1996","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-04-19T16:09:58Z Item is restricted indefinitely."],"dc:identifier":["3955832","http://hdl.handle.net/2142/18841"],"dc:language":["en"],"dc:rights":["1996 Brian Scott Pudliner"],"dc:subject":["few nucleon systems","Monte Carlo","Green's function Monte Carlo (GFMC)","nuclear ground states"],"dc:title":["Green's function Monte Carlo calculations of few nucleon systems"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:11Z"}