{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23545"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23545","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":"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 $v\\sb{18},$ 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.","abstract_html":"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 $v\\sb{18},$ 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.","abstract_has_math":true,"creators":["Pudliner, Brian Scott"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics, Nuclear","degree_department":null,"school":null,"contributors":["Pandharipande, V.R."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T14:18:10Z","date_published":"2011-05-07T14:18:10Z","updated_at":"2026-07-22T22:25:22Z","subjects":["Physics, Nuclear"],"languages":["eng"],"rights":["Copyright 1996 Pudliner, Brian Scott"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["9780591088281","AAI9702643","(UMI)AAI9702643"],"render_values":[{"text":"9780591088281","href":null,"code":true},{"text":"AAI9702643","href":null,"code":true},{"text":"(UMI)AAI9702643","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23545","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":["2011-05-07T14:18:10Z","10000-01-01","1996"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics, Nuclear"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Nuclear"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1996 Pudliner, Brian Scott"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["9780591088281","AAI9702643","(UMI)AAI9702643","http://hdl.handle.net/2142/23545"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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 $v\\sb{18},$ 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 $\\sp3H$ and $\\sp4He$ ground states to fit the parameters of the three-nucleon potential and to evaluate the $\\sp3He$-$\\sp3H$ mass splitting. A spectrum of six-body states, including the lowest energy $\\rm J\\sp{\\pi}=0\\sp+,\\ 1\\sp+,\\ 2\\sp+,$ and 3$\\sp+$ states of $\\sp6Li$ and 0$\\sp+$ states of $\\sp6He$ and $\\sp6Be,$ is then investigated. Isospin symmetry breaking effects are probed by measuring the $\\sp6Be$-$\\sp6He$ isovector and ${1\\over2}(\\sp6Be+{\\sp6He})$-$\\sp6Li$ isotensor mass splittings. The calculations are then extended to the $\\sp7Li$ $\\rm J\\sp{\\pi}={1\\over2}\\sp-,{3\\over2}\\sp-,{5\\over2}\\sp-,{7\\over2}\\sp-$ states and the isovector mass splitting $\\sp7Be$-$\\sp7Li$ is evaluated. To provide constraints on Skyrme-type effective interactions in neutron-rich systems, GFMC calculations for $\\rm\\sp8n(J\\sp{\\pi}=0\\sp+)$ and $\\rm\\sp7n(J\\sp{\\pi}=1/2\\sp-$ and $3/2\\sp-)$ neutron drop clusters are carried out. The spin-orbit splitting of the $\\sp7$n drops and the central density of $\\sp8$n are used to offer improvements to energy-density functionals.","Made available in DSpace on 2011-05-07T14:18:10Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9702643.pdf: 3980952 bytes, checksum: bbfc35bd3296db6ad31f33e643de4f0b (MD5) Previous issue date: 1996","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:05:12Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:31:13-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"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":["2011-05-07T14:18:10Z","10000-01-01","1996"],"dc:description":["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 $v\\sb{18},$ 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 $\\sp3H$ and $\\sp4He$ ground states to fit the parameters of the three-nucleon potential and to evaluate the $\\sp3He$-$\\sp3H$ mass splitting. A spectrum of six-body states, including the lowest energy $\\rm J\\sp{\\pi}=0\\sp+,\\ 1\\sp+,\\ 2\\sp+,$ and 3$\\sp+$ states of $\\sp6Li$ and 0$\\sp+$ states of $\\sp6He$ and $\\sp6Be,$ is then investigated. Isospin symmetry breaking effects are probed by measuring the $\\sp6Be$-$\\sp6He$ isovector and ${1\\over2}(\\sp6Be+{\\sp6He})$-$\\sp6Li$ isotensor mass splittings. The calculations are then extended to the $\\sp7Li$ $\\rm J\\sp{\\pi}={1\\over2}\\sp-,{3\\over2}\\sp-,{5\\over2}\\sp-,{7\\over2}\\sp-$ states and the isovector mass splitting $\\sp7Be$-$\\sp7Li$ is evaluated. To provide constraints on Skyrme-type effective interactions in neutron-rich systems, GFMC calculations for $\\rm\\sp8n(J\\sp{\\pi}=0\\sp+)$ and $\\rm\\sp7n(J\\sp{\\pi}=1/2\\sp-$ and $3/2\\sp-)$ neutron drop clusters are carried out. The spin-orbit splitting of the $\\sp7$n drops and the central density of $\\sp8$n are used to offer improvements to energy-density functionals.","Made available in DSpace on 2011-05-07T14:18:10Z (GMT). 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