We perform no-core full configuration calculations for the Lithium isotopes, 6 Li, 7 Li, and 8 Li
with the realistic nucleon-nucleon interaction JISP16. We obtain a set of observables, such as
spectra, radii, multipole moments, transition probabilities, etc., and compare with experiment
where available. We obtain underbinding by 0.5 MeV, 0.7 MeV, and 1.0 MeV for 6 Li, 7 Li, 8 Li
respectively. Magnetic moments are well-converged and agree with experiment to within 20%.
We then introduce the One-Body Density Matrix. We present a method to remove the
spurious center-of-mass component from the space-fixed density distribution. We present space-
fixed and translationally-invariant density distributions for various states of 6 Li, 7 Li, and 8 Li.
We also examine select translationally-invariant density distributions from the ground state
and several excited states of 9 Be. The resulting translationally-invariant densities can be used
to examine convergence issues and better represent features of the nuclear shape. Convergence
properties of these density distributions shed light on the convergence properties of experimental
one-body observables.
We then present a method to calculate the space-fixed and translationally-invariant Wigner
Function using our One-Body Density Matrices. We present a novel visualization of these
Wigner Functions.
","abstract_html":"<p>We perform no-core full configuration calculations for the Lithium isotopes, 6 Li, 7 Li, and 8 Li</p> <p>with the realistic nucleon-nucleon interaction JISP16. We obtain a set of observables, such as</p> <p>spectra, radii, multipole moments, transition probabilities, etc., and compare with experiment</p> <p>where available. We obtain underbinding by 0.5 MeV, 0.7 MeV, and 1.0 MeV for 6 Li, 7 Li, 8 Li</p> <p>respectively. Magnetic moments are well-converged and agree with experiment to within 20%.</p> <p>We then introduce the One-Body Density Matrix. We present a method to remove the</p> <p>spurious center-of-mass component from the space-fixed density distribution. We present space-</p> <p>fixed and translationally-invariant density distributions for various states of 6 Li, 7 Li, and 8 Li.</p> <p>We also examine select translationally-invariant density distributions from the ground state</p> <p>and several excited states of 9 Be. The resulting translationally-invariant densities can be used</p> <p>to examine convergence issues and better represent features of the nuclear shape. Convergence</p> <p>properties of these density distributions shed light on the convergence properties of experimental</p> <p>one-body observables.</p> <p>We then present a method to calculate the space-fixed and translationally-invariant Wigner</p> <p>Function using our One-Body Density Matrices. We present a novel visualization of these</p> <p>Wigner Functions.</p>","abstract_has_math":false,"creators":["Cockrell, Robert"],"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":2012,"date_issued":"2012-01-01","date_published":"2012-01-01","updated_at":"2026-07-24T02:37:16Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.31274/etd-180810-3131"],"render_values":[{"text":"https://doi.org/10.31274/etd-180810-3131","href":"https://doi.org/10.31274/etd-180810-3131","code":true}]},{"key":"dc:identifier","label":"Identifier","values":["archive/lib.dr.iastate.edu/etd/12654/"],"render_values":[{"text":"archive/lib.dr.iastate.edu/etd/12654/","href":null,"code":true}]}]},"links":{"outbound_url":"https://dr.lib.iastate.edu/handle/20.500.12876/26843","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":["Cockrell, Robert"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-08-11T09:52:42.000"]},{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2020-06-30T02:44:13Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2020-06-30T02:44:13Z"]},{"key":"dc:date.issued","label":"Date","values":["2012-01-01"]},{"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/etd/12654/"]},{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.31274/etd-180810-3131"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://dr.lib.iastate.edu/handle/20.500.12876/26843"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We perform no-core full configuration calculations for the Lithium isotopes, 6 Li, 7 Li, and 8 Li
with the realistic nucleon-nucleon interaction JISP16. We obtain a set of observables, such as
spectra, radii, multipole moments, transition probabilities, etc., and compare with experiment
where available. We obtain underbinding by 0.5 MeV, 0.7 MeV, and 1.0 MeV for 6 Li, 7 Li, 8 Li
respectively. Magnetic moments are well-converged and agree with experiment to within 20%.
We then introduce the One-Body Density Matrix. We present a method to remove the
spurious center-of-mass component from the space-fixed density distribution. We present space-
fixed and translationally-invariant density distributions for various states of 6 Li, 7 Li, and 8 Li.
We also examine select translationally-invariant density distributions from the ground state
and several excited states of 9 Be. The resulting translationally-invariant densities can be used
to examine convergence issues and better represent features of the nuclear shape. Convergence
properties of these density distributions shed light on the convergence properties of experimental
one-body observables.
We then present a method to calculate the space-fixed and translationally-invariant Wigner
Function using our One-Body Density Matrices. We present a novel visualization of these
Wigner Functions.
"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Ab Initio Nuclear Structure Calculations for Light Nuclei"]}]}],"canonical_facts":{"dc:contributor.advisor":["James P. Vary"],"dc:contributor.department":["Department of Physics and Astronomy"],"dc:creator":["Cockrell, Robert"],"dc:date":["2018-08-11T09:52:42.000"],"dc:date.accessioned":["2020-06-30T02:44:13Z"],"dc:date.available":["2020-06-30T02:44:13Z"],"dc:date.issued":["2012-01-01"],"dc:description.abstract":["We perform no-core full configuration calculations for the Lithium isotopes, 6 Li, 7 Li, and 8 Li
with the realistic nucleon-nucleon interaction JISP16. We obtain a set of observables, such as
spectra, radii, multipole moments, transition probabilities, etc., and compare with experiment
where available. We obtain underbinding by 0.5 MeV, 0.7 MeV, and 1.0 MeV for 6 Li, 7 Li, 8 Li
respectively. Magnetic moments are well-converged and agree with experiment to within 20%.
We then introduce the One-Body Density Matrix. We present a method to remove the
spurious center-of-mass component from the space-fixed density distribution. We present space-
fixed and translationally-invariant density distributions for various states of 6 Li, 7 Li, and 8 Li.
We also examine select translationally-invariant density distributions from the ground state
and several excited states of 9 Be. The resulting translationally-invariant densities can be used
to examine convergence issues and better represent features of the nuclear shape. Convergence
properties of these density distributions shed light on the convergence properties of experimental
one-body observables.
We then present a method to calculate the space-fixed and translationally-invariant Wigner
Function using our One-Body Density Matrices. We present a novel visualization of these
Wigner Functions.
"],"dc:format.mimetype":["application/pdf"],"dc:identifier":["archive/lib.dr.iastate.edu/etd/12654/"],"dc:identifier.doi":["https://doi.org/10.31274/etd-180810-3131"],"dc:identifier.uri":["https://dr.lib.iastate.edu/handle/20.500.12876/26843"],"dc:language.iso":["en"],"dc:title":["Ab Initio Nuclear Structure Calculations for Light Nuclei"],"dc:type":["dissertation"],"thesis:degree_level":["dissertation"],"thesis:degree_name":["Doctor of Philosophy"]},"updated_at":"2026-07-24T02:37:16Z"}