Ab Initio Nuclear Structure Calculations for Light Nuclei

dc.contributor.advisor James P. Vary
dc.contributor.author Cockrell, Robert
dc.contributor.department Physics and Astronomy
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.copyright Sun Jan 01 00:00:00 UTC 2012
dc.date.embargo 2013-06-05
dc.date.issued 2012-01-01
dc.description.abstract <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>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/etd/12654/
dc.identifier.articleid 3661
dc.identifier.contextkey 4186406
dc.identifier.doi https://doi.org/10.31274/etd-180810-3131
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath etd/12654
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/26843
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/etd/12654/Cockrell_iastate_0097E_12899.pdf|||Fri Jan 14 19:26:52 UTC 2022
dc.subject.disciplines Physics
dc.subject.keywords Ab Initio
dc.subject.keywords Lithium
dc.subject.keywords Nuclear Structure
dc.subject.keywords One Body Density Matrix
dc.title Ab Initio Nuclear Structure Calculations for Light Nuclei
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 4a05cd4d-8749-4cff-96b1-32eca381d930
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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