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oai:www.ideals.illinois.edu:2142/80697 2023-07-11 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

U of I Only Vijay R. Pandharipande Paris, Mark Wayne 2015-09-25T20:03:39Z 2015-09-25T20:03:39Z 10000-01-01 2001 2001 Quantum Monte Carlo techniques are applied to quark descriptions of single baryon and nuclear systems using a non-relativistic constituent quark model Hamiltonian. The assumed interaction includes a three-body term arising due to flux-tube confinement, and two-body interactions arising from one-gluon and one-pion exchange. It is strongly dependent on the spin and isospin of the quarks. We solve for single baryon S and P-wave spectra by solving the Schrodinger equation variationally for the ground state of three interacting light-flavored valence quarks. The variational Monte Carlo method is then used to find the ground state of six quarks confined to a cavity of diameter Rc. The variational wave function is written as a product of three-quark nucleon states with correlations between quarks in different nucleons. We study the role of quark exchange effects by allowing flux-tube configuration mixing. An accurate six-body variational wave function is obtained. It has only ~13% rms fluctuation in the total energy and yields a standard deviation of ≤.1%; small enough to be useful in discerning nuclear interaction effects from the large rest mass of the two nucleons. Results are presented for three values of the cavity diameter, R c = 2, 4, and 6 fm. They indicate that the flux-tube model Hamiltonian with gluon and pion exchange requires revisions in order to obtain agreement with the energies estimated from realistic two-nucleon interactions. We calculate the two-quark density, spin, isospin, and color distribution functions and show how they may be used to study and adjust the model Hamiltonian. Made available in DSpace on 2015-09-25T20:03:39Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9996669.pdf: 4754272 bytes, checksum: bd466dfb4d6fe44a31ca1b734c6efa69 (MD5) Previous issue date: 2001 Embargo set by: Seth Robbins for item 81979 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs 118 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001. http://hdl.handle.net/2142/80697 (MiAaPQ)AAI9996669 eng Physics, Nuclear Quantum Monte Carlo Calculations of Three and Six -Quark States text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.