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Pandharipande, V.R. Paris, Mark Wayne 2012-06-04T17:32:19Z 2012-06-04T17:32:19Z 10000-01-01 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, Rc = 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. Submitted by Elizabeth Kent (eckent2@illinois.edu) on 2012-06-04T17:32:19Z No. of bitstreams: 1 2001_paris.pdf: 3784705 bytes, checksum: d2f7c4d3221aba47b4246ec4f3210818 (MD5) Made available in DSpace on 2012-06-04T17:32:19Z (GMT). No. of bitstreams: 1 2001_paris.pdf: 3784705 bytes, checksum: d2f7c4d3221aba47b4246ec4f3210818 (MD5) Previous issue date: 2001 Restriction data tranferred 2014-07-01T11:33:27-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: thesis Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Elizabeth Kent (eckent2@illinois.edu) on 2012-06-04T17:32:19Z Item is restricted indefinitely. thesis U of I Only 4377260 http://hdl.handle.net/2142/31328 en ©2001 Mark Wayne Paris quark single baryon flux-tube model Hamiltonian Quantum Monte Carlo Calucations Of Three And Six-Quark States Dissertation / Thesis text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.