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Title:  Quantum Monte Carlo Calculations of Three and Six Quark States 
Author(s):  Paris, Mark Wayne 
Doctoral Committee Chair(s):  Vijay R. Pandharipande 
Department / Program:  Physics 
Discipline:  Physics 
Degree Granting Institution:  University of Illinois at UrbanaChampaign 
Degree:  Ph.D. 
Genre:  Dissertation 
Subject(s):  Physics, Nuclear 
Abstract:  Quantum Monte Carlo techniques are applied to quark descriptions of single baryon and nuclear systems using a nonrelativistic constituent quark model Hamiltonian. The assumed interaction includes a threebody term arising due to fluxtube confinement, and twobody interactions arising from onegluon and onepion exchange. It is strongly dependent on the spin and isospin of the quarks. We solve for single baryon S and Pwave spectra by solving the Schrodinger equation variationally for the ground state of three interacting lightflavored 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 threequark nucleon states with correlations between quarks in different nucleons. We study the role of quark exchange effects by allowing fluxtube configuration mixing. An accurate sixbody 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 fluxtube model Hamiltonian with gluon and pion exchange requires revisions in order to obtain agreement with the energies estimated from realistic twonucleon interactions. We calculate the twoquark density, spin, isospin, and color distribution functions and show how they may be used to study and adjust the model Hamiltonian. 
Issue Date:  2001 
Type:  Text 
Language:  English 
Description:  118 p. Thesis (Ph.D.)University of Illinois at UrbanaChampaign, 2001. 
URI:  http://hdl.handle.net/2142/80697 
Other Identifier(s):  (MiAaPQ)AAI9996669 
Date Available in IDEALS:  20150925 
Date Deposited:  2001 
This item appears in the following Collection(s)

Dissertations and Theses  Physics
Dissertations in Physics 
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois