Quantum Monte Carlo Calucations Of Three And Six-Quark States

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2012

Author dc:creator

• Paris, Mark Wayne

Contributors dc:contributor

• Pandharipande, V.R.

• quark
• single baryon
• flux-tube model Hamiltonian

Statement dc:rights

• ©2001 Mark Wayne Paris

Language dc:language

en

Identifier

4377260

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/31328