Quantum Monte Carlo Calucations Of Three And Six-Quark States
Paris, Mark Wayne
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https://hdl.handle.net/2142/31328
Description
Title
Quantum Monte Carlo Calucations Of Three And Six-Quark States
Author(s)
Paris, Mark Wayne
Issue Date
2001
Doctoral Committee Chair(s)
Pandharipande, V.R.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
quark
single baryon
flux-tube model Hamiltonian
Language
en
Abstract
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.
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