Use of simple-harmonic forces in the non-relativistic quark model
Faiman, David
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/25791
Description
Title
Use of simple-harmonic forces in the non-relativistic quark model
Author(s)
Faiman, David
Issue Date
1969
Doctoral Committee Chair(s)
Hendry, A.W.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
simple-harmonic forces
non-relativistic quark model
band structure
paraquark harmonic-oscillator shell model
Language
en
Abstract
"Attention is drawn to a possible band structure displayed
by the known N* resonances, The observed spectrum is similar to
that predicted by a paraquark harmonic-oscillator shell model.
""Exact three-body Schroedinger wave functions are used to compute
the N~partial decay widths, assuming the pion emission takes place
via a one-quark de-excitat~on, . The agreement with experiment is
sufficiently good to warrant an investigation of the N* decay
widths of all resonances predicted to havem' up to about 2 GeV,
and such an investigation is performed. The model is then used
to estimate the radiative widths of the observed N* resonances,
In the ""second resonance region"" of pion photoproduction, both
the Sll(1550) and D13(1525) resonances (and possibly the Dll(1470),
depending on what should be taken as its Nn width) are expected to
be important, while in the ""third resonance region"" F15(1690),
Sll (1710) and D13(1990) are expected to have comparable contributions,
The mixing angle between the two Sll resonances is
determined to be about 350. In inelastic electron scattering
ep -> eN*, the S11(155'0) and D13 (1525) resonances are expected to
dominate over the Pll(1470). The neutral Pll(1470) radiative
width is found to be smaller than the charged width, in contrast
to an SU(3) 10 assignment for this resonance. The model is extended
to include the strangeness-zero meson resonances, and the root
mean square pion radius is found to be larger than that of the
nucleon. The principal failures of the model are its inability
to predict the correct shape for the nucleon electromagnetic form
factors, and both the proton magnetic moment and the pion-nucleon
coupling constant are predicted to be 40% larger than the experimental
findings."
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
