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Faddeev approach to semi-relativistic quark confinement

Author: Joseph Eugene McEwen
Publisher: [Long Beach, California] : California State University, Long Beach, 2010.
Dissertation: M.S. California State University, Long Beach 2010
Series: California State University, Long Beach.; Master's thesis collection, Dept. of Physics and Astronomy.
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation   Computer File : English
Summary:
Abstract: A method based on the Faddeev approach to three-body problems in quantum mechanics is presented, for solving the problem of three quarks confined in a linear potential. The Faddeev integral equations are used to calculate the energies for light baryons. The baryons are described by a Hamiltonian composed of a relativistic kinetic energy, a long range linear potential, and a short range chiral potential.  Read more...
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Details

Genre/Form: Academic theses
Named Person: L D Faddeev; L D Faddeev
Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: Joseph Eugene McEwen
ISBN: 9781124247588 1124247580
OCLC Number: 1029565487
Description: vi, 51 leaves : illustrations, charts (some color)
Series Title: California State University, Long Beach.; Master's thesis collection, Dept. of Physics and Astronomy.
Responsibility: by Joseph Eugene McEwen.

Abstract:

Abstract: A method based on the Faddeev approach to three-body problems in quantum mechanics is presented, for solving the problem of three quarks confined in a linear potential. The Faddeev integral equations are used to calculate the energies for light baryons. The baryons are described by a Hamiltonian composed of a relativistic kinetic energy, a long range linear potential, and a short range chiral potential. The Faddeev approach is advantageous in that it allows for asymptotic conditions to be imposed on the integral equations and exploits the symmetries of identical particles. This approach is also advantageous in that the numerical calculations can be done efficiently on a personal computer. Results are presented for light baryons and compared to other popular methods.

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