Dynamics of Quarks in a 2D Flux Tube

On the basis of a compactification of the (3+1) into (1+1) dimensional space-time [1], the quark states inside the 2D flux tube are studied for the case of a linear transverse confining potential. The derived states are classified by both the projections of the orbital momentum and the spin along t...

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Main Authors: Koshelkin Andrew V., Wong Cheuk-Yin
Format: Article
Language:English
Published: EDP Sciences 2015-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20159001004
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spelling doaj-afee20de0b1e4cc583ca212d946ea1002021-08-02T10:57:41ZengEDP SciencesEPJ Web of Conferences2100-014X2015-01-01900100410.1051/epjconf/20159001004epjconf_ismd2015_01004Dynamics of Quarks in a 2D Flux TubeKoshelkin Andrew V.0Wong Cheuk-Yin1Moscow Institute for Physics and EngineeringPhysics Division, Oak Ridge National Laboratory On the basis of a compactification of the (3+1) into (1+1) dimensional space-time [1], the quark states inside the 2D flux tube are studied for the case of a linear transverse confining potential. The derived states are classified by both the projections of the orbital momentum and the spin along the tube direction. The spectrum of the fermion states is evaluated. It is found that the energy eigenvalues of the quarks appear to be approximately related to the square root of the eigenvalues of the two-dimensional harmonic oscillator. http://dx.doi.org/10.1051/epjconf/20159001004
collection DOAJ
language English
format Article
sources DOAJ
author Koshelkin Andrew V.
Wong Cheuk-Yin
spellingShingle Koshelkin Andrew V.
Wong Cheuk-Yin
Dynamics of Quarks in a 2D Flux Tube
EPJ Web of Conferences
author_facet Koshelkin Andrew V.
Wong Cheuk-Yin
author_sort Koshelkin Andrew V.
title Dynamics of Quarks in a 2D Flux Tube
title_short Dynamics of Quarks in a 2D Flux Tube
title_full Dynamics of Quarks in a 2D Flux Tube
title_fullStr Dynamics of Quarks in a 2D Flux Tube
title_full_unstemmed Dynamics of Quarks in a 2D Flux Tube
title_sort dynamics of quarks in a 2d flux tube
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2015-01-01
description On the basis of a compactification of the (3+1) into (1+1) dimensional space-time [1], the quark states inside the 2D flux tube are studied for the case of a linear transverse confining potential. The derived states are classified by both the projections of the orbital momentum and the spin along the tube direction. The spectrum of the fermion states is evaluated. It is found that the energy eigenvalues of the quarks appear to be approximately related to the square root of the eigenvalues of the two-dimensional harmonic oscillator.
url http://dx.doi.org/10.1051/epjconf/20159001004
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AT wongcheukyin dynamicsofquarksina2dfluxtube
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