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Dynamics of Quarks in a 2D Flux Tube...

by Andrey Koshelkin, Cheuk-yin Wong
Publication Type
Conference Paper
Journal Name
EPJ Web of Conferences
Publication Date
Volume
90
Conference Name
XLIV International Symposium on Multiparticle Dynamics (ISMD 2014)
Conference Location
Bologna, Italy
Conference Date
-

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.