Dynamics of Quarks in a 2D Flux Tube
1 Moscow Institute for Physics and Engineering, Kashirskoye shosse., 31, 115409 Moscow, Russia
2 Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA
Published online: 24 March 2015
On the basis of a compactification of the (3+1) into (1+1) dimensional space-time , 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.
© Owned by the authors, published by EDP Sciences, 2015
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