An Approach towards a Constituent Quark Model on the Light Cone

Details An Approach towards a Constituent Quark Model on the Light Cone An Approach towards a Constituent Quark Model on the Light Cone

2008-04-22

arxiv.org/abs/0804.3490v3

PoS LC2008:020,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages and 5 figures

Scientific paper

10.1016/j.nuclphysa.2009.01.008

We use the vacuum expectation value of a Wegner-Wilson loop representing a fast moving quark-antiquark pair to derive the light cone Hamiltonian for a $q\bar q$ meson. We solve the corresponding Schr\"odinger equation for various trial wave functions. The result shows how confinement determines the meson mass and wave function for valence quarks on the light cone. We also parametrize the effect of the spin-dependent splitting for a light meson and charmonium. The correct chiral-symmetry breaking pattern for the pion mass is obtained due to the self-energy of the quark.

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