Quark motional effects on the interquark potential in baryons

Details Quark motional effects on the interquark potential in baryons Quark motional effects on the interquark potential in baryons

2007-09-03

arxiv.org/abs/0709.0171v2

Phys.Rev.D77:014036,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 6 figures

Scientific paper

10.1103/PhysRevD.77.014036

We study the heavy-heavy-light quark ($QQq$) system in a non-relativistic potential model, and investigate the quark motional effect on the inter-two-quark potential in baryons. We adopt the Hamiltonian with the static three-quark potential which is obtained by the first-principle calculation of lattice QCD, rather than the two-body force in ordinary quark models. Using the renormalization-group inspired variational method in discretized space, we calculate the ground-state energy of $QQq$ systems and the light-quark spatial distribution. We find that the effective string tension between the two heavy quarks is reduced compared to the static three-quark case. This reduction of the effective string tension originates from the geometrical difference between the inter-quark distance and the flux-tube length, and is conjectured to be a general property for baryons.

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