Quark motional effects on the interquark potential in baryons

Arata Yamamoto and Hideo Suganuma
Phys. Rev. D 77, 014036 – Published 31 January 2008

Abstract

We study the heavy-heavy-light quark (QQq) system in a nonrelativistic 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 interquark distance and the flux-tube length, and is conjectured to be a general property for baryons.

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  • Received 3 September 2007

DOI:https://doi.org/10.1103/PhysRevD.77.014036

©2008 American Physical Society

Authors & Affiliations

Arata Yamamoto and Hideo Suganuma

  • Faculty of Science, Kyoto University, Kitashirakawa, Sakyo, Kyoto 606-8502, Japan

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Issue

Vol. 77, Iss. 1 — 1 January 2008

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