Study of Quark Confinement in Baryons with Lattice QCD.pdfVIP

Study of Quark Confinement in Baryons with Lattice QCD a b c a 4 Hideo Suganuma , Toru T. Takahashi , Fumiko Okiharu and Hiroko Ichie 0 a 0 Faculty of Science, Tokyo Institute of Technology, Ohokayama 2-12-1, Meguro, Tokyo 152-8551, Japan 2 b Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa, Sakyo 606-8502, Japan l u c Department of Physics, Nihon University, 1-8 Kanda-Surugadai, Chiyoda, Tokyo 101, Japan J In SU(3) lattice QCD, we perform the detailed study for the ground-state three-quark (3Q) potential V g.s. 7 3Q and the 1st excited-state 3Q potential V e.s., i.e., the energies of the ground state and the 1st excited state of the 3Q 1 gluon field in the presence of the static three quarks. From the accurate calculation for more than 300 different v patterns of 3Q systems, the static ground-state 3Q potential V g.s. is found to be well described by the Coulomb 3Q 4 plus Y-type linear potential (Y-Ansatz) within 1%-level deviation. As a clear evidence for Y-Ansatz, Y-type flux- 1 tube formation is actually observed on the lattice in maximally-Abelian projected QCD. For about 100 patterns 0 of 3Q systems, we calculate the 1st excited-state 3Q potential V e.s., and find a large gluonic-excitation energy 3Q 7 ∆E3Q ≡ V e.s. − V g.s. of about 1 GeV, which gives a physical reason of the success of the quark model even