Study of quark confinement in baryons with lattice QCD
Abstract
In SU(3) lattice QCD, we perform the detailed study for the groundstate threequark (3Q) potential V3Qg.s. and the 1st excitedstate 3Q potential V3Qe.s., i.e., the energies of the ground state and the 1st excited state of the gluon field in the presence of the static three quarks. From the accurate calculation for more than 300 different patterns of 3Q systems, the static groundstate 3Q potential V3Qg.s. is found to be well described by the Coulomb plus Ytype linear potential (YAnsatz) within 1%level deviation. As a clear evidence for YAnsatz, Ytype fluxtube formation is actually observed on the lattice in maximallyAbelian projected QCD. For about 100 patterns of 3Q systems, we calculate the 1st excitedstate 3Q potential V3Qe.s., and find a large gluonicexcitation energy ΔE_{3Q}≡V3Qe.s.V3Qg.s. of about 1 GeV, which gives a physical reason of the success of the quark model even without gluonic excitations. We present also the first study for the pentaquark potential V_{5Q} in lattice QCD, and find that V_{5Q} is well described by the sum of the OGE Coulomb plus multiY type linear potential.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 April 2005
 DOI:
 10.1016/j.nuclphysbps.2004.12.015
 arXiv:
 arXiv:heplat/0407014
 Bibcode:
 2005NuPhS.141...92S
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 Invited talk at International Workshop on QCD Down Under, Adelaide, Australia, 1019 Mar 2004