Anisotropic lattice QCD study of pentaquark baryons in spin 3/2 channel

Abstract

We perform the comprehensive analysis of the pentaquark (5Q) in J P = 3/2 ± channel using anisotropic quenched lattice QCD. We employ the standard Wilson gauge action at β = 5.75 and the O(a) improved Wilson (clover) quark action on a 12 3 × 96 lattice with the renormalized anisotropy as a s /a t = 4. A large number of gauge configurations as N conf = 1000 is analyzed, which is found to be essential to achieve a reliable measurement. We study three types of the Rarita-Schwinger intepolationg fields with I = 0: (a) the NK * -type, (b) the (color-)twisted NK * -type, (c) a diquark-type. As a result, we find only massive states as m 5Q ≃ 2.1 − 2.2 GeV in J P = 3/2 − channel, and m 5Q = 2.4 − 2.6 GeV in J P = 3/2 + channel in the chiral limit. The analysis with the hybrid boundary condition (HBC) is performed to distinguish whether these resonances are compact 5Q resonances or two-particle scattering states. No low-lying compact 5Q resonance states are found below 2.1GeV. XXIIIrd International Symposium on Lattice Field Theory

String effects and the distribution of the glue in static mesons at finite temperature

“…7 (prolatespheroid-like shape) for the flux tube. This geometrical form of the density plot manifests itself at temperature T ¼ 0:8T c , which is known to be near the end of the plateau of the QCD-phase diagram [37].…”