Abstract
We study the KN interactions in the I(J^{\pi})=0(1/2^-) and 1(1/2^-) channels and associated exotic state \Theta^+ from 2+1 flavor full lattice QCD simulation for relatively heavy quark mass corresponding to m_{\pi}=871 MeV. The s-wave KN potentials are obtained from the Bethe-Salpeter wave function by using the method recently developed by HAL QCD (Hadrons to Atomic nuclei from Lattice QCD) Collaboration. Potentials in both channels reveal short range repulsions: Strength of the repulsion is stronger in the I=1 potential, which is consistent with the prediction of the Tomozawa-Weinberg term. The I=0 potential is found to have attractive well at mid range. From these potentials, the $KN$ scattering phase shifts are calculated and compared with the experimental data.
Highlights
IntroductionLEPS Collaboration and DIANA Collaboration have recently reconf rmed the Θ+(1540) signal with high statistics [4,5]
First evidence of the Θ+(1540) has been reported by the LEPS Collaboration at SPring-8 [1]
In order to compare the strength of the repulsion between the different isospin states, we plot the potentials multiplied by a volume factor (r2V(r)) in Fig. 6 with the energy shifts E = −5.0 MeV for the I = 0 channel and E = 5.0 MeV for the I = 1 channel
Summary
LEPS Collaboration and DIANA Collaboration have recently reconf rmed the Θ+(1540) signal with high statistics [4,5]. They indicate that the production mechanism of the Θ+(1540) might be highly reaction dependent if it exits in nature. QCD studies of the mass and the quantum numbers of the Θ+(1540) have been attempted using lattice QCD simulations and QCD sum rules. Recent QCD sum rule studies [7] with the operator product expansion up to dimension 14 show some candidates of the Θ+(1540) in the I(Jπ) = 0(1/2−), 1(1/2−), 0(3/2+) and 1(3/2+) channels
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