Lattice study of exotic S=+1 baryon

Abstract

We propose S=+1 baryon interpolating operators, which are based on an exotic description of the antidecuplet baryon like diquark-diqaurk-antiquark. By using one of the new operators, the mass spectrum of the spin-1/2 pentaquark states is calculated in quenched lattice QCD at $\beta=6/g^2=6.2$ on a $32^3\times48$ lattice. It is found that the $J^P$ assignment of the lowest $\Theta(uudd \bar s)$ state is most likely $(1/2)^-$. We also calculate the mass of the charm analog of the $\Theta$ and find that the $\Theta_c(uudd \bar c)$ state lies much higher than the $DN$ threshold, in contrast to several model predictions.