The $J=3/2$ $Θ^*$ partner to the $Θ(1540)$ baryon

Abstract

If the exotic baryon $Θ(1540)$ is $udud\bar{s}$ with $J^P = {1/2}^+$, we predict that there is a \10bar with $J^P = {3/2}^+$ containing a $Θ^*(1540-1680)$. The width $Γ(Θ^* \to KN)$ is at least a factor of three larger than $Γ(Θ)$. The possibilities of $Θ^* \to KNπ$ or $Θγ$ via $M1$ and $E2$ multipoles are discussed.