The $J=3/2$ ${\Theta }^{\ast }$ partner to the $\Theta (1540)$ baryon

Abstract

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

Version accepted by PLB, minor corrections emphasising difference with respect to Chiral Soliton Models