A possibility to determine the P-parity of the $\Theta^+$ pentaquark in the ${p}{n}\to \Lambda^0\Theta^+$ reaction

Abstract

Spin structure of the reaction ${\vec p}{\vec n}\to {\vec \Lambda^0} {\vec \Theta}$ is analysed at the threshold in a model independent way under assumption that the $\Theta^+$ is an isosinglet. We found that the sign of the spin-spin correlation parameter $C_{x,x}$ being measured in a double-spin experiment, determines the P-parity of the $\Theta^+$ unambiguously. Furthermore we show that the polarization coefficients $K_x^x,K_y^y$ and $K_z^z$ which describe the polarization transfer from polarized beam or target to the final $\Lambda^0$ and $\Theta^+$ are nonzero for a positive parity of the $\Theta^+$ and equal zero for a negative parity. It allows one to determine the P-parity of the $\Theta^+$ in a single-spin measurement, since the polarization of the $\Lambda^0$ can be measured via its decay $\Lambda^0\to \pi^-+ p$.