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We derive, in model independent way, the spin structure of the matrix elementfor the reaction of associative $\Theta^+$ pentaquark production,$\pi^{\pm}+D\to \Theta^+ +\Sigma^{\pm}, $ in the threshold region and incollinear kinematics. The expressions for the polarization observables in thisreaction are found assuming spin 1/2 and different parities for $\Theta^+ .$ Wehave proved that such reaction can be used for a model independentdetermination of the P-parity of $\Theta^+$ only by measuring the $\Theta^+$polarization. Other polarization observables, such as the dependence of the$\Sigma^{\pm}$ polarization on the vector and tensor deuteron polarizations,are insensitive to the $\Theta^+$ parity in the considered kinematicalconditions. All linear and quadratic relations between polarization observablesin $\pi^{\pm}+\vec D\to \Theta^+ +\vec\Sigma^{\pm}(\Theta^+ $ is unpolarized)do not depend on the parity of the $\Theta^+$ pentaquark.Comment: 5 pages, 1 figur

Θ+-Pentaquark parity from associative baryon production in πd collisions, π ± + d → Θ+ + Σ±