On the determination of the parity of the $Θ^+$

Details On the determination of the parity of the $Θ^+$ On the determination of the parity of the $Θ^+$

2004-07-09

arxiv.org/abs/hep-ph/0407107v1

Phys.Lett. B606 (2005) 67-76

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 6 figures

Scientific paper

10.1016/j.physletb.2004.11.042

We critically examine the possibility of determining the parity of the $\Theta^+(1540)$ from the reactions $NN\to \Theta^+Y$ ($Y$ = $\Lambda$, $\Sigma$) recently discussed in the literature. Specifically, we study the energy dependence of those observables that were suggested to be the most promising ones to unravel the parity of the $\Theta^+$, namely the spin correlation coefficient $A_{xx}$, and the spin transfer coefficient $D_{xx}$. We show that the energy dependence of $\sigma_0(1+A_{xx})$, corresponding to the spin-triplet production cross section, guarantees unambiguous information on the parity of the $\Theta^+$. Here, $\sigma_0$ denotes the unpolarized cross section. Also, the possibility to determine the parity of the $\Theta^+$ through the energy dependence of $\sigma_0D_{xx}$ is discussed.

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