Spin observables in the $NN\to YΘ^+$ reaction at the threshold and quantum numbers of the $Θ^+$ pentaquark

Details Spin observables in the $NN\to YΘ^+$ reaction at the threshold and quantum numbers of the $Θ^+$ pentaquark Spin observables in the $NN\to YΘ^+$ reaction at the threshold and quantum numbers of the $Θ^+$ pentaquark

2004-02-20

arxiv.org/abs/hep-ph/0402216v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, Latex

Scientific paper

General formulae for the spin-spin correlation parameters $C_{i,j}$ and spin-transfer coefficients $K_i^j$ are derived for the reaction $N N\to Y \Theta^+$ at the threshold for an arbitrary spin of the pentaquark $\Theta^+$. It is shown that a measurement of the sign of $C_{y,y}$ or an observation of the non-zero polarization transfer from the nucleon to the hyperon $Y$ allow one to determine the P-parity of the $\Theta^+$ unambiguously and independently on the spin of the $\Theta^+$. Measurement of these spin observables in the both $pp$- and $pn$- channels of this reaction determines also the isospin of the $\Theta^+$.

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