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The $\vec{p}p \rightarrow pK^{+}\Lambda$ reaction has been measured with theCOSY-TOF detector at a beam momentum of $2.7\,\mathrm{GeV}/c$. The polarizedproton beam enables the measurement of the beam analyzing power by theasymmetry of the produced kaon ($A_N^{K}$). This observable allows the$p\Lambda$ spin triplet scattering length to be extracted for the first timemodel independently from the final-state interaction in the reaction. Theobtained value is $a_{t} = (-2.55 ^{+0.72}_{-1.39} {}_{\textrm{stat.}} \pm0.6_{\textrm{syst.}} \pm 0.3_{\textrm{theo.}})\mathrm{fm}$. This value iscompatible with theoretical predictions and results from model-dependentanalyses.

physical review. c

First Model-Independent Measurement of the Spin Triplet $p\Lambda$  Scattering Length from Final State Interaction in the $\vec{p}p \rightarrow  pK^{+}\Lambda$ Reaction