Abstract
A method to extract the polarization of Ω hyperons produced via the strong interaction is presented. Assuming they are spin 3/2 particles, the corresponding spin density matrix can be written in terms of seven non-zero polarization parameters, all retrievable from the angular distribution of the decay products. Moreover by considering the full decay chain Ω → ΛK → pπK the magnitude of the asymmetry parameters βΩ and γΩ can be obtained. This method, applied here to the specific Ω case, can be generalized to any weakly decaying hyperon and is perfectly suited for the PANDA experiment where hyperon-antihyperon pairs will be copiously produced in proton-antiproton collisions. The aim is to take a step forward towards the understanding of the mechanism that reigns strangeness production in these processes.
Highlights
Assuming they are spin 3/2 particles, the corresponding spin density matrix can be written in terms of seven non-zero polarization parameters, all retrievable from the angular distribution of the decay products
The strangeness creation mechanism remains an open question: how are light quarks replaced by heavier ones? Spin observables allow for much deeper insights than just production cross sections
From the angular distribution of the decay products one can extract the polarization of the mother hyperon
Summary
The strangeness creation mechanism remains an open question: how are light quarks replaced by heavier ones? Spin observables allow for much deeper insights than just production cross sections. In the following we will only focus on the pp → ΩΩcase, which involves triple-strangeness baryons and the annihilation of all light quarks in the initial system It will be studied for the first time at the upcoming PANDA experiment. From the angular distribution of the decay products one can extract the polarization of the mother hyperon. The interference between the two gives rise to the angular dependence in the decay distribution This is the concrete meaning of the expression (often found in the literature): the weak decays of hyperons are self-analyzing. Exploiting this property we present a method that allows to extract the polarization of the Ω hyperon.
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