1. Spin correlations in polarizations of P-wave charmonia χcJ and impact on J/ψ polarization.
- Author
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Hua-Sheng Shao and Kuang-Ta Chao
- Subjects
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CHARMONIUM , *POLARIZATION (Nuclear physics) , *CHARM particles , *PARTICLE decays , *CP violation - Abstract
Based on a general form of the effective vertex functions for the decays of P-wave charmonia χcJ, angular distribution formulas for the subsequent decays χcJ → J/ψγ and J/ψ → μ+μ− are derived. The formulas are the same as those obtained in a different approach in the literature. Our formulas are expressed in a more general form, including parity violation effects and the full angular dependence of J/ψ and muon in the cascade decay χcJ → J/ψγ → μ+μ−γ. The χcJ polarization observables are expressed in terms of rational functions of the spin density matrix elements of χcJ production. Generalized rotation-invariant relations for arbitrary integer-spin particles are also derived and their expressions in terms of observable angular distribution parameters are given in the χc1 and χc2. To complement our previous direct -J/μ polarization result, we also discuss the impact on the observable prompt-J/ψ polarization. As an illustrative application of our angular distribution formulas, we present the angular distributions in terms of the tree-level spin density matrix elements of χc1 and χc2 production in several different frames at the Large Hadron Collider. Moreover, a reweighting method is also proposed to determine the entire set of the production spin density matrix elements of the χc2, some of which disappear or are suppressed for vanishing higher-order multipole effects making the complete extraction difficult experimentally. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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