Comment on phase conventions in helicity formalism

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ZHANG Feng, GAO Yuan-Ning and HUO Lei. Comment on phase conventions in helicity formalism[J]. Chinese Physics C, 2011, 35(5): 426-428. doi: 10.1088/1674-1137/35/5/003
ZHANG Feng, GAO Yuan-Ning and HUO Lei. Comment on phase conventions in helicity formalism[J]. Chinese Physics C, 2011, 35(5): 426-428.  doi: 10.1088/1674-1137/35/5/003 shu
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Received: 2010-07-29
Revised: 2010-11-05
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Comment on phase conventions in helicity formalism

Abstract: Using the sequential decay process m e+e- → J/ψ → ΛΛ, Λ → pπ-, Λpπ+ as an example, the procedure for deducing the full angular distribution is illustrated by adopting both the Jacob-Wick and Jackson conventions in the helicity formalism. To make sure that the final physical result is free of phase conventions, we point out that the coefficients that relate the angular momentum states in different coordinate systems of reference frames have to be taken into account properly in the procedure. The fact that those coefficients are constants suggests that the Jackson convention is favorable in dealing with the processes with sequential decays.

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