Comment on phase conventions in helicity formalism

ZHANG Feng; GAO Yuan-Ning; HUO Lei

doi:10.1088/1674-1137/35/5/003

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Chinese Physics C> 2011, Vol. 35> Issue(5) : 426-428 DOI: 10.1088/1674-1137/35/5/003

Comment on phase conventions in helicity formalism

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Using the sequential decay process m e⁺e^- → J/ψ → ΛΛ, Λ → pπ^-, Λ → pπ⁺ 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.

References

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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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沈阳化工大学材料科学与工程学院沈阳 110142

Comment on phase conventions in helicity formalism

Received Date: 2010-07-29
Accepted Date: 2010-11-05
Available Online: 2011-05-05

Abstract: Using the sequential decay process m e⁺e^- → J/ψ → ΛΛ, Λ → pπ^-, Λ → pπ⁺ 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.