Comment on phase conventions in helicity formalism

ZHANG Feng; GAO Yuan-Ning; HUO Lei

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

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

Abstract
HTML
Reference
Related

PDF

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.

References

[1]

Jacob M, Wick G C. Ann. Phys. 1959, 7: 4042 Jackson J. Resonance decays. In: High Energy Physics, 1965, Les Houches lecture. New York; Gordon and Breach, 1966. 3253 Tixier M H et al. (DM2 Collab.). Phys. Lett. B, 1988, 212: 5234 ZHANG F, GAO Y, HUO L. Phys. Lett. B, 2009, 681: 2375 Rose ME. Elementary Theory of Angular Momentum. New York: John Wiley Sons, Inc., 19576 Dunietz I, Quinn H, Snyder A et al. Phys. Rev. D. 1991, 43: 21937 Leitner O, Ajaltouni Z J, Conte E. Nucl. Phys. A, 2005, 755: 4358 Leitner O, Ajaltouni Z J, Conte E. Phys. Lett. B, 2005, 614: 1659 Nelson C A et al. Physs. Rev. D, 1994, 50: 4544

[1]	Mengzhen Wang , Yi Jiang , Yinrui Liu , Wenbin Qian , Xiao-Rui Lyu , Liming Zhang . A novel method to test particle ordering and final state alignment in helicity formalism. Chinese Physics C, 2021, 45(6): 063103. doi: 10.1088/1674-1137/abf139
[2]	A. Esposito , B. Grinstein , L. Maiani , F. Piccinini , A. Pilloni , A. D. Polosa , V. Riquer . Comment on ‘Note on X(3872) production at hadron collidersand its molecular structure’. Chinese Physics C, 2018, 42(11): 114107. doi: 10.1088/1674-1137/42/11/114107
[3]	Mahesh K , Manoj K . Nuclear structure study of some bubble nuclei in the light mass region using mean field formalism. Chinese Physics C, 2015, 39(6): 064102. doi: 10.1088/1674-1137/39/6/064102
[4]	A. Pilloni , A. D. Polosa . H→γγ: a comment on the indeterminacy of non-gauge-invariant integrals. Chinese Physics C, 2013, 37(4): 043102. doi: 10.1088/1674-1137/37/4/043102
[5]	WANG Fang , LIN Lin , ZHANG He , HAO Jian-Kui , ZHANG Bao-Cheng , LIU Ke-Xin . Amplitude and phase stability studies in a DC superconducting injector. Chinese Physics C, 2011, 35(9): 855-858. doi: 10.1088/1674-1137/35/9/013
[6]	LI Zheng-Hong , XIE Hong-Quan . RF phase jitter in a klystron amplifier. Chinese Physics C, 2011, 35(9): 851-854. doi: 10.1088/1674-1137/35/9/012
[7]	XU Xiao-Mei , FU Yong-Ping , LI Yun-De . η string formation in QCD chiral phase transition. Chinese Physics C, 2010, 34(4): 444-447. doi: 10.1088/1674-1137/34/4/004
[8]	MAO Shi-Jun , HUANG Xu-Guang , ZHUANG Peng-Fei . Viscosities in chiral symmetry breaking phase. Chinese Physics C, 2010, 34(9): 1440-1442. doi: 10.1088/1674-1137/34/9/065
[9]	LI Ang , PENG Guang-Xiong , Lombardo U . Deconfinement phase transition in neutron star matter. Chinese Physics C, 2009, 33(S1): 61-63. doi: 10.1088/1674-1137/33/S1/020
[10]	LIU Rong , WANG Zheng , PAN Wei-Min , WANG Guang-Wei , LIN Hai-Ying , SHA Peng , ZENG Ri-Hua . FPGA-based amplitude and phase detection in DLLRF. Chinese Physics C, 2009, 33(7): 594-598. doi: 10.1088/1674-1137/33/7/017
[11]	LIU Ying-Xin , QIN Shan , WU Jing , LI Xiao-Dong , LI Yan-Chun , LIU Jing . Pressure-induced phase transition of wulfenite. Chinese Physics C, 2009, 33(11): 1023-1027. doi: 10.1088/1674-1137/33/11/019
[12]	Alex Chao . SLIM — a formalism for linear coupled systems. Chinese Physics C, 2009, 33(S2): 115-120. doi: 10.1088/1674-1137/33/S2/030
[13]	WANG Jian-Hua , LI Kang , Dulat Sayipjamal , . Klein-Gordon oscillators in noncommutative phase space. Chinese Physics C, 2008, 32(10): 803-806. doi: 10.1088/1674-1137/32/10/007
[14]	YANG Fang , SHEN Hong . Hadron-quark phase transition in neutron stars. Chinese Physics C, 2008, 32(S2): 77-80.
[15]	Zhao Yumin , Chen Jinquan . Comment on “Proof of ‘Irreducibility Postulation’ and Its Applications”. Chinese Physics C, 1997, 21(S1): 455-456.
[16]	Zhang Jilong , Shen Qixing , Yu Hong . Helicity Formalism of the Angular Distributions for the Process e⁺+e^－→J/ψ→V+X,X→3P. Chinese Physics C, 1994, 18(1): 43-51.
[17]	YU Hong , SHEN Qi-Xing . HELICITY FORMALISM OF THE ANGULAR DISTRIBUTION FOR THE J/ψ HADRONIC DECAY PROCESS. Chinese Physics C, 1990, 14(6): 504-508.
[18]	Yu Hong , Shen Qixin . Helicity Formalism of the Angular Distribution for the J/ψ Hadronic Decay Processes. Chinese Physics C, 1990, 14(S3): 259-263.
[19]	Wu Chongshi , Zeng Jinyan . Nuclear Pairing Phase Transition. Chinese Physics C, 1988, 12(S1): 81-90.
[20]	Chen Wei . Derivation of Chirai Gauge Anomalies in Canonical Formalism. Chinese Physics C, 1988, 12(S3): 297-302.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-07-29
Revised: 2010-11-05

Article Metric

Article Views(3039)
PDF Downloads(492)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.