Comment on phase conventions in helicity formalism

ZHANG Feng; GAO Yuan-Ning; HUO Lei

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

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

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]	ZHOU Hou-Bing , DONG Guo-Xiang , SUN Xiao-Jun , XU Fu-Rong . Phase transition in odd-N Pd-isotopes. Chinese Physics C, 2015, 39(11): 114103. doi: 10.1088/1674-1137/39/11/114103
[4]	WANG Rui , CHEN Ying , GONG Ming , LIU Chuan , LIU Yu-Bin , LIU Zhao-Feng , MA Jian-Ping , MENG Xiang-Fei , ZHANG Jian-Bo . Phase transition in finite density and temperature lattice QCD. Chinese Physics C, 2015, 39(6): 063103. doi: 10.1088/1674-1137/39/6/063103
[5]	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
[6]	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
[7]	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
[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]	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
[10]	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
[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]	Zhao Yumin , Chen Jinquan . Comment on “Proof of ‘Irreducibility Postulation’ and Its Applications”. Chinese Physics C, 1997, 21(S1): 455-456.
[14]	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.
[15]	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.
[16]	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.
[17]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[18]	Liu Baohua , Li Jiarong . The Mean-Field Analysis for Chiral Symmetry Phase Transition. Chinese Physics C, 1988, 12(S4): 373-378.
[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(1585)
PDF Downloads(490)
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, [email protected]

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.