Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data

WU Xing-Gang; HUANG Tao; ZHONG Tao

doi:10.1088/1674-1137/37/6/063105

Chinese Physics C> 2013, Vol. 37> Issue(6) : 063105 DOI: 10.1088/1674-1137/37/6/063105

Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data

Abstract
HTML
Reference
Related

PDF

Abstract：
We perform an analysis of all existing experimental data on the pion-photon transition form factor (TFF). In the calculation, we include the next-to-leading order correction to the valence-quark contribution and estimate the non-valence-quark contribution by a phenomenological model based on the TFF's limiting behavior at both Q²→0 and Q²→∞. At present, the pion distribution amplitude (DA) is not de nitely determined, it is helpful to have a pion DA model that can mimic all the behaviors suggested in the literature. For the purpose, we adopt the conventional model for pion wavefunction/DA whose broadness is dominantly controlled by a single parameter B. We fix the DA parameters by using the CELLO, CLEO, BABAR and Belle data within small Q² region (Q²≤15 GeV²), where all the data are consistent with each other. The pion-photon TFF is then extrapolated into a larger Q² region. It is found that we still need more data at a large Q² region in order to determine the precise value of B, and we hope that the de nite behavior of pion DA can be concluded nally by the consistent data in the coming future.

References

[1]

HUANG T, WU X G. Int. J. Mod. Phys. A, 2007, 22: 3065[2] Musatov I V, Radyushkin A V. Phys. Rev. D, 1997, 56: 2713[3] Behrend H J et al. (CELLO collaboration). Z. Phys. C, 1991, 49: 401[4] Savinov V et al. (CLEO collaboration). arXiv: hepex/9707028[5] Gronberg J et al. (CLEO collaboration). Phys. Rev. D, 1998, 57: 33[6] Aubert B et al. (BABAR collaboration). Phys. Rev. D, 2009, 80: 052002[7] Uehara S et al. (Belle collaboration). arXiv: hepex/1205.3249[8] Lepage G P, Brodsky S J. Phys. Rev. D, 1980, 22: 2157[9] Beringer J et al. (Particle Data Group). Phys. Rev. D, 2012, 86: 010001[10] Chernyak V L, Zhitnitsky A R. Nucl. Phys. B, 1982, 201: 492[11] Arriola E R, Broniowski W. Phys. Rev. D, 2002, 66: 094016[12] Melic B, Nizic B, Passek K. Phys. Rev. D, 2002, 65: 053020[13] Melic B, Muller D, Passek-Kumericki K. Phys. Rev. D, 2003, 68: 014013[14] Brodsky S J, Lepage G P, Mackenzie P B, Phys. Rev. D, 1983, 28: 228[15] Brodsky S J, WU X G. Phys. Rev. D, 2012, 85: 034038[16] Brodsky S J, WU X G. Phys. Rev. D, 2012, 85: 114040[17] Brodsky S J, WU X G. Phys. Rev. D, 2012, 86: 014021[18] Brodsky S J, WU X G. Phys. Rev. Lett., 2012, 109: 042002[19] Brodsky S J, WU X G. Phys. Rev. D, 2012, 86: 054018[20] Brodsky S J, Giustino L D. Phys. Rev. D, 2012, 86: 085026[21] WU X G, HUANG T. Phys. Rev. D, 2010, 82: 034024[22] WU X G, HUANG T. Phys. Rev. D, 2011, 84: 074011[23] Brodsky S J, HUANG T, Lepage G P. Proceedings of the Banff Summer Institute. Banff, Alberta: Plenum, New York, 1983. 143[24] HUANG T. Proceedings of XXth International Conference on High Energy Physics. Madison, Wisconsin: The American Insititue of Physics, New York, 1981. 1000[25] Nandi S, LI H N. Phys. Rev. D, 2007, 76: 034008[26] LI H N, Mishima S. Phys. Rev. D, 2009, 80: 074024[27] HUANG T, MA B Q, SHEN Q X. Phys. Rev. D, 1994, 49: 1490[28] CAO F G, HUANG T. Phys. Rev. D, 1999, 59: 093004[29] HUANG T, WU X G, WU X H. Phys. Rev. D, 2004, 70: 053007[30] HUANG T, WU X G. Phys. Rev. D, 2004, 70: 093013[31] WU X G, HUANG T. Int. J. Mod. Phys. A, 2006, 21: 901[32] Melosh H J. Phys. Rev. D, 1974, 9: 1095[33] Bakulev A P et al. Phys. Rev. D, 2011, 84: 034014[34] Amendolia S R et al. Phys. Lett. B, 1985, 146: 116[35] Amendolia S R et al. Nucl. Phys. B, 1986, 277: 168[36] Huber G M et al. (Jefferson Lab collaboration). Phys. Rev. C, 2008, 78: 045203[37] Lepage G P, Brodsky S J. Phys. Lett. B, 1979, 87: 359[38] Brodsky S J, Teramond G F. Phys. Rev. Lett., 2006, 96: 201601[39] Brodsky S J, Teramond G F. Phys. Rev. D, 2008, 77: 056007[40] Bakulev A P et al. arXiv: hepph/1205.3770[41] Brodsky S J, CAO F G, Teramond G F. Phys. Rev. D, 2011, 84: 033001[42] Brodsky S J, CAO F G, Teramond G F. Phys. Rev. D, 2011, 84: 075012[43] Feldmann T, Kroll P, Stech B. Phys. Rev. D, 1998, 58: 114006[44] CAO J et al. Phys. Rev. D, 1998, 58: 113006[45] HUANG T, WU X G. Eur. Phys. J. C, 2007, 50: 771[46] Noguera S, Scopetta S. Phys. Rev. D, 2012, 85: 054004[47] Dalley S, Sande B. Phys. Rev. D, 2003, 67: 114507[48] Debbio L D, Perro M D, Dougall A. Nucl. Phys. Proc. Suppl., 2003, 119: 416[49] Gockeler M et al. arXiv: heplat/0510089[50] Agaev S S. Phys. Rev. D, 2005, 72: 114010[51] Agaev S S et al. Phys. Rev. D, 2011, 83: 054020[52] HUANG T, WU X G. Phys. Rev. D, 2005, 71: 034018[53] WU X G, HUANG T, FANG Z Y. Phys. Rev. D, 2008, 77: 074001[54] WU X G, HUANG T. Journal of High Energy Physics, 2008, 0804: 043[55] ZHOU M Z, ZHOU H Q. Phys. Rev. D, 2009, 80: 094021

[1]	Jin-Li Zhang , Jun Wu . Pion-photon and kaon-photon transition distribution amplitudes in the Nambu–Jona-Lasinio model. Chinese Physics C, 2024, 48(8): 083106. doi: 10.1088/1674-1137/ad2b54
[2]	Xing-Dao Guo , Xue-Wen Liu , Hong-Wei Ke , Xue-Qian Li . Direct pion emission in D^*+→D⁺π decays. Chinese Physics C, 2016, 40(7): 073103. doi: 10.1088/1674-1137/40/7/073103
[3]	Efaaf M , SU Zhong-Qian , ZHANG Wei-Ning . Two-pion interferometry for viscous hydrodynamic sources. Chinese Physics C, 2012, 36(5): 410-422. doi: 10.1088/1674-1137/36/5/006
[4]	Baldini Ferroli . BABAR measurement of baryon time-like form factors via initial state radiation. Chinese Physics C, 2010, 34(6): 860-862. doi: 10.1088/1674-1137/34/6/040
[5]	Gomez Nicola . Transport coefficients of a massive pion gas. Chinese Physics C, 2010, 34(9): 1453-1455. doi: 10.1088/1674-1137/34/9/069
[6]	E. Tomasi-Gustafsson (on behalf of the PANDA collaboration) . Form factor measurements with PANDA at FAIR. Chinese Physics C, 2010, 34(6): 863-868. doi: 10.1088/1674-1137/34/6/041
[7]	H. Nakazawa . Two-photon processes at Belle. Chinese Physics C, 2010, 34(6): 801-806. doi: 10.1088/1674-1137/34/6/031
[8]	V. P. Druzhinin . Measurements of the γγ^→π⁰ and γγ^→η_c transition form factors at BABAR. Chinese Physics C, 2010, 34(6): 816-821. doi: 10.1088/1674-1137/34/6/033
[9]	SHEN Cheng-Ping , YUAN Chang-Zheng . Combined fit to BABAR and Belle Data on e⁺e^－→φπ⁺π^－ and φf₀(980). Chinese Physics C, 2010, 34(8): 1045-1051. doi: 10.1088/1674-1137/34/8/002
[10]	Stefan E. Müller (KLOE collaboration) . Measurement of the pion form factor for M²_ππ between 0.1 and 0.85 GeV² with the KLOE detector. Chinese Physics C, 2010, 34(6): 686-691. doi: 10.1088/1674-1137/34/6/013
[11]	DONG Yu-Bing . Pion charge form factor and constraints from space-time translations. Chinese Physics C, 2010, 34(9): 1342-1345. doi: 10.1088/1674-1137/34/9/038
[12]	HUANG Fei . Forward pion-nucleon charge exchange reaction and Regge constraints. Chinese Physics C, 2009, 33(12): 1318-1321. doi: 10.1088/1674-1137/33/12/045
[13]	M. Sudol (for \=PANDA collaboration) . Time-like proton form factor measurement with PANDA. Chinese Physics C, 2009, 33(12): 1244-1248. doi: 10.1088/1674-1137/33/12/031
[14]	S.Uehara (for the Belle Collaboration) . Study of ππ production in two-photon collisions at Belle. Chinese Physics C, 2008, 32(6): 499-503. doi: 10.1088/1674-1137/32/6/019
[15]	Huo Lei , Zhang Weining , Wang Shan , Liu Yiming , D. Keane , S. Y. Chu , S. Y. Fung . Absorption Correlation in Pion Interferometry Analyses. Chinese Physics C, 1994, 18(S2): 185-192.
[16]	Huo Lei , Jiang Yuzhen , Wang Shan , Zhang Weining , Liu Yiming , D. Keane , S. Y. Chu , S. Y. Fung . Spatial Parameter from Two-pion Interferometry. Chinese Physics C, 1992, 16(S3): 297-303.
[17]	Zhang Weining , Jiang Yuzhen , Wang Shan , Liu Yiming , D. Keane , J. Jiang , Y. Shao , S. Y. Fung , S. Y. Chu . Multi-Pion Correlations in Two-Pion Interferometry. Chinese Physics C, 1992, 16(S4): 439-448.
[18]	Liu Yiming , Zhang Weining , Wang Shan , Jiang Yuzhen , D. Keane , S. Y. Fung , S. Y. Chu . Two-pion Interferometry for Multi-pion Events in Relativistic Heavy Ion Collisions. Chinese Physics C, 1990, 14(S3): 281-289.
[19]	Chen Kezhong , Jiang Huanqing . Multinucleon Effect in the Pion Single Charge Exchange Reaction. Chinese Physics C, 1988, 12(S1): 37-44.
[20]	Chen Tao , Su Rukeng . The One Pion Exchange Potential at Finite Temperature. Chinese Physics C, 1988, 12(S2): 131-136.

Access

Get Citation

WU Xing-Gang, HUANG Tao and ZHONG Tao. Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data[J]. Chinese Physics C, 2013, 37(6): 063105. doi: 10.1088/1674-1137/37/6/063105

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2012-10-19
Revised: 2013-01-30

Article Metric

Article Views(1870)
PDF Downloads(326)
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

Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data

Corresponding author: WU Xing-Gang,

Corresponding author: HUANG Tao,

Corresponding author: ZHONG Tao,

HTML

目录