On the Application of Gluon to Heavy Quarkonium Fragmentation Function

QI Wei; QIAO Cong-Feng; WANG Jian-Xiong

Chinese Physics C> 2007, Vol. 31> Issue(8) : 715-718

On the Application of Gluon to Heavy Quarkonium Fragmentation Function

Graduate University of Chinese Academy of Sciences, Beijing 100049, China2 Institute of High Energy Physics, CAS, Beijing 100049, China

Abstract
HTML
Reference
Related

PDF

Abstract：
We analyze the uncertainties induced by different definitions of the momentum fraction z in the application of gluon to heavy quarkonium fragmentation function. We numerically calculate the initial g→J/ψ fragmentation functions by using the non-covariant definitions of z with finite gluon momentum and find that these fragmentation functions have strong dependence on the gluon momentum k. As |k|→∞, these fragmentation functions approach to the fragmentation function in the light-cone definition. We find that when |k| is small (for instance in the typical energy scale (about 4—20GeV) of the gluon production at the hadron colliders, such as Tevatron and LHC), large uncertainty remains while the in-covariant definitions of z are employed in the application of the fragmentation functions.

References

[1]

. Braaten E, Doncheski M A, Fleming S. Phys. Lett., 1994,B333: 5482. Braaten E, Fleming S, YUAN T C. Ann. Rev. Nucl. Part.Sci., 1996, 46: 1973. Braaten E, YUAN T C. Phys. Rev. Lett., 1993, 71: 16734. WANG J X. Nucl. Instrum. Methods, 2004, A534: 2415. QIAO C F, YUAN F, CHAO K T. Phys. Rev., 1997, D55:5437

[1]	MA Cheng-Cheng , XU Xiao-Ming . qqq→qqq Reaction in Quark-Gluon Matter. Chinese Physics C, 2007, 31(2): 162-167.
[2]	YUAN Chang-Zheng . Hadron Spectroscopy and Charmonium Decays from BES and CLEOc. Chinese Physics C, 2006, 30(6): 488-496.
[3]	ZHOU Li-Juan , MA Wei-Xing . Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations. Chinese Physics C, 2005, 29(8): 757-760.
[4]	ZHU Wei , SHEN Zhen-Qi . Properties of the gluon Recombination Functions. Chinese Physics C, 2005, 29(2): 109-114.
[5]	LIU Xi-Ming , ZHANG Xue-Yao , WANG Hai-Long , WANG Yu-Shui . Mass Dependence of the Particle Multiplicity in Υ Three Gluon Fragmentation. Chinese Physics C, 2002, 26(2): 129-133.
[6]	YAN Zhan-Yuan , DUAN Chun-Gui , HE Zhen-Min . Influence of Color-Octet States to Associate J/ψ+γ Production. Chinese Physics C, 2001, 25(12): 1147-1151.
[7]	MA BoQiang , HUANG XinBing , Jacques Soffer . Flavor Separation of Quark toΛ-Baryon Fragmentation. Chinese Physics C, 2000, 24(3): 196-202.
[8]	Yao Xiaoxia , Zhang Xiaofei , Qiao Congfeng , Zhao Weiqin . Charmonium Production and Absorption in P－A and A－A Collision. Chinese Physics C, 1999, 23(3): 268-280.
[9]	He Zejun . Characteristic Dilepton Distribution for Quark-Gluon Matter. Chinese Physics C, 1997, 21(3): 269-274.
[10]	Dong Yubing . Study of Relativistic Effect on Heavy Quarkonium in a Thermal Environment. Chinese Physics C, 1996, 20(9): 819-821.
[11]	Liu Bo , Dong Yubing . Color Screeing and Dissociation of Heavy Quarkonium. Chinese Physics C, 1996, 20(2): 153-158.
[12]	Liu Bo , Zhao Weiqin . Contribution Due to Gluon Shadowing and Final-State Interactions to Charmonium/Bottonium Suppression in h-A Collisions. Chinese Physics C, 1994, 18(5): 443-447.
[13]	TIAN Li-Li , XIE Qu-Bing . Gluon Fragmentation in Υ Decay. Chinese Physics C, 1993, 17(10): 885-891.
[14]	DONG Yu-Bing , YU You-Wen , WANG Ying-Cai . The Color Screening Effect on Heavy Quarkonia. Chinese Physics C, 1993, 17(5): 472-475.
[15]	LIU Xi-Ming , WU Hua-You . THE FRAGMENTATION OF GLUON OF GLUON IN e⁺e^－ ANNIHILATION. Chinese Physics C, 1990, 14(11): 1001-1006.
[16]	SUN Yao-De , BI Pin-Zhen . THE INFLUENCE OF THE EFFECTIVE MASS OF GLUON ON HEAVY QUARK POTENTIAL. Chinese Physics C, 1989, 13(5): 429-432.
[17]	WU Ji-Min , SHEN Qi-Xing , SONG Xiao-Tong , ZHANG Hong-Xian , DU Jian-Guo . THE QCD PREDICTIONS FOR THE GLUON DISTRIBUTION FUNCTION IN HADRONS. Chinese Physics C, 1989, 13(6): 494-502.
[18]	LIN He-Fen , SONG Xiao-Tong , HE Ju . A NEW POTENTIAL MODEL. Chinese Physics C, 1987, 11(3): 337-346.
[19]	ZHOU Yuan-Hai , JIANG De-Sun , QIAN Wen-Jia , GONG Xue-Hui . THE HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL. Chinese Physics C, 1987, 11(2): 202-207.
[20]	HUANG Ye-Qin , PENG Hong-An . HEAVY QUARKONIUM SYSTEMS CALCULATED FROM MIXED CONFINEMENT POTENTIAL MODEL. Chinese Physics C, 1986, 10(2): 190-197.

Access

Get Citation

QI Wei, QIAO Cong-Feng and WANG Jian-Xiong. On the Application of Gluon to Heavy Quarkonium Fragmentation Function[J]. Chinese Physics C, 2007, 31(8): 715-718.

QI Wei, QIAO Cong-Feng and WANG Jian-Xiong. On the Application of Gluon to Heavy Quarkonium Fragmentation Function[J]. Chinese Physics C, 2007, 31(8): 715-718. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-12-22
Revised: 2007-01-26

Article Metric

Article Views(4741)
PDF Downloads(742)
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

On the Application of Gluon to Heavy Quarkonium Fragmentation Function

Corresponding author: QI Wei,

Graduate University of Chinese Academy of Sciences, Beijing 100049, China2 Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2006-12-22
Accepted Date: 2007-01-26
Available Online: 2007-08-05

Abstract: We analyze the uncertainties induced by different definitions of the momentum fraction z in the application of gluon to heavy quarkonium fragmentation function. We numerically calculate the initial g→J/ψ fragmentation functions by using the non-covariant definitions of z with finite gluon momentum and find that these fragmentation functions have strong dependence on the gluon momentum k. As |k|→∞, these fragmentation functions approach to the fragmentation function in the light-cone definition. We find that when |k| is small (for instance in the typical energy scale (about 4—20GeV) of the gluon production at the hadron colliders, such as Tevatron and LHC), large uncertainty remains while the in-covariant definitions of z are employed in the application of the fragmentation functions.