Finite Size Vertex Correction to the Strong Decay of ηc and χc States and a Determination of αs(mc)

PING Rong-Gang; JIANG Huan-Qing; ZOU Bing-Song

Chinese Physics C> 2002, Vol. 26> Issue(6) : 563-568

Finite Size Vertex Correction to the Strong Decay of η_c and χ_c States and a Determination of α_s(m_c)

Institute of Hight Energy Physics,The Chinese Academy of Sciences,Beijing 100039,China2 Institute of Theoretical Physics,The Chinese Academy of Sciences,Beijing 100080,China3 Nuclear Theory Center,Chinese National Lab. of Heavy Ion Accelarator,Lanzhou 730000,China

Abstract
HTML
Reference
Related

PDF

Abstract：
In previous calculations of the strong decay of a charmonium,the first-order momentum dependence of the quark propagator is kept. It was found that the finite-size vertex correction to the Γ(J/ψ→3g) process is large. In this paper we calculate the two-gluon decay widths of η_c,χ_c0 and χ_c2 by including the full momentum dependence of the quark propagator. Comparing to the zero-order calculation we find that the finite-size vertex correction factor to the two-gluon decay widths of η_c is 1.32,and for the two gluon decays of χ_c0 and χ_c2,the vertex correction factors are 1.45 and 1.26, respectively. With the corrected decay widths Γ(η_c→2g) we extract the value as α_s(m_c)=0.28±0.05 which agrees with that calculated from the Γ(J/ψ→3g) process with the same correction. The finite-size vertex correction to the process Γ(η_c→3g) is not as large as that to the process Γ(J/ψ→3g).

References

[1]

. Kwong Waikwok, Rosner Jonathan L, Quigg Cluris. Ann. Rev. Nuc. and Par. Sci.,1987,37:325—382 2. Hitlin Dvid G, Toki Walter H. Ann. Rev. Nuc. and Par. Sci.,1988,38:497—532 3. Buchmuler W, Tye S H H. Phys. Rev.,1981,D24:132—156 4. AppelquistT, Politzer H D. Phys. Rev.,1975,D12:1404—1414 5. Carlson C E, Suaya R. Phys. Rev.,1976,D14:3115—3121 6. Waikwok Kwong, Paul B. Mackenzie. Phys. Rev.,1988,D37:3210—3215 7. Chiang H C, Hufner J, Pirner H J. Phys. Let.,1994,B324:428—486 8. Ahamady M R , Mendel R R. Phys. Rev.,1995,D51:141—146 9. BDG Group. The European Physical Journal, 2000, C15(1—4):85—91

[1]	CHEN Jian-Bin , FENG Tai-Fu , GAO Tie-Jun , SUN Ke-Sheng . Constraint on the warped space from B→X<sub>s</sub>γ. Chinese Physics C, 2013, 37(6): 063102. doi: 10.1088/1674-1137/37/6/063102
[2]	K. I. Beloborodov , A. V. Berdyugin , A. A. Botov , V. B. Golubev , T. V. Dimova , V. P. Druzhinin , A. G. Kharlamov , D. P. Kovrizhin , I. A. Koop , A. A. Korol , S. V. Koshuba , A. E. Obrazovsky , E. V. Pakhtusova , D. A. Shtol , S. I. Serednyakov , Z. K. Silagadze , A. N. Skrinsky , Yu. A. Tikhonov , Yu. M. Shatunov , A. V. Vasil'ev . Study of the process e⁺e^－→π⁺π^－π⁰π⁰ at energies √s<1 GeV. Chinese Physics C, 2010, 34(6): 680-685. doi: 10.1088/1674-1137/34/6/012
[3]	WANG Shu-Nuan . 1keV—200MeV A>24 Nucleon Phenomenological Local and Non-local Spherical Optical Potentials. Chinese Physics C, 2006, 30(S2): 238-240.
[4]	MO Xiao-Hu , ZHU Yong-Sheng , YUAN Chang-Zheng , FU Cheng-Dong , LI Gang . Determination of ψ(2S) Total Number by Inclusive Hadronic Decay. Chinese Physics C, 2004, 28(5): 455-462.
[5]	WANG Jun , LV Feng , TONG Guo-Liang , ZHANG Chang-Chun , HONG Tao , YUAN Jian-Ming , XU Ye . Study of Neutral Track Measurement at BESⅡ. Chinese Physics C, 2002, 26(2): 116-121.
[6]	MO Xiao-Hu , ZHU Yong-Sheng . Determination of Decay Width Error and Luminosity in ψ(2S) Scan. Chinese Physics C, 2001, 25(12): 1133-1139.
[7]	Li Haibo , Yuan Changzheng , Li Jin , Li Xinhua . Study of Neutral Track Measurement at BES. Chinese Physics C, 1999, 23(7): 607-615.
[8]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[9]	Jiang Junqin . Variational Study of<ΨΨ> in 1+1 Dimensional Lattice QCD. Chinese Physics C, 1999, 23(4): 347-351.
[10]	CHEN Xingqu , XING Zheng . Examine the Method of Spin Determination in Superdeformed Bands on the Basis of Normal Deformation. Chinese Physics C, 1993, 17(12): 1102-1106.
[11]	. Author Index,Form<>1988—1992. Chinese Physics C, 1992, 16(12): 1059-1148.
[12]	ZHENG Guo-Tong , SU Ru-Keng . Vextex Corrections and one σ Exchange Potential at Finite Temperature. Chinese Physics C, 1991, 15(8): 689-694.
[13]	XU Xiao-Ji , QU Xiu-Lan , CHENG Yuan . The Prediction of Proton Decay for Neutron Deficient Nuclei with A<70. Chinese Physics C, 1991, 15(7): 630-646.
[14]	CHEN Qi-Zhou , ZHENG Wei-Hong , LUO Xiang-Qian , FANG Xi-Yan . Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[15]	LI Zhi-Bing . ON THE TREE GRAPH APPROXIMATION OF <ψψ>. Chinese Physics C, 1990, 14(9): 859-861.
[16]	CAO Zhi-Jun , SHEN Jian-Ping , LI Guang-Lie . THE ROLE OF NUCLEON-NUCLEON SHORT-RANGE CORRELATIONS IN THE UNCLEAR STRUCTURE FUNCTION IN THE X>1 REGION. Chinese Physics C, 1989, 13(10): 924-929.
[17]	LI Chun-Xian , WANG Zheng-Zhi . THE STUDY OF KNO SCALING IN THE pp COLLISION √<SPAN style=. Chinese Physics C, 1986, 10(4): 427-433.
[18]	CHEN Ying-Xuan , HE Chang-Xiao , XIAO Qian-Yi , WANG Li-Xiang . THE TIME DISTRIBUTION OF EAS WITH E>10¹⁴eV. Chinese Physics C, 1985, 9(4): 391-396.
[19]	ZHANG Jing-Ye , ZHONG Ji-Quan , LIE Bao-An . ON THE DETERMINATION OF THE GROUND BAND PROPERTY IN ¹⁵²Dy. Chinese Physics C, 1984, 8(6): 761-764.
[20]	LI TIE-ZHONG . DETERMINATION OF LEPTON LIKE-CABIBBO ANGLES AND PROBABLE INTERPRETATION OF μ→eγ TYPE PROCESSES. Chinese Physics C, 1982, 6(3): 275-279.

Access

Get Citation

PING Rong-Gang, JIANG Huan-Qing and ZOU Bing-Song. Finite Size Vertex Correction to the Strong Decay of η_c and χ_c States and a Determination of α_s(m_c)[J]. Chinese Physics C, 2002, 26(6): 563-568.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-09-03
Revised: 1900-01-01

Article Metric

Article Views(1472)
PDF Downloads(636)
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

Finite Size Vertex Correction to the Strong Decay of η_c and χ_c States and a Determination of α_s(m_c)

Corresponding author: PING Rong-Gang,

Institute of Hight Energy Physics,The Chinese Academy of Sciences,Beijing 100039,China2 Institute of Theoretical Physics,The Chinese Academy of Sciences,Beijing 100080,China3 Nuclear Theory Center,Chinese National Lab. of Heavy Ion Accelarator,Lanzhou 730000,China

Received Date: 2001-09-03

Accepted Date: 1900-01-01

Available Online: 2002-06-05

Abstract: In previous calculations of the strong decay of a charmonium,the first-order momentum dependence of the quark propagator is kept. It was found that the finite-size vertex correction to the Γ(J/ψ→3g) process is large. In this paper we calculate the two-gluon decay widths of η_c,χ_c0 and χ_c2 by including the full momentum dependence of the quark propagator. Comparing to the zero-order calculation we find that the finite-size vertex correction factor to the two-gluon decay widths of η_c is 1.32,and for the two gluon decays of χ_c0 and χ_c2,the vertex correction factors are 1.45 and 1.26, respectively. With the corrected decay widths Γ(η_c→2g) we extract the value as α_s(m_c)=0.28±0.05 which agrees with that calculated from the Γ(J/ψ→3g) process with the same correction. The finite-size vertex correction to the process Γ(η_c→3g) is not as large as that to the process Γ(J/ψ→3g).

HTML

Reference (1)

Finite Size Vertex Correction to the Strong Decay of η_c and χ_c States and a Determination of α_s(m_c)

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article