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

Finite Size Vertex Correction to the Strong Decay of η_cand χ_cStates 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

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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 _c0and χ _c2by 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 _cis 1.32,and for the two gluon decays of χ _c0and 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).

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PING Rong-Gang, JIANG Huan-Qing and ZOU Bing-Song. Finite Size Vertex Correction to the Strong Decay of η _cand χ _cStates and a Determination of α _s(m _c)[J]. Chinese Physics C, 2002, 26(6): 563-568.

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

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通讯作者:陈斌, bchen63@163.com

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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_cand χ_cStates 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_c0and χ_c2by 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_cis 1.32,and for the two gluon decays of χ_c0and 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).

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Finite Size Vertex Correction to the Strong Decay of η_cand χ_cStates and a Determination of α_s(m_c)

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