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

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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_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).

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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.

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

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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_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).