Finite Size Vertex Correction to the Strong Decay of ηc and xc States and a Determination of αs(mc)
PING Rong-Gang2, JIANG Huan-Qing1,2,3,4, ZOU Bing-Song1,2,3,4
1CCAST (World Lab.), P.O. Box 8730, Beijing 100080
2Institute of Hight Energy Physics, Chinese Academy of Sciences, P.O. Box 918, Beijing 100039
3Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
4Nuclear Theory Center, Chinese National Laboratory of Heavy Ion Accelarator, Lanzhou 730000
Finite Size Vertex Correction to the Strong Decay of ηc and xc States and a Determination of αs(mc)
1CCAST (World Lab.), P.O. Box 8730, Beijing 100080
2Institute of Hight Energy Physics, Chinese Academy of Sciences, P.O. Box 918, Beijing 100039
3Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
4Nuclear Theory Center, Chinese National Laboratory of Heavy Ion Accelarator, Lanzhou 730000
Abstract： We calculate the correction to the two-gluon decay width due to the finite extension of the vertex function. We obtain the corrected factor to the zero-range vertex γ = 1.32, γ = 1.45, γ = 1.26 for ηc,xc0, and xc2, respectively. With the decay width Γ(ηc → 2g) we extract the value αs(mc) = 0.28±0.05 which agrees with that calculated from the same correction to the process Γ(J/ψ → 3g). This correction to the process Γ(ηc → 2g) is not as large as that to the process Γ(J/ψ → 3g).
PING Rong-Gang;JIANG Huan-Qing;;ZOU Bing-Song;;. Finite Size Vertex Correction to the Strong Decay of ηc and xc States and a Determination of αs(mc)[J]. 中国物理快报, 2002, 19(2): 194-196.
PING Rong-Gang, JIANG Huan-Qing, , ZOU Bing-Song, ,. Finite Size Vertex Correction to the Strong Decay of ηc and xc States and a Determination of αs(mc). Chin. Phys. Lett., 2002, 19(2): 194-196.
2002, Vol. 19 
