ASYMPTOTIC FREEDOM AND THE WAVE FUNCTIONS AT THE ORIGIN AND THE ENERGY LEVELS OF THE J/<EM>ψ</EM> AND THE<EM>Y</EM>

Zhou Bang-rong

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2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(1) : 93-102

ASYMPTOTIC FREEDOM AND THE WAVE FUNCTIONS AT THE ORIGIN AND THE ENERGY LEVELS OF THE J/ψ AND THEY

Zhou Bang-rong

University of Science and Technology of China

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Abstract：
On the basis of phenomenological quantum chromodynamics (QCD), a nonre-lativistic linear and Coulomb-like potential describtion of the strong interaction be-tween quarks is assumed and it is considered that the effective quark-gluon coup-ling constant approaches the asymptotically free limit of QCD. The cloice of thepotential parameters is so made as to fit the experimental values of the wave func-tions at the origin as well as the masses of the J/ψ and the γ Following the calcu-lation referring to the ψ′and the γ′, we acquire a consistent explanation for boththe relative values of the wave functions at the origin and the experimental mass asdifferences of these particles.

References

[1]

S. W. Herb et. al., Phys. Rev. Lett.,39 (1977), 252.[2] 见C.Quigg 1978年9月在名京的讲演.[3] 中国科学院原子能研究所基本粒于理论组,原子能,第8期(1966), 171页,文中的公式(5),如果忽略层子的反常磁矩,并考虑到层子有三杯颜色,即为(1.1)式.[4] C.E.Carlson and R. Suaya., Phys Rev. Lett., 39 (1977), 908.J. L. Rosner et al, Phys Lett, 74B (1978),350.[5] W. Marciano aad H. Pagels, Phys.Rep., 36C (1978), 139.[6] J. D. Jackson, SLAC-198 (1976).[7] V. A. Navikov et al., Phys. Rep. 41C (1978),1.[8] K. G. Wilson Phys Rev. D10(1974), 2445.[9] E. Eichten et a1., Phys. Rev. Lett.,34(1974), 369;Phys Rev., D17 (1978), 3090.[10] R. C. Giles and S. H. H. Tye, Phys. Rev. Lett., 37 (1976), 1175.[11] C. Quigg and J. L.Rosner, Phys. Lett., 71B (1977), 153.[12] M. Kobayashi and A. Maskawa, Prog. Theor. Phys. 49 (1873),652.[13] D. Pignon and C. A. Piketty, Phys. Lett., 74B (1978), 108.[14] R. Barbieri et al., Phys. Lett, 57B (1975), 455.

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Zhou Bang-rong. ASYMPTOTIC FREEDOM AND THE WAVE FUNCTIONS AT THE ORIGIN AND THE ENERGY LEVELS OF THE J/ψ AND THEY[J]. Chinese Physics C, 1980, 4(1): 93-102.

Zhou Bang-rong. ASYMPTOTIC FREEDOM AND THE WAVE FUNCTIONS AT THE ORIGIN AND THE ENERGY LEVELS OF THE J/ψ AND THEY[J]. Chinese Physics C, 1980, 4(1): 93-102. shu

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Received: 1978-12-19
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

ASYMPTOTIC FREEDOM AND THE WAVE FUNCTIONS AT THE ORIGIN AND THE ENERGY LEVELS OF THE J/ψ AND THEY

Zhou Bang-rong

University of Science and Technology of China

Received Date: 1978-12-19
Accepted Date: 1900-01-01
Available Online: 1980-02-05

Abstract: On the basis of phenomenological quantum chromodynamics (QCD), a nonre-lativistic linear and Coulomb-like potential describtion of the strong interaction be-tween quarks is assumed and it is considered that the effective quark-gluon coup-ling constant approaches the asymptotically free limit of QCD. The cloice of thepotential parameters is so made as to fit the experimental values of the wave func-tions at the origin as well as the masses of the J/ψ and the γ Following the calcu-lation referring to the ψ′and the γ′, we acquire a consistent explanation for boththe relative values of the wave functions at the origin and the experimental mass asdifferences of these particles.