Static Quark Potential Study for Polyakov Kleinert String

JIANG Tao; HU Shi-Ke

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(2) : 119-127

Static Quark Potential Study for Polyakov Kleinert String

JIANG Tao ^, ,
HU Shi-Ke

Foundation Department,Sichuan Building Material College,Mianyang 621002Department of Physics,Sichuan University,Chengdu 610064

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Abstract：
By considering the g_ab as an independent field,we have derived a covariant Polyakov string equation.The general eigenfunctions in the case of the free and fixed boundary conditions to this equation are obtained.By evaluating the trace of the fixed eigenfunctions and expanding to the leading order in 1/D expansion,we have obtained the heavy quark potential.The numerical results of ψ and γ families including energy levels,leptonic widths etc.,are in good agreement with experiment.Furthermore,we have calculated the energy levels and leptonic widths of (tt) in a wide range of t quark mass (50GeV～120GeV).

References

[1]

A.M. Polyakov, Nucl. Phys., B268(1986), 406.[2]H.Kleinert, Phys. Lett., B174(1986), 335.[3]T.L. GStrtright et al., Phys. Rev., D34(1986), 3811[4]E.Braaten et al., Phys. Rev,, D36(1987), 3102.[5]E.Eichten et al., Phys. Rev., D21(1980), 203.[6]X.Zhou, Phys. Lett., B238(199p), 2p5.[7]F.Alonso et al, Nucl. Phys:., 8283(1987), 393.[8]M.Luscher Nucl. Phys., B180(1981), 317.[9]O.Alvarez, Phys. Rev., D24(1981), 440.[10]E.Eichten et al., Phys. Rev., Dll(1978), 3090.[11]J.Hernandez et al,Phys. Lett., B299(1990).[12]W.Buchmuller et al., Phys. Rev., D24(1981), 132.

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JIANG Tao and HU Shi-Ke. Static Quark Potential Study for Polyakov Kleinert String[J]. Chinese Physics C, 1993, 17(2): 119-127.

JIANG Tao and HU Shi-Ke. Static Quark Potential Study for Polyakov Kleinert String[J]. Chinese Physics C, 1993, 17(2): 119-127. shu

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Received: 1900-01-01
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

Static Quark Potential Study for Polyakov Kleinert String

JIANG Tao ^,
HU Shi-Ke

Corresponding author: JIANG Tao,

Foundation Department,Sichuan Building Material College,Mianyang 621002Department of Physics,Sichuan University,Chengdu 610064

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-02-05

Abstract: By considering the g_ab as an independent field,we have derived a covariant Polyakov string equation.The general eigenfunctions in the case of the free and fixed boundary conditions to this equation are obtained.By evaluating the trace of the fixed eigenfunctions and expanding to the leading order in 1/D expansion,we have obtained the heavy quark potential.The numerical results of ψ and γ families including energy levels,leptonic widths etc.,are in good agreement with experiment.Furthermore,we have calculated the energy levels and leptonic widths of (tt) in a wide range of t quark mass (50GeV～120GeV).