Static Quark Potential Study for Polyakov Kleinert String

JIANG Tao; HU Shi-Ke

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

Abstract
HTML
Reference
Related

PDF

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.

[1]	LU Gong-Ru , HUANG Jin-Shu , LV Gang . Research of bb Production in the Topcolor Assisted Technicolor Model. Chinese Physics C, 2007, 31(2): 143-149.
[2]	ZHANG Ai-Lin . Review on the Study of Multi-quark States. Chinese Physics C, 2007, 31(8): 792-796.
[3]	CHEN Xiao-Fan . Test of Nonstatic Spherical Quark-Gluon Plasma by Two-Pion Interferometry. Chinese Physics C, 2007, 31(2): 173-176.
[4]	C.Sasaki¹ , B.Friman¹ , K.Redlich² . Fluctuations and the Phase Transition in a Chiral Model with Polyakov Loops. Chinese Physics C, 2007, 31(12): 1141-1144.
[5]	Yang Kongqing . String Tension of Cosmic Strings. Chinese Physics C, 1996, 20(2): 138-141.
[6]	Qi Lijie , Zhang Jianhua , Zhang Zongye , Yu Youwen . Baryon-Baryon Spin-Orbit Interaction in the Quark Potential Model. Chinese Physics C, 1994, 18(8): 757-762.
[7]	SHEN Peng-Nian , SHEN Xiao-Yan , ZHANG Zong-Ye , YU You-Wen . Effective Local N-Y Potentials with S=－1 in Quark Cluster Model. Chinese Physics C, 1993, 17(10): 941-948.
[8]	LUO Zhen-Fei , QIU Xi-Jun . Mass Splittings of L=1 States of Quarkonium and Lorentz Structure of Long-rang Confinement Potential. Chinese Physics C, 1992, 16(8): 716-722.
[9]	YU You-Wen , ZHANG Zong-Ye , SHEN Peng-Nian , SHEN Xiao-Yan . Effective Quark-Quark Interaction Created by Quark-Antiquark Pair Excitation. Chinese Physics C, 1992, 16(11): 1015-1021.
[10]	YU You-Wen , SHEN Peng-Nian , ZHANG Zong-Ye . EQUIVALENT MESON EXCHANGE POTENTIALS ON QUARK MODEL AND N-N SCATTERING. Chinese Physics C, 1990, 14(8): 766-768.
[11]	BAO Jing-Dong , ZHANG Jing-Shang , ZHUO Yi-Zhong . STUDY OF MULTIDIMENSIONAL FISSION WIDTH IN THE QUASI-STATIONARY APPROXIMATION. Chinese Physics C, 1990, 14(5): 464-468.
[12]	YU You-Wen , SHEN Peng-Nian . THE EFFECTIVE TWO-MESON-EXCHANGE POTENTIAL DERIVED FROM THE QUARK-ANTIQUARK PAIR CREATION MODEL. Chinese Physics C, 1989, 13(6): 530-534.
[13]	SUN Yao-De , BI Pin-Zhen . THE INFLUENCE OF THE EFFECTIVE MASS OF GLUON ON HEAVY QUARK POTENTIAL. Chinese Physics C, 1989, 13(5): 429-432.
[14]	ZHOU Yuan-Hai , JIANG De-Sun , QIAN Wen-Jia , GONG Xue-Hui . THE HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL. Chinese Physics C, 1987, 11(2): 202-207.
[15]	LIN He-Fen , SONG Xiao-Tong , HE Ju . A NEW POTENTIAL MODEL. Chinese Physics C, 1987, 11(3): 337-346.
[16]	HUANG Ye-Qin , PENG Hong-An . HEAVY QUARKONIUM SYSTEMS CALCULATED FROM MIXED CONFINEMENT POTENTIAL MODEL. Chinese Physics C, 1986, 10(2): 190-197.
[17]	SU Jun-Chan , WANG Xiu-Jiang , ZHU Yao-Yin . QUARK-ANTIQUARK ONE GLUON EXCHANGE POTENTIAL AND EFFECTIVE NUCLEON-ANTINUCLEON POTENTIAL. Chinese Physics C, 1986, 10(1): 40-46.
[18]	WU Dan-Di . THE EFFECTIVE POTENTIAL BETWEEN QUARKS TO THE ORDER OF υ²/c². Chinese Physics C, 1985, 9(3): 362-366.
[19]	ZHENG Yu-Ming , HUA Da-Ping , LIU Zu-Hua . QUARK CONFINEMENT POTENTIAL AND COLOR VAN DER WAALS FORCE. Chinese Physics C, 1985, 9(4): 467-475.
[20]	YU You-Wen , ZHANG Zong-Ye . NUCLEON-MESON VERTEX FUNCTIONS AND ISOBAR-MESON VERTEX FUNCTIONS FROM QUARK POTENTIAL MODEL. Chinese Physics C, 1985, 9(2): 183-190.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(3715)
PDF Downloads(530)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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).