The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange

Bian Jianguo; Wang Jiahui

Chinese Physics C> 1994, Vol. 18> Issue(7) : 591-600

The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange

Bian Jianguo ^, ,
Wang Jiahui

Institute of High Energy physics, Acodemia Sinica, Beijing 1000392 Beijing Agriculturl Uiniversity, Beijing 100094

Abstract
HTML
Reference
Related

PDF

Abstract：
The integral Bethe-Salpeter equation in the approximation of single gluon exchange in momentum position is converted to a differential equation, and all the components of the pseudo-scalar solution of the equation for a vanishing total fourmomentum,including the Goldstein solution as the first component, are derived.

References

[1]

E.E.Salpeter and H.A.Bethe,Phys.Rev.84（1951）1232.[2]J.Goldstein,Phys.Rev.91（1953）1516.[3]M.Gohm,H.Joos and M.Krammer,Nucl.Phys,B51（1973）397;D.Z.Winkel.J.Malh.Phys,16（1975）93.[4]R.F.Keam,J.M.Phys.10（1969）594.[5]T.Huang and Z.Huang.Commun.Theor.Phys.11（1989）179.[6]W.Kummer,Nuovo Cim,31（1964）219;34（1964）1840（E）.[7]K.Higashijima,Pro.Theor.Thys,55（1976）1591.[8]K.Higashijima and A.Nishimuya,Nucl.Phys,B113（1976）173.[9]J.G.Bian.and T.Huang,High Energy Phys.and Nucl.Phys,2（1992）179.

[1]	Zi-Kan Geng , Yue Jiang , Tianhong Wang , Hui-Wen Zheng , Guo-Li Wang . Isgur-Wise function in B_c decays to charmonium with the Bethe-Salpeter method. Chinese Physics C, 2021, 45(1): 013104. doi: 10.1088/1674-1137/abc16b
[2]	Jian Liang , Wei Sun , Ying Chen , Wei-Feng Qiu , Ming Gong , Chuan Liu , Yu-Bin Liu , Zhao-Feng Liu , Jian-Ping Ma , Jian-Bo Zhang . Spectrum and Bethe-Salpeter amplitudes of Ω baryons from lattice QCD. Chinese Physics C, 2016, 40(4): 041001. doi: 10.1088/1674-1137/40/4/041001
[3]	Richard Williams , Christian S . Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation. Chinese Physics C, 2010, 34(9): 1500-1503. doi: 10.1088/1674-1137/34/9/084
[4]	Li GuangLie , Yang JianJun , Shen HongQing . Study of Nonperturbative Corrections to the One-Gluon-Exchange Potentential. Chinese Physics C, 2000, 24(5): 384-389.
[5]	YU YouWen , ZHANG ZongYe . NN Spin-Orbit Force from the Quark-Antiquark Pair Creation Model. Chinese Physics C, 2000, 24(7): 649-655.
[6]	Bian Jianguo , Huang Tao . Pseudo-Scalar Meson Solutions of the Equal-Time Equation IN QCD. Chinese Physics C, 1994, 18(2): 127-136.
[7]	CHEN Bao-Qiu , MA Zhong-Yu . An Investigation of Relativistic Microscopic Optical Potential in Terms of Relativistic Brueckner-Bethe-Goldstone Equation. Chinese Physics C, 1992, 16(2): 123-130.
[8]	DONG Yu-Bing , SU Jun-Chen . BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA. Chinese Physics C, 1989, 13(11): 1007-1016.
[9]	YU You-Wen , SHEN Peng-Nian . STUDIES OF ρ AND K* MESONS DECAY BY THE ONEGLUON-EXCHANGE QUARK-ANTIQUARK PAIR CREATION MODEL. Chinese Physics C, 1988, 12(1): 137-139.
[10]	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.
[11]	DAI You-Shan , SONG Xiao-Tong . THE BETHE-SALPETER EQUATION FOR SPIN (0—3/2) ELECTROMAGNETIC BOUND SYSTEM AND ITS APPROXIMATE SOLUTION. Chinese Physics C, 1986, 10(5): 527-535.
[12]	YU Hong , LI Bing-An , SHEN Qi-Xing , ZHANG Mei-Man . GLUEBALL COMPONENT OF THE PSEUDOMESON AND ITS PRODUCTION IN J/ψ RADIATIVE DECAY. Chinese Physics C, 1984, 8(3): 285-290.
[13]	YU You-Wen , ZHANG Zong-Ye . NUCLEON-MESON VERTEX INTERACTIONS DUE TO ONE-GLUON EXCHANGE TRANSITION POTENTIAL V_q→qqq. Chinese Physics C, 1983, 7(5): 575-582.
[14]	JU CHANG-SEN . THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY. Chinese Physics C, 1982, 6(1): 25-29.
[15]	Zhou Xian-jian , Xue Pei-you . WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS. Chinese Physics C, 1980, 4(1): 49-62.
[16]	Ruan Tu-nan , Zhu Xi-quan , He Zho-xiu . DERIVATION OF A QUASIPOTENTIAL EQUATION FROM AN EQUATION OF THE BE THE-SALPETER TYPE. Chinese Physics C, 1980, 4(2): 186-190.
[17]	Li Bing-an , Xian Ding-chang , Yan Su , Chen Tian-lun , Yang Qing-zhu , Lu Jing-fa . THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION. Chinese Physics C, 1980, 4(1): 33-42.
[18]	SHEN QI-XING , HUANG TAO . THE PSEUDOSCALAR GLUON AND THE HADRON STRUCTURE. Chinese Physics C, 1979, 3(3): 277-284.
[19]	LI BING-AN . WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS. Chinese Physics C, 1979, 3(2): 141-151.
[20]	GAO CHONG-SHOU . BETHE-SALPETER EQUATION FOR STRATON AND ANTISTRATON WITH DIFFERENT MASSES AND SU(4)MASS RELATIONS FOR MESONS. Chinese Physics C, 1979, 3(2): 152-164.

Access

Get Citation

Bian Jianguo and Wang Jiahui. The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange[J]. Chinese Physics C, 1994, 18(7): 591-600.

Bian Jianguo and Wang Jiahui. The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange[J]. Chinese Physics C, 1994, 18(7): 591-600. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2745)
PDF Downloads(507)
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

The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange

Bian Jianguo ^,
Wang Jiahui

Corresponding author: Bian Jianguo,

Institute of High Energy physics, Acodemia Sinica, Beijing 1000392 Beijing Agriculturl Uiniversity, Beijing 100094

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-07-05

Abstract: The integral Bethe-Salpeter equation in the approximation of single gluon exchange in momentum position is converted to a differential equation, and all the components of the pseudo-scalar solution of the equation for a vanishing total fourmomentum,including the Goldstein solution as the first component, are derived.