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

  • 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.
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  • [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.
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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
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Received: 1900-01-01
Revised: 1900-01-01
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The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange

    Corresponding author: Bian Jianguo,
  • Institute of High Energy physics, Acodemia Sinica, Beijing 1000392 Beijing Agriculturl Uiniversity, Beijing 100094

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.

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