BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA

  • In this paper,an adequate form of qq Bethe-Salpeter (B-S) equation with one gluon exchange interaction and harmonic oscillator confining potential being taken into account has been derived,based on correct Gordon decompositions of the γ-matrices and a proper treatment for the fermion propagators in the equation.Furthermore,a Pauli-Schrodinger (P-S) equation including relativistic corrections has been established on the basis of the B-S equation by making use of relations between 4×1 components of the 16×1 B-S amplitude and a connection between the B-S amplitude and the P-S wave function both of which were found in the approximation of the order of p2/m2.Calculations of meson spectra by employing the latter equation give a better agreement with the experimental data.
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DONG Yu-Bing and SU Jun-Chen. BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA[J]. Chinese Physics C, 1989, 13(11): 1007-1016.
DONG Yu-Bing and SU Jun-Chen. BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA[J]. Chinese Physics C, 1989, 13(11): 1007-1016. shu
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Received: 1900-01-01
Revised: 1900-01-01
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BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA

    Corresponding author: DONG Yu-Bing,
  • Department of Physies Jilin University,Changchun

Abstract: In this paper,an adequate form of qq Bethe-Salpeter (B-S) equation with one gluon exchange interaction and harmonic oscillator confining potential being taken into account has been derived,based on correct Gordon decompositions of the γ-matrices and a proper treatment for the fermion propagators in the equation.Furthermore,a Pauli-Schrodinger (P-S) equation including relativistic corrections has been established on the basis of the B-S equation by making use of relations between 4×1 components of the 16×1 B-S amplitude and a connection between the B-S amplitude and the P-S wave function both of which were found in the approximation of the order of p2/m2.Calculations of meson spectra by employing the latter equation give a better agreement with the experimental data.

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