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

DONG Yu-Bing; SU Jun-Chen

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(11) : 1007-1016

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

DONG Yu-Bing ^, ,
SU Jun-Chen

Department of Physies Jilin University,Changchun

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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.

References

[1]

T. Murota, Prog. Theor. phys., 63(1983), 181.[2] E. E. Salpeter H. A. Bethe. Phys. Rev,. 84 (1951): 1232[3] N. Nakanish, Prog. Theor. Phys. Suppl.43 (1459), 1.[4] A. N. Mitra, Z. phys., C8 (1981), 25.[5] A. N. Mitra 1. Santhanam, Z. phys., C8 (1951), 33.[6] A. N. Mitra D. S. Kulshreshrha, phys. Rev,.; D26(1982), 3123.[7] A. N. Mitra D. S. Kulshreshrha, Phys. Rev., D2S (1983), 589.[8] A. N. Mitra A. Mitral, Phys. Rev., D29 (1984), 1399.[9] A. Mittal A. N. Mirra, phys. Rev. Lett., 57(1986), 290.[10] M. Arafah, R. Bhandari B. Ram, Lett. Nuovo. Cimezio., 38(1983), 305.[11] V. Kriss 5. Ram, Mod. phys. Lett., A3(1988), 33.[12] Wai-Yee Keung L. J. Muzinich, Phys. Rev., 1127 (1963). 1518.[13] Chris Long D. Robson, Phys. Rev., D27(1983), 614.[14] Chris Long, Phys. Rev, D30(1984), 1970.[15] 赵光达，中国科学,A辑,(1983),247.[16] A. De Rujula, et al., Phys. Rev., D12(1975), 147.[17] 苏君辰和吴式枢，高能物理与核物理，5(1987)，644.[18] E. E. Salpeter, phys. Rev., 87 (1952), 323.[19] M. Mandelstam, Prog. Roy Soc., A233 (1955), 248.[20] C. Itzykson B. Zuber, Quantum Field TheorycGraw-Hill, 80.

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

DONG Yu-Bing ^,
SU Jun-Chen

Corresponding author: DONG Yu-Bing,

Department of Physies Jilin University,Changchun

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-11-15

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.