THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION

Li Bing-an; Xian Ding-chang; Yan Su; Chen Tian-lun; Yang Qing-zhu; Lu Jing-fa

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(1) : 33-42

THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION

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Abstract：
The influence of the self-energy diagrams on the solutions of the Bethe-Salpe-ter equation is studied by taking a gφ₁*（x）φ₁（x）φ₂（x） interaction and under the ladder approximation. The results show for ground state solution, the self-energy diagrams will diminish the eigenvalues and alter the wave funetions slight-ly. While for the excited states and anti-symmetric solutions, the influence of theself-energy diagrams is considerable. which completely alters the properties of the solutions. The results also show that the solutions from the ladder approximationare meaningful only in the loosly bounded cases, and as the binding becomes tight,the contribution from the self-energy diagrams becomes important.

References

[1]	M .J. Levine, J. Wright, J. A. Tjon, Phys. Rev., 154(1967), 1433.[2] M. J. Levine, J. Wright, J. A. Tjon, Phys. R1969), 1416.[3] Zur Linden, Mitten Nuovo Cimento, 61B(1969), 389.[4] A. Pagnamenta, Nuovo Cimento, 53(1968), 30.[5] Schwartz, Phys. Rev., 137(1965), B717.

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Li Bing-an, Xian Ding-chang, Yan Su, Chen Tian-lun, Yang Qing-zhu and Lu Jing-fa. THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION[J]. Chinese Physics C, 1980, 4(1): 33-42.

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Received: 1978-11-21
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

THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION

Received Date: 1978-11-21
Accepted Date: 1900-01-01
Available Online: 1980-02-05

Abstract: The influence of the self-energy diagrams on the solutions of the Bethe-Salpe-ter equation is studied by taking a gφ₁*（x）φ₁（x）φ₂（x） interaction and under the ladder approximation. The results show for ground state solution, the self-energy diagrams will diminish the eigenvalues and alter the wave funetions slight-ly. While for the excited states and anti-symmetric solutions, the influence of theself-energy diagrams is considerable. which completely alters the properties of the solutions. The results also show that the solutions from the ladder approximationare meaningful only in the loosly bounded cases, and as the binding becomes tight,the contribution from the self-energy diagrams becomes important.