THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY

JU CHANG-SEN

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1982, Vol. 6> Issue(1) : 25-29

THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY

JU CHANG-SEN

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Abstract：
In the literature, the overlap integral of a transition (e.g. 1^-→0^-+γ) is usuallywritten asI = ∫d³xe^iσx/2φ_f^*(x')φ_i(x) Using Bethe-Salpeter equation with instantaneous approximation, we arrive at adifferent result which depends obviously on the mass of the quarks. Our result willapproximate the above expression only when the binding energy can be neglected.

References

[1]	中国科学院原子能研究所基本粒子理论组,原子能,3(1966).中国科学院原子能研究所基本拉子理论组,原子能,7-8(1966).[2] E. E. Salpeter, Phys. Rev., 87(1952), 328.[3] David. Lurié, Particles and Fields, 9(1968).

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JU CHANG-SEN. THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY[J]. Chinese Physics C, 1982, 6(1): 25-29.

JU CHANG-SEN. THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY[J]. Chinese Physics C, 1982, 6(1): 25-29. shu

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Received: 1979-08-21
Revised: 1900-01-01

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THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY

JU CHANG-SEN

Received Date: 1979-08-21
Accepted Date: 1900-01-01
Available Online: 1982-02-05

Abstract: In the literature, the overlap integral of a transition (e.g. 1^-→0^-+γ) is usuallywritten asI = ∫d³xe^iσx/2φ_f^*(x')φ_i(x) Using Bethe-Salpeter equation with instantaneous approximation, we arrive at adifferent result which depends obviously on the mass of the quarks. Our result willapproximate the above expression only when the binding energy can be neglected.