THE RELATIVISTIC DEUTERON WAVE FUNCTION

Yu You-wen; Wu Hui-fang

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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) : 1-7

THE RELATIVISTIC DEUTERON WAVE FUNCTION

Yu You-wen ,
Wu Hui-fang

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Abstract：
Starting from the Bethe-Slapeter equation, the coupled equations for the bound states of the deuteron may be reduced to the ordinary three dimensional ones and the number of the components of the wave function is decreased by using the approxima-tion of the instantaneous interaction in the center of mass system. The wave functions of the deuteron are expanded in terms of the spherical and the vector spherical har-monics and the radial coupling integral equations are obtained. Some properties of the deuteron wave functions are discussed also. Qualitative estimations indicate that the relative ratio of the probability of P wave to that of S wave is about the order of(1/2)|(p/m)|²

References

[1]	E. E. Salpeter and H. H. Bethe, Phys. Rev., 84(1951), 1232.[2] E. A. Remler, Nucl. Phys., B42(1972), 56.,M.Gourdin, J. Tran Thanh Van, Nuovo Cimento., 18(1960), 443.[3] 北京大学物理系基本粒子理论组，物理学报，25(1976), 316.

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Yu You-wen and Wu Hui-fang. THE RELATIVISTIC DEUTERON WAVE FUNCTION[J]. Chinese Physics C, 1980, 4(1): 1-7.

Yu You-wen and Wu Hui-fang. THE RELATIVISTIC DEUTERON WAVE FUNCTION[J]. Chinese Physics C, 1980, 4(1): 1-7. shu

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Received: 1978-08-05
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 RELATIVISTIC DEUTERON WAVE FUNCTION

Yu You-wen
Wu Hui-fang

Received Date: 1978-08-05
Accepted Date: 1900-01-01
Available Online: 1980-02-05

Abstract: Starting from the Bethe-Slapeter equation, the coupled equations for the bound states of the deuteron may be reduced to the ordinary three dimensional ones and the number of the components of the wave function is decreased by using the approxima-tion of the instantaneous interaction in the center of mass system. The wave functions of the deuteron are expanded in terms of the spherical and the vector spherical har-monics and the radial coupling integral equations are obtained. Some properties of the deuteron wave functions are discussed also. Qualitative estimations indicate that the relative ratio of the probability of P wave to that of S wave is about the order of(1/2)|(p/m)|²