Chinese Physics C > 1979, Vol. 3 > Issue(6): 688-696

THE APPROXIMATE B-S WAVE FUNCTION FOR ELECTROMAGNETIC BOUND STATES CONSISTING OF A FERMION AND AN ANTI-FERMION OF SPIN 1/2

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Abstract：
The Bethe-Salpeter equation for the electromagnetic bound states consisting of a fermion and an anti-fermion of spin1/2 is solved in the Ladder approximation in this paper.The well-known Balmer series is obtained together with the B-S wave functions,which are relativistic covariant,also have correct analytic properties and satisfy the spectra conditions.The results are applied to the processes η ⁰→ γ+（e ⁺e ^-）and η ⁰→ γ+（ _μ ⁺ μ ^-）.It is shown that the creation,annihilation and transition processes of such relativistic electromagnetic bound states can be calculated conveniently by using the approximate B-S wave functions obtained in this paper.

References

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N. Nakanishi, Supp. Prog. Theor. Phys.,43(1989), 1.[2] 胡中,物理学报，25 (1976), 494;北京大学物理系基本粒子理论组，物理学报，25 (1976), 816: 415.[3] G. C. Wick, Phys. Rev, 96(1954), 1124.[4] R. E. Cuttkosky, Phys. Rev., 96(1954), 1135[5] 昊坚武等,中国科学，5 (1977), 431. A. H.Guth. Ann. Phys. (N. Y.). 82(1974), 407.[6] 吴泳时、何柞麻，物理学报，26 (1977), 274. 该文引有关于四维谐振子的有关文献.[7] 北京大学物理系基本粒子理论组，中国科学院数学研究所理论物理研究室，北京大学学报(自然科学版)，12(1966), 209.[8] 中国科学院数学研究所理论物理研究室，北京大学物理系基本粒子理论组，原子能.(1966), 507.[9] π. π. Hemennos, K. 15 (1972), 1047.[10] 何祚麻、张肇西、黄涛，物理学报，25 (1976), 215.

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HE JU, ZHANG ZHAO-XI and HE ZUO-XIU. THE APPROXIMATE B-S WAVE FUNCTION FOR ELECTROMAGNETIC BOUND STATES CONSISTING OF A FERMION AND AN ANTI-FERMION OF SPIN 1/2[J]. Chinese Physics C, 1979, 3(6): 688-696.

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Received: 1978-07-18
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 APPROXIMATE B-S WAVE FUNCTION FOR ELECTROMAGNETIC BOUND STATES CONSISTING OF A FERMION AND AN ANTI-FERMION OF SPIN 1/2

Received Date:1978-07-18
Accepted Date:1900-01-01
Available Online:1979-12-05

Abstract:The Bethe-Salpeter equation for the electromagnetic bound states consisting of a fermion and an anti-fermion of spin1/2 is solved in the Ladder approximation in this paper.The well-known Balmer series is obtained together with the B-S wave functions,which are relativistic covariant,also have correct analytic properties and satisfy the spectra conditions.The results are applied to the processesη⁰→γ+（e⁺e^-）andη⁰→γ+（_μ⁺μ^-）.It is shown that the creation,annihilation and transition processes of such relativistic electromagnetic bound states can be calculated conveniently by using the approximate B-S wave functions obtained in this paper.