BOUND STATE CONDITION OF FERMION AND JULIA-ZEE DYON SYSTEM

WANG Ke-Lin; ZHANG Jian-Zu

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(2) : 161-167

BOUND STATE CONDITION OF FERMION AND JULIA-ZEE DYON SYSTEM

WANG Ke-Lin ^, ,
ZHANG Jian-Zu

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Abstract：
A scalar coupling model of SU(2) Higgs and fermion is considered. The main results are: (1) Treating the Julia-Zee dyon as external potential, the equation system of the radial wave functions of the fermions is obtained. (2) The asymptotic solutions at the infinity and the origin are presented. (3) The necessary conditions of the fermion's bound states are qualitatively discussed which shows that for the monopole case when the scalar coupling approaches zero the fermion's bound states do not exist, but for the dyon case when the scalar coupling approaches zero the existence of the bound state is possible.

References

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G. 'tHooft, Nucl. Phys., B79(1974), 276;A. Polyakov, JETP. Lett., 20(1974), 194.[2] J. H. Swank, L. J. Swank and Tekin Deteli, Phys. Pev., D12(1975), 1096.[3] R. Jackiw and C. Rebbi, Phys. Rev., D13(1976), 3398.[4] 王明中、汪克林、郑希特、冼鼎昌、章正刚, 高能物理与核物理, vo1, 2, (1978),35.[5] Li Xinzhou, Wang Kelin and Zhang Jianzu, Nuov. Cim., A75( 1983), 87.[6] 李新洲、汪克林、张鉴祖, 科学通报, 28(1983), 1231.[7] Li Xinzhou, Wang Kelin and Zhang Jianzu, Nuov. Cim., A80(1984), 311.[8] Li Xinzhou, Wang Kelin and Zhang Jianzu, Phys. Lett., 140B (1984), 209.[9] B. Julia and A. Zee, Phys. Rev., D11(1975), 222.[10] A. S. Blaser, N. H. Christ and Ju-Fei Tang, Phys. Rev., D25(1982), 2128.[11] C. G. Callen, Jr. Phys. Rev., D25(1982), 2141.

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WANG Ke-Lin and ZHANG Jian-Zu. BOUND STATE CONDITION OF FERMION AND JULIA-ZEE DYON SYSTEM[J]. Chinese Physics C, 1985, 9(2): 161-167.

WANG Ke-Lin and ZHANG Jian-Zu. BOUND STATE CONDITION OF FERMION AND JULIA-ZEE DYON SYSTEM[J]. Chinese Physics C, 1985, 9(2): 161-167. 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

BOUND STATE CONDITION OF FERMION AND JULIA-ZEE DYON SYSTEM

WANG Ke-Lin ^,
ZHANG Jian-Zu

Corresponding author: WANG Ke-Lin,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-04-05

Abstract: A scalar coupling model of SU(2) Higgs and fermion is considered. The main results are: (1) Treating the Julia-Zee dyon as external potential, the equation system of the radial wave functions of the fermions is obtained. (2) The asymptotic solutions at the infinity and the origin are presented. (3) The necessary conditions of the fermion's bound states are qualitatively discussed which shows that for the monopole case when the scalar coupling approaches zero the fermion's bound states do not exist, but for the dyon case when the scalar coupling approaches zero the existence of the bound state is possible.