The Quantum Bound States Around the JBD Straight Cosmic String

ZHANG Shiwei; WANG Renchuan

Chinese Physics C> 1993, Vol. 17> Issue(11) : 1016-1020

The Quantum Bound States Around the JBD Straight Cosmic String

ZHANG Shiwei ^, ,
WANG Renchuan

Shanghai School of Chemical Technology,Shanghai 2003332 Center of Astrophysics University of Science and Technology of China,Hefei 230026

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Abstract：
In this paper,the existence of bound state solution to Klein-Gordon and Dirac equations under the JBD Straight Cosmic String background is investigated.We prove the existence of such bound states,and point out that the number of which might be infinite.The location and spectrum of bound states of lower energy are calculated.The nearest bound state to string of meson is located within the region 10^－13cm.For electron,the nearest one is located at 10^－7cm,with orbit velocity 10^－4c.The discoverv of quantum bound states mentioned might provide a new mechanism for the observation of the cosmic string.

References

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Vilenkin, A, Phys. Rep. ,121(1985),263. Hawking. S. W.，Three Hundred Years of Gravitation (1987)Cambridge University Press, New York.[2]Gundlach,C. and Ortiz, M. E. Phys. Rev. ,D42(1990),2521.[3]Reasenberg, R. D. et al.，Astrophys. ,JL219(1979),234.[4]Aryal, M. et al. ,Phys. Rev. ,D34(1986),2263[5]Su Rukeng, KE XUE TONG BA0,28(1983),1323.

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ZHANG Shiwei and WANG Renchuan. The Quantum Bound States Around the JBD Straight Cosmic String[J]. Chinese Physics C, 1993, 17(11): 1016-1020.

ZHANG Shiwei and WANG Renchuan. The Quantum Bound States Around the JBD Straight Cosmic String[J]. Chinese Physics C, 1993, 17(11): 1016-1020. shu

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Received: 1900-01-01
Revised: 1900-01-01

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The Quantum Bound States Around the JBD Straight Cosmic String

ZHANG Shiwei ^,
WANG Renchuan

Corresponding author: ZHANG Shiwei,

Shanghai School of Chemical Technology,Shanghai 2003332 Center of Astrophysics University of Science and Technology of China,Hefei 230026

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-11-05

Abstract: In this paper,the existence of bound state solution to Klein-Gordon and Dirac equations under the JBD Straight Cosmic String background is investigated.We prove the existence of such bound states,and point out that the number of which might be infinite.The location and spectrum of bound states of lower energy are calculated.The nearest bound state to string of meson is located within the region 10^－13cm.For electron,the nearest one is located at 10^－7cm,with orbit velocity 10^－4c.The discoverv of quantum bound states mentioned might provide a new mechanism for the observation of the cosmic string.