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

Abstract
HTML
Reference
Related

PDF

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

[1]

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.

[1]	ZHANG Yin-Jie , SHEN Peng-Nian , ZOU Bing-Song . Study of KK strong interaction bound state and K⁺K^－ atomic state. Chinese Physics C, 2006, 30(3): 212-216.
[2]	YAN Mu-Lin . X(1835) as Proton-Antiproton Bound State in Skyrme Model. Chinese Physics C, 2006, 30(11): 1141-1150.
[3]	CAI Chong-Hai , LI Lei . Radial Equation of Bound State and Binding Energies of Ξ^－ Hypernuclei. Chinese Physics C, 2003, 27(11): 1005-1008.
[4]	YU You-Wen , ZHANG Zong-Ye , LI Qiang-Bing . ΩN Bound State in SU(3) Quark Model. Chinese Physics C, 2002, 26(10): 1041-1045.
[5]	Yang Kongqing . String Tension of Cosmic Strings. Chinese Physics C, 1996, 20(2): 138-141.
[6]	Yang Chunbin , Cai Xu . 0^－ Heavy Meson Bound States at Heavy Quark Expansion. Chinese Physics C, 1995, 19(4): 327-331.
[7]	JIANG Huanqing , ZHANG Weifeng . η_c-Nuclear Bound States. Chinese Physics C, 1993, 17(11): 1021-1025.
[8]	CAI Rong-Gen , CHEN Zhi-Jian . The Boson Bound States in the Higher Dimensional Kerr Metric. Chinese Physics C, 1991, 15(5): 420-426.
[9]	LIU Ji-Feng , SHEN Jian-Ping , LI Guang-Lie . POSSIBILITY ON FORMATION OF η-MESON NUCLEUS BOUND STATES. Chinese Physics C, 1990, 14(12): 1096-1102.
[10]	LING You-Guang , QIU Zhi-Hong . BOUND STATES OF ETA-²⁴Mg AND ETA-³²S. Chinese Physics C, 1989, 13(11): 1017-1022.
[11]	LI Yuan-Jie . THE BOUND STATES OF A BOSON IN THE FIELD OF KERR-NEWMAN'S NAKED SINGULARITY. Chinese Physics C, 1987, 11(2): 198-201.
[12]	QI Yong-Chang . ON THE SUPERHEAVY FERMION——SO(10) MONOPOLE ZERO-ENERGY BOUND STATES. Chinese Physics C, 1986, 10(5): 545-552.
[13]	WANG Ke-Lin , ZHANG Jian-Zu . BOUND STATE CONDITION OF FERMION AND JULIA-ZEE DYON SYSTEM. Chinese Physics C, 1985, 9(2): 161-167.
[14]	LI Xin-Zhou , WANG Ke-Lin , ZHANG Jian-Zu . A KIND OF JACKIW-REBBI TYPE FERMION-MONOPOLE ZERO-ENERGY BOUND STATES IN AN SO(10) MODEL. Chinese Physics C, 1985, 9(6): 653-659.
[15]	ZHAO Guang-Da . BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS. Chinese Physics C, 1983, 7(3): 323-332.
[16]	JU CHANG-SEN . THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY. Chinese Physics C, 1982, 6(1): 25-29.
[17]	Wang Ming-zhong , Zheng Xi-te , Wang Ke-lin , Xian Ding-chang , Zhang Zheng-gang . ON THE PROBABILITY INTERPRETATION OF THE BOUND STATE WAVE FUNCTION OF THE MESON. Chinese Physics C, 1980, 4(4): 433-439.
[18]	Dai Xian-xi , Huang Fa-yang , Ni Guang-jiong . THE BOUND STATE ENERGY LEVELS OF MONOPOLE PAIR AND OF CHARGED MONOPOLE-ELECTRON SYSTEM—SOME SINGULAR STATE PROBLEMS IN RELATIVISTIC QUANTUM MECHANICS. Chinese Physics C, 1980, 4(3): 313-321.
[19]	Liu Bo , LI Qing-run , Zhao En-guang . THE BOUND STATES OF THE ISOBAR △ (1236). Chinese Physics C, 1980, 4(1): 8-11.
[20]	GAO LUN . FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS. Chinese Physics C, 1978, 2(3): 211-224.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3310)
PDF Downloads(476)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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.