Chinese Physics C > 1985, Vol. 9 > Issue(3): 367-370

EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE

YAN Jun-Hu^,

Neimenggu University

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, the motion for the spin one half particles with arbitrary isospin in the field of a't Hooft-Polyakov magnetic monopole (in the Prasad-Sommerfield limit) is studied by the method of the moving frame. An exact solution of the Pauli equation for the total angular momentum J=0 and isospin I=1/2 is presented. The question of Proton decay catalysis is briefly discussed.

References

[1]

B. Cabrera, Phys. Rev. Lett., 48(1982), 1378.[2] V. A. Rubakov, Nucl. Phys., B203( 1982), 31 1.[3] C. G. Cllan, Phys. Rev., D25 (1982), 2141.[4] Tang. J. F., Phys. Rev. D26 (1982), 510; A. S. Blaer, N. H. Christ and Tang. J. F., Phys. Rev.Lett., 47(1981), 1364; Phys. Rev., D25(1982 ), 2128.[5] W. J. Marciano and I. J. Muzinich., Phys. Rev. Lett., 50(1983), 1035.[6] S. D. Drell, N. M. KtoII, M. T. -Muer, S. J. Parke and M. A. Ruderman, Phys. Rev. Lett., 50(1983), 644.[7] M. K. Prasad and C. M. Sommerfidd, Phys. Rw. Lett., 35(1975), 760.[8] 侯伯宇、侯伯元, 高能物理与核物戳3(1979), 697; 侯伯宇, 物理学报, 19(1963), 341.

[1]	Dzung Tri Tran,Khiem Hong Phan. One-loop formulas forH→Zν_lν_lforl=e,µ,τin 't Hooft-Veltman gauge. Chinese Physics C, 2023, 47(5): 053106.doi:10.1088/1674-1137/acc1cf
[2]	ZHANG Ai-Ping,QIANG Wen-Chao. Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[3]	ZHU Yue-Feng,LI Yu-Lan,Wong Henry,LI Jin,Lin Shin-Ted. Energy & Position Reconstruction on CsI(T1) Scintillator Detector Array in TEXONO Experiment. Chinese Physics C, 2005, 29(3): 288-294.
[4]	LI Kang,WANG Jian-Hua. Green Function Solution to the Doublet Potential Equations of the Moving Dyons. Chinese Physics C, 2005, 29(8): 731-735.
[5]	ZHANG Gao-Long,YE Yan-Lin,JIANG Dong-Xing,ZHENG Tao,LI Zhi-Huan,LI Xiang-Qing,WU Cui-E,CHEN Zhi-Qiang,HU Qing-Yuan,PANG Dan-Yang,WANG Jia. Experimental Study of the t+t Structure in 6He. Chinese Physics C, 2005, 29(10): 940-943.
[6]	BAI Hua,YAN Mo-Lin. Generalize 't Hooft's Quantum State of the Black Hole Theory. Chinese Physics C, 2005, 29(12): 1136-1141.
[7]	LI Jin,LIU Yan,ZHAO Di-Xin,MAO Ze-Pu,QIU Jin-Fa,XIA Xiao-Mi,LAI Yuan-Fen,SHENG Hua-Yi,WANG Pei-Liang,ZHUANG Bao-An,ZHAO Ping-Ping,SHI Feng,YUE Qian,,,,. The CsI(T1) Crystal Detector in TEXONO Low Energy Neutrino Experiment. Chinese Physics C, 2002, 26(4): 393-401.
[8]	YANG ZhanYing,ZHAO Liu,ZHEN Yi. Exact Solution of Super Liouville Model. Chinese Physics C, 2000, 24(2): 91-97.
[9]	Wang Xuelei,Guo Libo,Xiao Zhenjun,Yang Jinmin,Lu Gongru. The Virtual Effects of Pseudo Goldstone Bosons in Technicolor Theory on t→W'b Decay. Chinese Physics C, 1994, 18(12): 1086-1090.
[10]	XIAO Zhen-Jun,LU Gong-Ru,XUE Xiao-Zhou. The't Hooft Anomaly Matching condition in. Chinese Physics C, 1992, 16(3): 208-211.
[11]	LI Yuan-Jie. RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[12]	XUE She-Sheng. A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[13]	XU Bo-Wei. VACUUM SOLUTIONS OF CONFORMALLY COVARIANT EQUATION FOR SYMMETRIC TENSOR FIELD. Chinese Physics C, 1985, 9(2): 241-243.
[14]	ZENG Bao-Sheng,HUANG Qing,GONG Xue-Hui. MESON AND DI-QUARK CONTRIBUTION TOR(σ_L/σ_T) IN DEEP INELASTIC SCATTERING. Chinese Physics C, 1984, 8(2): 235-240.
[15]	PENG SHOU-LI,ZHAO SHU-SONG. GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM. Chinese Physics C, 1981, 5(1): 47-54.
[16]	HAN HUI-YI,ZHEN CHANG-YIN,GENG TIAN-MING,WU HUI-FANG. EIGEN SOLUTION OF B-T EQUATION FOR COMPLEX SQUARE POTENTIAL WELL. Chinese Physics C, 1981, 5(6): 648-652.
[17]	Tao Fu-zhen,Yao Qi-yuan,Ou Zhi,He Zhi-qiang. THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION INSU(2) GAUGE FIELD THEORY. Chinese Physics C, 1980, 4(2): 179-185.
[18]	LI ZI-PING. APPROXIMATE SEQUENCE FORU（t,t₀）-OPERATOR. Chinese Physics C, 1979, 3(4): 511-517.
[19]	Wang Ming-chung,Cheng Hsi-the,Wang Ke-lin,Chang Cheng-kang,Hsien Ting-chang. SPINOR MONOPOLE SOLUTION IS POSSIBLE. Chinese Physics C, 1978, 2(1): 35-41.
[20]	WU YONG-SHI,CHEN SHIH,TU TUNG-SHENG,GUO HAN-YING. DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OFSU₂&SO₃GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

Access

Get Citation

YAN Jun-Hu. EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE[J]. Chinese Physics C, 1985, 9(3): 367-370.

YAN Jun-Hu. EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE[J]. Chinese Physics C, 1985, 9(3): 367-370. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3269)
PDF Downloads(437)
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

EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE

YAN Jun-Hu^,

Corresponding author:YAN Jun-Hu,

Neimenggu University

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1985-06-05

Abstract:In this paper, the motion for the spin one half particles with arbitrary isospin in the field of a't Hooft-Polyakov magnetic monopole (in the Prasad-Sommerfield limit) is studied by the method of the moving frame. An exact solution of the Pauli equation for the total angular momentumJ=0 and isospinI=1/2 is presented. The question of Proton decay catalysis is briefly discussed.