Chinese Physics C > 1980, Vol. 4 > Issue(1): 1-7

THE RELATIVISTIC DEUTERON WAVE FUNCTION

Abstract
HTML
Reference
Related

PDF

Abstract：
Starting from the Bethe-Slapeter equation, the coupled equations for the bound states of the deuteron may be reduced to the ordinary three dimensional ones and the number of the components of the wave function is decreased by using the approxima-tion of the instantaneous interaction in the center of mass system. The wave functions of the deuteron are expanded in terms of the spherical and the vector spherical har-monics and the radial coupling integral equations are obtained. Some properties of the deuteron wave functions are discussed also. Qualitative estimations indicate that the relative ratio of the probability of Pwave to that of Swave is about the order of(1/2)|( p/ m)| ²

References

[1]	E. E. Salpeter and H. H. Bethe, Phys. Rev., 84(1951), 1232.[2] E. A. Remler, Nucl. Phys., B42(1972), 56.,M.Gourdin, J. Tran Thanh Van, Nuovo Cimento., 18(1960), 443.[3] 北京大学物理系基本粒子理论组，物理学报，25(1976), 316.

[1]	DUAN Chun-Gui,SHI Li-Jie,LI Guang-Lie,YANG Jian-Jun. Nuclear Effects on Polarized Structure Function of Deuteron. Chinese Physics C, 2004, 28(2): 167-170.
[2]	ZHANG Zhao,ZHAO Wei-Qin. Green Function Iterative Solution of Ground State Wave Function for Yukawa Potential. Chinese Physics C, 2003, 27(3): 215-222.
[3]	HAN Yong. Angular Momentum Projection of Cranked PNC Wave Function. Chinese Physics C, 2000, 24(6): 546-553.
[4]	XIAO Jing,RUAN TuNan. Equations and Wave Functions of Integral Spin Particle. Chinese Physics C, 2000, 24(7): 631-635.
[5]	YU YouWen,ZHANG ZongYe,LIU XianHui. Baryon Wave Functions of the System With Strange Quark. Chinese Physics C, 2000, 24(2): 140-145.
[6]	WANG QingHai,RUAN TuNan. Covariant Wave Functions of Integral Spin Particles. Chinese Physics C, 2000, 24(9): 797-804.
[7]	Huang Bowen,Wang Deyun. Energy Levels and Wavefunctions of Effective Screened Potential. Chinese Physics C, 1997, 21(8): 757-762.
[8]	Wu Huifang,Song Changliang. The 2νββ Decay Lifetime and the Shell Model Wavefunction in⁸²Se. Chinese Physics C, 1994, 18(4): 366-370.
[9]	LI Guang-Hua,HE Hui-Yong. Calculating on Wavefunctions of the Ground State Band for the Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1992, 16(3): 278-284.
[10]	WANG Xin-Nian,XIANG Xiao-Dong,HUANG Tao. A DISCUSSION ON THE NON-PERTURBATIVE EFFECTS IN MESON WAVE FUNCTIONS. Chinese Physics C, 1987, 11(4): 567-570.
[11]	SU Ru-Keng,ZHOU Zi-Xiang. THE ENERGY LEVELS AND THE WAVE FUNCTION AT THE ORIGIN IN A NONRELATIVISTIC BINDING POTENTIAL. Chinese Physics C, 1985, 9(5): 625-628.
[12]	GOU Liang,HUANG Tao. PROTON DECAY RATE AND THE PROTON WAVEFUNCTION. Chinese Physics C, 1984, 8(1): 45-51.
[13]	ZHAO Guang-Da. BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS. Chinese Physics C, 1983, 7(3): 323-332.
[14]	JU CHANG-SEN. THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY. Chinese Physics C, 1982, 6(1): 25-29.
[15]	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.
[16]	Zhou Bang-rong. ASYMPTOTIC FREEDOM AND THE WAVE FUNCTIONS AT THE ORIGIN AND THE ENERGY LEVELS OF THE J/ψAND THEY. Chinese Physics C, 1980, 4(1): 93-102.
[17]	Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS. Chinese Physics C, 1980, 4(4): 478-492.
[18]	Huang Chao-shang. THE LARGE MOMENTUM BEHAVIOR OF THE PION WAVE FUNCTION AND THE PION ELECTROMAGNETIC FORM FACTOR. Chinese Physics C, 1980, 4(6): 761-766.
[19]	CHEN JIN-QUAN,GAO MEI-JUAN,WANG FAN. ON THE PHASE AND THE REPRESENTATION TRANSFORMATIONS OF SU_nBARYON AND MESON WAVE FUNCTIONS. Chinese Physics C, 1979, 3(4): 408-417.
[20]	WANG MING-CHUNG,CHENG HSI-THE,HSIEN TING-CHANG,WANG KE-LIN,CHANG CHENG-KANG. THE WAVE FUNCTION OF VECTOR MESON BOUND STATE THROUGH SCALAR COUPLING. Chinese Physics C, 1977, 1(1): 7-18.

Access

Get Citation

Yu You-wen and Wu Hui-fang. THE RELATIVISTIC DEUTERON WAVE FUNCTION[J]. Chinese Physics C, 1980, 4(1): 1-7.

Yu You-wen and Wu Hui-fang. THE RELATIVISTIC DEUTERON WAVE FUNCTION[J]. Chinese Physics C, 1980, 4(1): 1-7. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-08-05
Revised: 1900-01-01

Article Metric

Article Views(2955)
PDF Downloads(318)
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 RELATIVISTIC DEUTERON WAVE FUNCTION

Yu You-wen
Wu Hui-fang

Received Date:1978-08-05
Accepted Date:1900-01-01
Available Online:1980-02-05

Abstract:Starting from the Bethe-Slapeter equation, the coupled equations for the bound states of the deuteron may be reduced to the ordinary three dimensional ones and the number of the components of the wave function is decreased by using the approxima-tion of the instantaneous interaction in the center of mass system. The wave functions of the deuteron are expanded in terms of the spherical and the vector spherical har-monics and the radial coupling integral equations are obtained. Some properties of the deuteron wave functions are discussed also. Qualitative estimations indicate that the relative ratio of the probability ofPwave to that ofSwave is about the order of(1/2)|(p/m)|²