ON THE PROBABILITY INTERPRETATION OF THE BOUND STATE WAVE FUNCTION OF THE MESON

Wang Ming-zhong; Zheng Xi-te; Wang Ke-lin; Xian Ding-chang; Zhang Zheng-gang

Chinese Physics C> 1980, Vol. 4> Issue(4) : 433-439

ON THE PROBABILITY INTERPRETATION OF THE BOUND STATE WAVE FUNCTION OF THE MESON

Abstract
HTML
Reference
Related

PDF

Abstract：
The probability interpretation of the bound state meson wave functions is discussed by taking the O- meson wave function solved for the nearly flat bottom potential asan example. On the one hand, given a probability amplitude sense to the three dimen-sional wave function of the meson in the configuration space obtained under the equaltime limit of the four dimensional covariant wave functional solved from the B-S equal-tion, the averaged radius<r²> of the meson can be calculated. On the other hand, theelectromagnetic average radius <r²> is evaluated from the slope at the origin of thespace-like electromagnetic form factor of the meson calculated directly from the fourdimensional B-S wave function. The two averaged values are compared and turn outto be in good coincidence (except for the case of scalar coupling, in which the differenceis about 30%). This shows that though the four dimensional B-S wave function doesnot possess a definite sense of probability amplitude, nevertheless, it might be plausibleto give such a sense to the three dimensional configuration space wave function of themeson obtained from the four dimensional one under the equal time limit.

References

[1]	中国科学院原子能研究所基本粒子理论组,原子能,3(1966),137.[2] 冼鼎昌、郑希特、王明中、汪克林、章正刚,物理学报,27(1978), 94,[3] 王明中、郑希特、冼鼎昌、汪克林、章正刚,高能物理与核物理,1(1977),7.[4] 王明中、郑希特、汪克林、冼鼎昌、章正刚,高能物理与核物理,3(1979),572,[5] D. R. Yennie, M. M. Levy and D. G. Ravenhall, Rev. Mod. Phys., 29 (1957), 144.

[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]	HOU Chun-Feng , GUO Ru-Hai , SUN Xiu-Dong . Energy Levels and Electron Wave-Functions of a Type of Lens-Shaped Artificial Atom. Chinese Physics C, 2005, 29(3): 325-328.
[4]	WANG QingHai , RUAN TuNan . Covariant Wave Functions of Integral Spin Particles. Chinese Physics C, 2000, 24(9): 797-804.
[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]	ZHANG Shiwei , WANG Renchuan . The Quantum Bound States Around the JBD Straight Cosmic String. Chinese Physics C, 1993, 17(11): 1016-1020.
[7]	DUAN Yi-Wu , WU Wei-Ping , BAO Cheng-Guang , AN Wei-Ke . The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems. Chinese Physics C, 1991, 15(1): 42-45.
[8]	LIU Ji-Feng , SHEN Jian-Ping , LI Guang-Lie . A PROBABLE EXPLANATION OF THE ⁵He OVERBINDING PROBLEM. Chinese Physics C, 1989, 13(9): 814-821.
[9]	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.
[10]	QI Yong-Chang . ON THE SUPERHEAVY FERMION——SO(10) MONOPOLE ZERO-ENERGY BOUND STATES. Chinese Physics C, 1986, 10(5): 545-552.
[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]	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.
[13]	SONG Xiao-Tong , CHING Cheng-Rui , HO Tso-Hsiu . APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES. Chinese Physics C, 1984, 8(5): 531-538.
[14]	GOU Liang , HUANG Tao . PROTON DECAY RATE AND THE PROTON WAVEFUNCTION. Chinese Physics C, 1984, 8(1): 45-51.
[15]	ZHANG JIAN-ZU . THE UNIFIED EXPLANATION OF MESON MASS SPECTRUM. Chinese Physics C, 1983, 7(6): 688-693.
[16]	ZHAO Guang-Da . BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS. Chinese Physics C, 1983, 7(3): 323-332.
[17]	JU CHANG-SEN . THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY. Chinese Physics C, 1982, 6(1): 25-29.
[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]	Liu Bo , LI Qing-run , Zhao En-guang . THE BOUND STATES OF THE ISOBAR △ (1236). Chinese Physics C, 1980, 4(1): 8-11.
[20]	CHEN JIN-QUAN , GAO MEI-JUAN , WANG FAN . ON THE PHASE AND THE REPRESENTATION TRANSFORMATIONS OF SU_n BARYON AND MESON WAVE FUNCTIONS. Chinese Physics C, 1979, 3(4): 408-417.

Access

Get Citation

Wang Ming-zhong, Zheng Xi-te, Wang Ke-lin, Xian Ding-chang and Zhang Zheng-gang. ON THE PROBABILITY INTERPRETATION OF THE BOUND STATE WAVE FUNCTION OF THE MESON[J]. Chinese Physics C, 1980, 4(4): 433-439.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-03-20
Revised: 1900-01-01

Article Metric

Article Views(2276)
PDF Downloads(323)
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

ON THE PROBABILITY INTERPRETATION OF THE BOUND STATE WAVE FUNCTION OF THE MESON

Received Date: 1979-03-20
Accepted Date: 1900-01-01
Available Online: 1980-08-05

Abstract: The probability interpretation of the bound state meson wave functions is discussed by taking the O- meson wave function solved for the nearly flat bottom potential asan example. On the one hand, given a probability amplitude sense to the three dimen-sional wave function of the meson in the configuration space obtained under the equaltime limit of the four dimensional covariant wave functional solved from the B-S equal-tion, the averaged radius<r²> of the meson can be calculated. On the other hand, theelectromagnetic average radius <r²> is evaluated from the slope at the origin of thespace-like electromagnetic form factor of the meson calculated directly from the fourdimensional B-S wave function. The two averaged values are compared and turn outto be in good coincidence (except for the case of scalar coupling, in which the differenceis about 30%). This shows that though the four dimensional B-S wave function doesnot possess a definite sense of probability amplitude, nevertheless, it might be plausibleto give such a sense to the three dimensional configuration space wave function of themeson obtained from the four dimensional one under the equal time limit.