Chinese Physics C > 2003, Vol. 27 > Issue(11): 1005-1008

Radial Equation of Bound State and Binding Energies of Ξ^－Hypernuclei

CAI Chong-Hai^,,
LI Lei

Institute of Physics, Nankai University, Tianjin 300071, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The radial equation in its standard form, which can be solved by using the threepoint central difference method from central two points towards outside point by point, is reduced from Schrodinger equation or from the low energy approximation of Dirac equation. In this paper, a method for solving the radial equation of the bound state to get the binding energy and the radial wave function is given, and the binding energies of the ground state (GS) of several Ξ ^－hypernuclei are calculated.

References

[1]	ZHANG Z J et al. High Eng. Phys. Nucl. Phys., 2002, 26(6) : 319(in Chinese)(张正军等.高能物理与核物理,2002,26(6) :319)2 Lalazissis G A, Grypeos M E, Massen S E. J. Phys., 1989, G15:303 3 Gibson B F, Hungerford Ⅲ E V. Phys. Rep., 1995,257:3494 Schaffiner J et al. Ann. Phys., 1994, 235:35

[1]	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.
[2]	YAN Mu-Lin. X(1835) as Proton-Antiproton Bound State in Skyrme Model. Chinese Physics C, 2006, 30(11): 1141-1150.
[3]	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.
[4]	CHEN Jiao-Kai,FANG Zhen-Yun,HU Bing-Quan,ZHANG Zhao-Xi. Spectroscopy for the Bound States of a Top Squark (t) and a Heavy Quark. Chinese Physics C, 2002, 26(8): 766-772.
[5]	Liu Xianhui,Chen Zitao. Investigation of Hypernucleus_Λ⁵He Structure and the Calculation of the Binding Energy. Chinese Physics C, 1999, 23(4): 380-387.
[6]	Yang Chunbin,Cai Xu. 0^－Heavy Meson Bound States at Heavy Quark Expansion. Chinese Physics C, 1995, 19(4): 327-331.
[7]	ZHANG Shiwei,WANG Renchuan. The Quantum Bound States Around the JBD Straight Cosmic String. Chinese Physics C, 1993, 17(11): 1016-1020.
[8]	JIANG Huanqing,ZHANG Weifeng. η_c-Nuclear Bound States. Chinese Physics C, 1993, 17(11): 1021-1025.
[9]	CAI Rong-Gen,CHEN Zhi-Jian. The Boson Bound States in the Higher Dimensional Kerr Metric. Chinese Physics C, 1991, 15(5): 420-426.
[10]	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.
[11]	LING You-Guang,QIU Zhi-Hong. BOUND STATES OF ETA-²⁴Mg AND ETA-³²S. Chinese Physics C, 1989, 13(11): 1017-1022.
[12]	DONG Yu-Bing,SU Jun-Chen. BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA. Chinese Physics C, 1989, 13(11): 1007-1016.
[13]	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.
[14]	QI Yong-Chang. ON THE SUPERHEAVY FERMION——SO(10) MONOPOLE ZERO-ENERGY BOUND STATES. Chinese Physics C, 1986, 10(5): 545-552.
[15]	YUAN Zhu-Shu,CHEN Zhi-Qing,SUN Yao-De,QIU Zhi-Hong.Λ-αEFFECTIVE INTERACTION AND THE BINDING ENERGY OF^9_ΛBe GROUND STATE. Chinese Physics C, 1985, 9(6): 765-768.
[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]	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.
[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

CAI Chong-Hai and LI Lei. Radial Equation of Bound State and Binding Energies of Ξ ^－Hypernuclei[J]. Chinese Physics C, 2003, 27(11): 1005-1008.

CAI Chong-Hai and LI Lei. Radial Equation of Bound State and Binding Energies of Ξ ^－Hypernuclei[J]. Chinese Physics C, 2003, 27(11): 1005-1008. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-03-11
Revised: 1900-01-01

Article Metric

Article Views(4254)
PDF Downloads(561)
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

Radial Equation of Bound State and Binding Energies of Ξ^－Hypernuclei

CAI Chong-Hai^,
LI Lei

Corresponding author:CAI Chong-Hai,

Institute of Physics, Nankai University, Tianjin 300071, China

Received Date:2003-03-11
Accepted Date:1900-01-01
Available Online:2003-11-05

Abstract:The radial equation in its standard form, which can be solved by using the threepoint central difference method from central two points towards outside point by point, is reduced from Schrodinger equation or from the low energy approximation of Dirac equation. In this paper, a method for solving the radial equation of the bound state to get the binding energy and the radial wave function is given, and the binding energies of the ground state (GS) of several Ξ^－hypernuclei are calculated.