THE HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL

ZHOU Yuan-Hai; JIANG De-Sun; QIAN Wen-Jia; GONG Xue-Hui

Chinese Physics C> 1987, Vol. 11> Issue(2) : 202-207

THE HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL

Abstract
HTML
Reference
Related

PDF

Abstract：
The heavy quarkonium spectra were discussed with a confinement potential of the form V_c(r)=1/2kr²+λr⁴ by using the Hypervirial Pade Approach. With choice of suitable parameters, we calculated the binding energy levels of cc and bb systems which provide good agreement with the experimental values.

References

[1]

E. Eichten et al., Phys. Rev., D1.7(1980), 3090; Phys. Rev.,D21(1980), 203.[2] M. Machacek and Y. Tomozawa., Prog. Theor. Phys., 58(1977), 1890.[3] M. Machacek and Y. Tomozawa; Ann. Phys., (N.Y)110(1978), 407.[4] J. L. Richardson, Phys. Lets., 82B(1979), 272; R. Levine and Y. Tomozawa. Phys. Rev, D21(1980), 840;G. Bhanot and S. Rudaz., Phys. Lett., 78B(1978), 119.[5] S. Graffi and V. Grecchi, J. Math. Phys., 19(1978), 1022.[6] J. O. Hirschfelder, J. Chem. Phys., 33(1960), 1462.[7] J. Killingbeck, Phys. Lett., 65LA(1978), 87.[8] Baker. G.A, Jr and Peter. Graves-mortis (1981) Pade Approximants Part 1:Basic theory Addison Wesley Publishing Company.[9] 宋行长, 强子结构讨论会文集, 158(1980, 武汉).[10] J. P. Killingbeck (1983) Microcomputer. Quantum mechanics. Adam. Hilger. Ltd Bristol.

[1]	XU Qiang , ZHU Sheng-Jiang . Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator. Chinese Physics C, 2007, 31(3): 251-257.
[2]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-scale Perturbation Theory of Sextic Anharmonic Oscillator. Chinese Physics C, 2006, 30(6): 513-516.
[3]	ZHOU Hai-Qing , ZOU Bing-Song . Relativistic Effects in Two-Photon Decay of Quarkonium. Chinese Physics C, 2005, 29(6): 555-560.
[4]	An Nan , YANG Xin-E . Calculation and Generalization of Non-Adiabatic Geometric Phase of Isotonic Oscillator with Operator Decomposition. Chinese Physics C, 2005, 29(4): 350-353.
[5]	WANG Peng , WANG Shun-Jin . Analytic Exact Solution of One-Dimentional Nonautonomous Classical Harmonic Oscillator. Chinese Physics C, 2005, 29(7): 651-656.
[6]	WANG Zhong-Qing , ZHOU Ping , ZHU Lian-Xuan , DAI Hong-Ying . Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties. Chinese Physics C, 2004, 28(4): 365-369.
[7]	WANG Ji-Suo , FENG Jian , LIU Tang-Kun , ZHAN Ming-Sheng . Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2002, 26(6): 569-575.
[8]	WANG Zhong-Qing . Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 2001, 25(10): 964-970.
[9]	WANG Zhong-Qing . Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States. Chinese Physics C, 2001, 25(12): 1158-1164.
[10]	WANG Zhong-Qing . Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator. Chinese Physics C, 2001, 25(11): 1044-1050.
[11]	WANG Ji-Suo , LIU Tang-Kun , ZHAN Ming-Sheng . Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2001, 25(1): 11-15.
[12]	WANG JiSuo , LIU TangKun , ZHAN MingSheng . Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing. Chinese Physics C, 2000, 24(12): 1115-1122.
[13]	Yang Jianjun , Li Guanglie , Huang Tao , Shen Hongqing . Nonperturbative QCD Corrections to One-Gluon Exchange Quark Potentials Under Lorentz Gauge Condition. Chinese Physics C, 1999, 23(7): 665-680.
[14]	Yao Xiaoxia , Zhang Xiaofei , Qiao Congfeng , Zhao Weiqin . Charmonium Production and Absorption in P－A and A－A Collision. Chinese Physics C, 1999, 23(3): 268-280.
[15]	Chao Weiqin , Liu Bo . Transverse Energy Dependence of Yield of Charmonium Production in Relativistic Heavy Ion Collisions. Chinese Physics C, 1995, 19(1): 49-52.
[16]	Liu Bo , Zhao Weiqin . Contribution Due to Gluon Shadowing and Final-State Interactions to Charmonium/Bottonium Suppression in h-A Collisions. Chinese Physics C, 1994, 18(5): 443-447.
[17]	YANG Xian-Jun , FAN Xi-Pei . State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential. Chinese Physics C, 1992, 16(5): 431-438.
[18]	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.
[19]	ZHANG Jing-Ye , ZHONG Ji-Quan , JIAO Dun-Pang , GE Yuan-Xiu , MA Xi-Liang . ON THE νi_13/2PAIR IN EVEN Pt ISOTOPES. Chinese Physics C, 1987, 11(1): 128-132.
[20]	CHU CHUNG-YUAN AN ING , . A MODEL OF THE STRUCTURE OF MESONS WITH A COVARIANT OSCILLATOR POTENTIAL. Chinese Physics C, 1977, 1(1): 47-51.

Access

Get Citation

ZHOU Yuan-Hai, JIANG De-Sun, QIAN Wen-Jia and GONG Xue-Hui. THE HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL[J]. Chinese Physics C, 1987, 11(2): 202-207.

ZHOU Yuan-Hai, JIANG De-Sun, QIAN Wen-Jia and GONG Xue-Hui. THE HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL[J]. Chinese Physics C, 1987, 11(2): 202-207. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2479)
PDF Downloads(500)
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 HEAVY QUARKONIUM SPECTRUM OF ANHARMONIC OSCILLATORS CONFINEMENT POTENTIAL

Corresponding author: ZHOU Yuan-Hai,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-04-05

Abstract: The heavy quarkonium spectra were discussed with a confinement potential of the form V_c(r)=1/2kr²+λr⁴ by using the Hypervirial Pade Approach. With choice of suitable parameters, we calculated the binding energy levels of cc and bb systems which provide good agreement with the experimental values.