SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min; WANG Shun-Jin

Chinese Physics C> 1988, Vol. 12> Issue(4) : 557-567

SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min ^, ,
WANG Shun-Jin

Lanzhou University

Abstract
HTML
Reference
Related

PDF

Abstract：
A new continuous variable representation of the Elliott SU(3) model is given.Based on this representation,a novel approach——the extreme state eigen equation approach is proposed,by which all irreducible representation bases of SU(3) in canonical group chain have been obtained.By virtue of projection operation.the Elliott SU(3) irreducible bases are given.The physics and geometric meaning of this representation is discussed.

References

[1]

J. P.Elliott, Symmetry in Physics (The Macmi113n Press Ltd, 1979).[2] B. G. Wybourne, Classical Groups for Physics (John Wiley, 1974).[3] Howard Georgi, Lie Algebras in Particle Physics (Benjamin, 1982).[4] M. Moshinsky, Group Theory and the Many-Body Problem (Gordon and Breach, 1968).[5] J. P. Elliott, Proc. Roy. Soc., 245(1958), 128, 567; 272(1963), 557.[6] Cheng, Li, Wu,-Da Hauan Feng,Phys. Lett., 168B(1986), 313.[7] Rowe, J. Phys,A. Matb. and, Gen,19(1986),1093.[8] 王顺金，曹建民、徐躬祸，高能物理与核物理，11(1987), 111.[9] 徐躬耦、王顺金、杨亚天，动力学群表示论的生成坐标途径,(特发表).[10] T. J. Nelson, J. Math. Phyt., B(1957)61L7.[11] 陈金全，群表示论的新途径，上海科学技术出版社，(1984), p. 216.[12] M. Beg and M. Rashid, J. Math. Phys., 6(1955), 577.[13] D. Akyeampong and M. Rashid, J. Math. Phys., 18(1972), 1216.[14] M. Harvey, in 'Advances isr Nuclear Physics, Vol. 1, 1959.

[1]	. ³H and ³He nuclei production in a combined thermal and coalescence framework for heavy-ion collisions in the few-GeV energy regime. Chinese Physics C, 2026, 50(1): 014104. doi: 10.1088/1674-1137/ae099a
[2]	Abdel Magied DIAB . Charmed meson structure across crossover from SU(4) Polyakov quark meson model with isospin asymmetry. Chinese Physics C, 2026, 50(1): 013101. doi: 10.1088/1674-1137/ae042d
[3]	Víctor Miguel Banda Guzmán , Rubén Flores-Mendieta , Johann Hernández . Use of SU(3) flavor projection operators to construct baryon-meson scattering amplitudes in the 1/N_c expansion. Chinese Physics C, 2026, 50(2): 1-25.
[4]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[5]	. Double-folding analysis of elastic and inelastic ³He-nucleus scattering at 60 MeV. Chinese Physics C, 2025, 49(11): 114101. doi: 10.1088/1674-1137/ade1cb
[6]	Ulaş Özdem . Unveiling the electromagnetic structure and intrinsic dynamics of spin-3/2 hidden-charm pentaquarks: A comprehensive QCD analysis. Chinese Physics C, 2025, 49(10): 103106. doi: 10.1088/1674-1137/ade95a
[7]	Bo Lan , Qin-Ze Song , Jin-Huan Sheng , Yi Qiao , Ru-Min Wang . Study of χ_cJ (J = 0,1,2) decays to light meson pairs based on SU(3) flavor symmetry/breaking analysis. Chinese Physics C, 2025, 49(12): 123106. doi: 10.1088/1674-1137/adff00
[8]	. SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays. Chinese Physics C, 2025, 49(12): 123101. doi: 10.1088/1674-1137/adf1f1
[9]	Yu-xin Cheng , De-hao Zhao , Yue-yang Shao , Li Gong , Tao Wang , Xiao-shen Kang . SU(3) analysis for B(E2) anomaly. Chinese Physics C, 2025, 49(10): 104105. doi: 10.1088/1674-1137/aded05
[10]	ZHANG Cong , HE Yuan , ZHAO Hong-Wei , ZHANG Sheng-Hu . Multipacting simulation and analysis of a taper quarter wave cavity by using Analyst-PT3P. Chinese Physics C, 2012, 36(4): 362-366. doi: 10.1088/1674-1137/36/4/012
[11]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[12]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[13]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[14]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.
[15]	WANG Man , LI Jin , CUI Xiang-Zong , XIA Xiao-Mi , LAI Yuan-Fen , YAO Xiao-Guang . PROTOTYPE OF END CAP SHOWER COUNTERAND ITS BEAM TEST. Chinese Physics C, 1987, 11(3): 321-326.
[16]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

CAO Jian-Min and WANG Shun-Jin. SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION[J]. Chinese Physics C, 1988, 12(4): 557-567.

CAO Jian-Min and WANG Shun-Jin. SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION[J]. Chinese Physics C, 1988, 12(4): 557-567. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(4404)
PDF Downloads(379)
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

SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min ^,
WANG Shun-Jin

Corresponding author: CAO Jian-Min,

Lanzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-08-05

Abstract: A new continuous variable representation of the Elliott SU(3) model is given.Based on this representation,a novel approach——the extreme state eigen equation approach is proposed,by which all irreducible representation bases of SU(3) in canonical group chain have been obtained.By virtue of projection operation.the Elliott SU(3) irreducible bases are given.The physics and geometric meaning of this representation is discussed.