Chinese Physics C > 1980, Vol. 4 > Issue(4): 478-492

ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

Sun Hong-zhou

Peking University

Abstract
HTML
Reference
Related

PDF

Abstract：
With the help of the commutation relations of the creation and annihilation opera-tors, the wave functions for the nuclear quadruple oscillations are discussed. An ex-plicit expression for the phonon wave functions constructed according to the groupchain U ₅ R ₅ SU ₂× SU ₂' and some of their important relations are given. Theunitary transformation loefficiens from the basis mentioned above to the one construe-ted according to the group chain U ₅ R ₅ R ₃ are also discussed. A formula for thetransformation coefficients is given. In this paper, a general formula of the multiplicity factor for given angular mo-mentum quantum number I and seniority number Pis derived and a table of the PandI values for P≤30 is given.

References

[1]	B. F. Bayman, Some Lectures on Group and Their Application to Spectroscopy, Nordita, 1960.[2] T. Hecht, Nucl. Phys., 63(1965).117.[3] A .Arima and F. Iachllo, Ann. Phys., 99(1976), 253.[4] J. Weber et al., Z. Physik, 190(1966),25.[5] N. Kemmer et al. J. Math. Phys., 9(1968), 1224, 1230.

[1]	GAO Yong-Hua,DUAN Chun-Gui,HOU Zhao-Yu,HE Zhen-Min. Nuclear Density Empicical Formula of the Nucleus and the Nuclear Effect of the Nucleon Structure Function. Chinese Physics C, 2004, 28(3): 290-293.
[2]	LIU Shu-Xin,YU Lei,LEI Yi-An,ZENG Jin-Yan. Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei. Chinese Physics C, 2001, 25(1): 37-43.
[3]	Ren Jianglong,Ding Linkai. Calculation of Cross-Section and Distribution of Number of Wounded Nucleons in High Energy Hadron-Nucleus Inelastic Collision. Chinese Physics C, 1996, 20(2): 119-123.
[4]	Hu Jimin,Xu Furong,Zheng Chunkai. Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei. Chinese Physics C, 1996, 20(1): 76-84.
[5]	Xu Furong,Hu Jimin,Zheng Chunkai. The Vibrational and Rotational Motions Model of Nucleus(Ⅲ) Study of Superdeformed Bands inA～190 Region. Chinese Physics C, 1996, 20(6): 554-562.
[6]	Hu Jimin,Xu Furong,Zheng Chunkai. Vibrational and Rotational Motions Model of Nucleus (Ⅱ) Analyses of Normal Bands of OddANuclei. Chinese Physics C, 1996, 20(3): 259-264.
[7]	LIU Yu-Xin,LONG Gui-Lu,SUN Hong-Zhou. Staggering Phenomenon in Nuclear Energy Spectrum and Quadrupole-Quadrupole Interaction. Chinese Physics C, 1991, 15(3): 245-250.
[8]	CHEN Jun-Feng,HE Ze-Jun. THE CHARACTERISTIC DILEPTON MASS DISTRIBUTION FROM HOT QUARK MATTER IN ULTRARELATIVISTIC NUCLEUS-NUCLEUS COLLISIONS. Chinese Physics C, 1990, 14(4): 359-365.
[9]	JIANG Huan-Qing. μ^－CAPTURE IN NUCLEI. Chinese Physics C, 1990, 14(6): 532-536.
[10]	WENG Zhi-Qun,XIA You-Lin,LIANG Lu. OBSERVATION AND MEASUREMENT OF An EVENT OF A 14.6A GeV OXYGEN NUCLEUS INTO FOUR HELIUM NUCLEI AND EXPLANTION OF THE MECHANISM. Chinese Physics C, 1990, 14(4): 337-339.
[11]	CAO Zhi-Jun,SHEN Jian-Ping,LI Guang-Lie. THE ROLE OF NUCLEON-NUCLEON SHORT-RANGE CORRELATIONS IN THE UNCLEAR STRUCTURE FUNCTION IN THE X>1 REGION. Chinese Physics C, 1989, 13(10): 924-929.
[12]	MA Bo-Qiang,SUN Ji. DIFFERENT TREATMENTS OF NUCLEAR BINDING EFFECT IN DEEP INELASTIC LEPTON NUCLEUS SCATTERING. Chinese Physics C, 1988, 12(6): 786-792.
[13]	PENG Tie-Liang,LI Zi-Bang,PENG Hong-An. THE INFLUENCE OF EMC EFFECT ON LEPTON PAIR PRODUCTION OF HIGH ENERGY HADRON-NUCLEI COLLISION. Chinese Physics C, 1986, 10(4): 438-445.
[14]	ZHAO Guang-Da. BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS. Chinese Physics C, 1983, 7(3): 323-332.
[15]	HOU Ren-Chang,ZHAO Xuan. QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING. Chinese Physics C, 1983, 7(2): 236-244.
[16]	LIU Xian-Hui,LI Yang-Guo. QUADRUPOLE TRANSITION WITH π-NUCLEUS DOUBLE CHARGE EXCHANGE. Chinese Physics C, 1983, 7(2): 197-202.
[17]	ZHUO YI-ZHONG,SA BEN-HAO. QCD PERTURBATION THEORY AND NUCLEI (1) THE ENERGY SHIFTS OF HADRENS AND HADRONS MASS DIFFERENCE MASS DIFFERENCE. Chinese Physics C, 1982, 6(1): 69-76.
[18]	Shen Jian-ping,Zhang Zong-ye. THE EFFECTS INDUCED BY AΛHYPERON ON THE PAIRING CORRELATION IN NUCLEUS. Chinese Physics C, 1980, 4(1): 43-48.
[19]	Sa Ben-hao,Zhang Xi-zhen,Li Zhu-xia,Shi Yi-jin. A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[20]	YANG ZE-SEN,ZHONG YU-SHU,QI HUI,YANG LI-MING. A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM. Chinese Physics C, 1978, 2(2): 158-167.

Access

Get Citation

Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS[J]. Chinese Physics C, 1980, 4(4): 478-492.

Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS[J]. Chinese Physics C, 1980, 4(4): 478-492. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-07-24
Revised: 1900-01-01

Article Metric

Article Views(2956)
PDF Downloads(341)
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 WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

Sun Hong-zhou

Peking University

Received Date:1978-07-24
Accepted Date:1900-01-01
Available Online:1980-08-05

Abstract:With the help of the commutation relations of the creation and annihilation opera-tors, the wave functions for the nuclear quadruple oscillations are discussed. An ex-plicit expression for the phonon wave functions constructed according to the groupchainU₅R₅SU₂×SU₂' and some of their important relations are given. Theunitary transformation loefficiens from the basis mentioned above to the one construe-ted according to the group chainU₅R₅R₃are also discussed. A formula for thetransformation coefficients is given. In this paper, a general formula of the multiplicity factor for given angular mo-mentum quantum number I and seniority numberPis derived and a table of thePandI values forP≤30 is given.