THE <EM>R</EM>(π/2) INVARIANCE OF NUCLEI

GU Jin-Nan

Chinese Physics C> 1986, Vol. 10> Issue(2) : 223-230

THE R(π/2) INVARIANCE OF NUCLEI

GU Jin-Nan ^,

Institute of Modern Physics, Academia Sinica, Lanzhou

Abstract
HTML
Reference
Related

PDF

Abstract：
For the nuclear deformation of λ=2,4,6…, the most important symmetries are axial symmetry and R(π) invariance , but probably there is R(π/2) invariance in some nuclei. In this paper the possible occurrence of this new symmetry is analysed in general. In particular, the condition for the existence of the R(π/2) invariance, wave function of nucleus with R(π/2) invariance and signature-dependent terms in the matrix elements of an operator F are discussed in detail.
These provide an analysis of the experimental data, for example the alternating behavior of level energies and B(E/2) for K^π=0⁺ and K^π=0^－ bands.

References

[1]	A.Bohr, B. R. MotteIson, Nucl. Structure,VII(1975).[2] 顾金南 Proc. of Int. Conf.Nucl. Phys ,(Florence Italy 1983) 121.[3] S G Nilsson et al., Nucl. Phys., A131(1969),1.[4] L K Peter et al. Phys. Rev. Lett.50(1983) 1749.

[1]	LIU Shu-Xin , LEI Yi-An , ZENG Jin-Yan . Review and Comparison of Some Common Used Rotational Spectrum Formulas. Chinese Physics C, 2006, 30(S2): 45-47.
[2]	XU Fu-Rong . High-Spin Excitations of Atomic Nuclei. Chinese Physics C, 2004, 28(S1): 11-15.
[3]	MENG Jie , BAN Shu-Fang , LI Jun , LONG Wen-Hui , LU Hong-Feng , SHEN Gang , ZHANG Shuang-Quan , ZHANG Shi-Sheng , ZHANG Wei , ZHOU Shan-Gui , . New Effective Interactions,New Symmetry and New States in Atomic Nuclei. Chinese Physics C, 2004, 28(12): 1291-1296.
[4]	SUN Bao-Xi , LV Xiao-Fu , SHEN Peng-Nian , ZHAO En-Guang . Effective Photon Mass in Finite Nuclei. Chinese Physics C, 2003, 27(4): 337-340.
[5]	ZHANG Shuang-Quan , MENG Jie , ZHOU Shan-Gui , ZENG Jin-Yan . A New Formula of Nuclear Charge Radii. Chinese Physics C, 2002, 26(3): 252-258.
[6]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[7]	LONG Gui-Lu , SUN Hong-Zhou , ZHAO En-Guang , ZHU Sheng-Jiang , RUAN Dong , LIU Feng-Ying , JI Hua-Ying , LI Yan-Song , YAN Hai-Yang , TU Chang-Cun , ZHANG Wei-Lin , Pak Jae-Yon , . Some Recent Development in Nuclear Structure Studies. Chinese Physics C, 2000, 24(S1): 38-44.
[8]	Bian Jianguo . Discussion on the Translational Invariance of the Quark and Mixed Condensates. Chinese Physics C, 1994, 18(6): 534-540.
[9]	SHEN Jun-Feng , ZHANG Yu-Shun . α-Nucleus Scattering at High Energies. Chinese Physics C, 1991, 15(8): 730-736.
[10]	JIANG Huan-Qing . μ^－ CAPTURE IN NUCLEI. Chinese Physics C, 1990, 14(6): 532-536.
[11]	TANG Xiao-Wei . ON THE SPONTANEOUS PION EMISSION BY HEAVY NUCLEI. Chinese Physics C, 1988, 12(5): 584-586.
[12]	HUANG Tao , XIE Yi-Cheng . A PHYSICAL CONSEQUENCE OF THE GAUGE INVARIANCE IN THE PROCESS π⁰→γγ. Chinese Physics C, 1985, 9(4): 437-441.
[13]	SHI Xiang-Jun . STUDY ON BINDING PROBLEM OF Δ(1232) IN NUCLEI WITH HARTREE-FOCK METHOD. Chinese Physics C, 1983, 7(1): 76-85.
[14]	WANG Ru-Lin . THE OSCILLATION IN NUCLEI. Chinese Physics C, 1983, 7(2): 262-264.
[15]	ZHANG YU-SHUN , LIU XIAN-HUI , LI YANG-GUO , HE ZUO-XIU . J PARTICLE-NUCLEUS SCATTEIUNG. Chinese Physics C, 1981, 5(4): 458-464.
[16]	HU JI-MIN . A CONTINUOUS MEDIUM MODEL OF ATOMIC NUCLEI. Chinese Physics C, 1981, 5(2): 244-254.
[17]	Wu Xi-zhen , Zhang Xi-zhen , Zhuo Yi-zhong , Feng Ren-fa . VELOCITY CURRENT DISTRIBUTION FOR FAST ROTATION NUCLEI. Chinese Physics C, 1980, 4(6): 752-760.
[18]	Zheng Jin-yan , Cheng Tan-sheng , Yang Fu-jia . FURTHER STUDY ON NUCLEAR MASS FORMULA. Chinese Physics C, 1980, 4(5): 632-639.
[19]	ZHAO EN-GUANG , LIU BO , LI QING-RUN . THE ISOBAR CONFIGURATION IN NUCLEI AND ITS INFLUENCE ON THE REACTION （p,π⁺）. Chinese Physics C, 1979, 3(6): 708-715.
[20]	WANG ZHENG-DA , GU JIN-NAN , YU CHAO-FAN , LUO SHI-YU . INTRODUCTION OF THE CONCEPT OF THE DEPAIRING PROBABILITY TO EXPLORE NUCLEAR HIGH SPIN STATES. Chinese Physics C, 1979, 3(3): 348-354.

Access

Get Citation

GU Jin-Nan. THE R(π/2) INVARIANCE OF NUCLEI[J]. Chinese Physics C, 1986, 10(2): 223-230.

GU Jin-Nan. THE R(π/2) INVARIANCE OF NUCLEI[J]. Chinese Physics C, 1986, 10(2): 223-230. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3441)
PDF Downloads(452)
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 R(π/2) INVARIANCE OF NUCLEI

GU Jin-Nan ^,

Corresponding author: GU Jin-Nan,

Institute of Modern Physics, Academia Sinica, Lanzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-04-05

Abstract: For the nuclear deformation of λ=2,4,6…, the most important symmetries are axial symmetry and R(π) invariance , but probably there is R(π/2) invariance in some nuclei. In this paper the possible occurrence of this new symmetry is analysed in general. In particular, the condition for the existence of the R(π/2) invariance, wave function of nucleus with R(π/2) invariance and signature-dependent terms in the matrix elements of an operator F are discussed in detail.
These provide an analysis of the experimental data, for example the alternating behavior of level energies and B(E/2) for K^π=0⁺ and K^π=0^－ bands.