AN UNIFIED DESCRIPTION OF THE α-CLUSTERING AND COLLECTIVE EXCITATIONS IN HEAVY EVEN-EVEN NUCLEI

WU Hua-Chuan

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2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(5) : 605-612

AN UNIFIED DESCRIPTION OF THE α-CLUSTERING AND COLLECTIVE EXCITATIONS IN HEAVY EVEN-EVEN NUCLEI

WU Hua-Chuan ^,

Suzhou University

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Abstract：
In this paper, an algebraic model, U(6)×U(11), is proposed for an unified description of the quadrupole-collective motion, the α-clustering and the octupole vibration. The model's three dynamical symmetries: SU(5), SU(3) and SO(6) are given. The spe ctrum of the SU(5) limit is calculated and compared with the experimental data of the nucleus ²¹⁸Ra.

References

[1]

A. Arima et al. "Advances in Nuclear Physics'Vol. 5, (Plenum, New York, 1972) .[2] E. Roeckl, Nucl. Phys., A400(1983), 131c.[3] P. Hornshj et al., Nucl. Phys., A230(1974), 365.[4] M. Gai et al., Phys. Rev. Lett., 51(1983) , 646.[5] R: Piepenbring, Phys. Rev., C27 (1983), 2968.[6] C. M. Lederer, V. S. Shirley, "Tables of Isotopes", 7th ed. (Wiley, New York, 1978).[7] F. Iachello A. D. Jackson, Phys. Lett., 108B(1982), 151.[8] L. K. Peker, J. H. Hamiltonian, J. O. Rasmussen, Phys. Rev., C24(1981), 1336[9] 顾金南等, “第六次全国核物理会议论文集”, p. 75, 1 989.[10] A. Arima, F. Iachello, Ann.Phys. (N. Y.), a) 99(1976), 253; b) 111(1978) 201; c) 123 (1979), 468.[11] F. Iachello, Phys. Rev., C23 (1981), 2778.[12] R. Wybourne, "Classical Groups for Physicists", (Wiley, New York, 1974).[13] R. Gilmore,"Lie Groups, Lie Algebra and Some of Their Applications" (Whey, New York, 1974).[14] M. Hamermesh, "Group Theory and Its Applications to Problems" (Addison-Wesley, Reading, 1962).[15] M. Fischler, J. Math. Phys., 22(1981), 637.[16] H. Deley and F. Iachello, Phys. Lett., 131B(1983), 281.[17] F. Iachello, Nucl. Phys., A421(1984), 97c.[18] J. Dukelsky et al., Phys. Rev., C28(1983), 2183.

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WU Hua-Chuan. AN UNIFIED DESCRIPTION OF THE α-CLUSTERING AND COLLECTIVE EXCITATIONS IN HEAVY EVEN-EVEN NUCLEI[J]. Chinese Physics C, 1986, 10(5): 605-612.

WU Hua-Chuan. AN UNIFIED DESCRIPTION OF THE α-CLUSTERING AND COLLECTIVE EXCITATIONS IN HEAVY EVEN-EVEN NUCLEI[J]. Chinese Physics C, 1986, 10(5): 605-612. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

AN UNIFIED DESCRIPTION OF THE α-CLUSTERING AND COLLECTIVE EXCITATIONS IN HEAVY EVEN-EVEN NUCLEI

WU Hua-Chuan ^,

Corresponding author: WU Hua-Chuan,

Suzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-10-05

Abstract: In this paper, an algebraic model, U(6)×U(11), is proposed for an unified description of the quadrupole-collective motion, the α-clustering and the octupole vibration. The model's three dynamical symmetries: SU(5), SU(3) and SO(6) are given. The spe ctrum of the SU(5) limit is calculated and compared with the experimental data of the nucleus ²¹⁸Ra.