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2024年10月30日

Isospin and mixed symmetry structure in 26Mg

  • The isospin excitation states and electromagnetic transitions of the 26Mg nucleus are studied with the isospin-dependent interacting boson model (IBM-3). The mixed symmetry states at low spin and the main components of the wave function for some states are also analyzed. The results show good agreement with the available experimental data. From the IBM-3 Hamiltonian expressed in Casimir operator form, the 26Mg is also proved to be a transition nuclei from U(5) to SU(3).
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  • [1] SUN Y. Chin. Sci. Bull., 2009, 54(24): 45942 HE Shao-Rong, YANG Tong-Suo, LI Tian-Xiang et al. Chin. Sci. Bull., 2009, 54(20): 37723 SUN Yang, ZHANG Jing-Ye, LONG Gui-Lu, WU Chang- Li. Chin. Sci. Bull., 2009, 54(3): 3584 Sahu R, Kota VKB. Phys. Rev. C, 2003, 67(5): 0543235 Bender M, Flocard H, Heenen P H. Phys. Rev. C, 2003, 68(4): 0443216 LONG Gui-Lu, SUN Yang. Phys. Rev. C, 2001, 65(2): 07127 Caurier E, Nowacki F, Poves A, Phys. Rev. Lett., 2005, 95(4): 0425028 Falih HAK, LI Yan-Son, LONG Gui-Lu. J. Phys. G: Nucl. Part. Phys., 2004, 30: 12879 LUO Yan-An, PAN Feng, NING Ping-Zhi. HEP NP, 2004, 28(S1): 87 (in Chinese)10 ZHANG Yu, HOU Zhan-Feng, LIU Yu-Xin et al. HEP NP, 2006, 30(S2): 90 (in Chinese)11 LEI Yang, XU Zheng-Yu, ZHAO Yu-Min, LU Da-Hai. Sci. Chin. Phys., 2010, 53(8): 146012 Arima A, Iachello F. Ann. Phys. (N. Y.), 1976, 99: 25313 Arima A, Iachello F. Ann. Phys. (N.Y.), 1978, 111: 20114 Arima A, Iachello F. Ann. Phys. (N.Y.), 1979, 123: 46815 LIU Yu-Xin, SONG Jian-Gang, SUN Hong-Zhou, ZHAO En-Guang. Phys. Rev. C, 1997, 56(3): 137016 PAN Feng, DAI Lian-Rong, LUO Yan-An, Draayer J P. Phys. Rev. C, 2003, 68(1): 01430817 Iachello F, Arima A. The Interacting Boson Model. Cambridge University Press, 198718 Elliott J P, White A P. Phys. Lett. B, 1980, 97(2): 16919 Evans J A, LONG Gui-Lu, Elliott J P. Nucl. Phys. A, 1993, 561: 20120 Falih HAK, LI Yan-Song, LONG Gui-Lu. HEP NP, 2004, 28(4): 370 (in Chinese)21 Falih HAK, LONG Gui-Lu. Chin. Phys., 2004, 13(8): 123022 BAI Hong-Bo, ZHANG Jin-Fu, CAOWan-Cang. Commun. Theor. Phys., 2007, 48(6): 106723 L? Li-Jun, Falih HAK, ZHANG Jin-Fu, BAI Hong-Bo. Chin. Phys. C (HEP NP), 2009, 33(S1): 4624 ZHANG Jin-Fu, BAI Hong-Bo. Chin. Phys., 2004, 13(11): 184325 ZHANG Jin-Fu, L? Li-Jun, BAI Hong-Bo. Science in Chin. G, 2008, 51(12): 184526 BAI Hong-Bo, DONG Hong-Fei, ZHANG Jin-Fu. Chin. Phys. C (HEP NP), 2009, 33(S1): 4027 L? Li-Jun, ZHANG Jin-Fu. HEP NP, 2006, 30(2): 128 (in Chinese)28 FAN Ti-Gui, L? Li-Jun, ZHANG Jin-Fu. HEP NP, 2004, 28(S1): 119 (in Chinese)29 LONG Gui-Lu. Chinese J. Nucl. Phys., 1994, 16: 33130 BAI Hong-Bo, ZHANG Jin-Fu, ZHOU Xian-Rong. HEP NP, 2005, 29(8): 752 (in Chinese)31 ZHANG Jin-Fu, BAI Hong-Bo. Chin. Sci. Bull., 2007, 52(2): 16532 L? Li-Jun, BAI Hong-Bo, ZHANG Jin-Fu. Chin. Phys. C, 2008, 32(3): 17733 Van Isacker P et al. Ann. Phys. (N. Y.), 1986, 171: 25334 Firestone R B, Shirley V S. Table of Isotopes. New York: J. Wiley. 1996
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DONG Hong-Fei, BAI Hong-Bo and Isospin and mixed symmetry structure in 26Mg[J]. Chinese Physics C, 2011, 35(9): 817-820. doi: 10.1088/1674-1137/35/9/005
DONG Hong-Fei, BAI Hong-Bo and Isospin and mixed symmetry structure in 26Mg[J]. Chinese Physics C, 2011, 35(9): 817-820.  doi: 10.1088/1674-1137/35/9/005 shu
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Received: 2010-12-09
Revised: 2010-12-30
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Isospin and mixed symmetry structure in 26Mg

    Corresponding author: DONG Hong-Fei,

Abstract: The isospin excitation states and electromagnetic transitions of the 26Mg nucleus are studied with the isospin-dependent interacting boson model (IBM-3). The mixed symmetry states at low spin and the main components of the wave function for some states are also analyzed. The results show good agreement with the available experimental data. From the IBM-3 Hamiltonian expressed in Casimir operator form, the 26Mg is also proved to be a transition nuclei from U(5) to SU(3).

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