Microscopic Foundation of sdgIBM-2 and Study of Low-Lying States of <SUP>24</SUP>Mg

Zhang Zhanjun; Shi Zhuyi; Liu Yong; Sang Jianping

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2024年10月30日

Chinese Physics C> 1998, Vol. 22> Issue(2) : 169-175

Microscopic Foundation of sdgIBM-2 and Study of Low-Lying States of ²⁴Mg

Institute of Particle Physics, Huazhong Normal University,Wuhan 4300792 Department of Physics,Guizhou Nationality College,Guiyang 5500253 Department of Physics,Wuhan University,Wuhan 430072

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Abstract：
A microscopic framework of sdlBM-2 is extended to the one of sdglBM-2. lntroducing hexadecupole pairing force, Hamdltonian and E2,E4 operators of the sdglBM-2 are deduced microscopically. The nucleus ²⁴Mg in the light-mass region is chosen as the first application of such an extended microscopic approach. Based on strong coupling picture, spectrum, reduced E2 transition rates and reduced E4 transition matrix elements are calculated. The calculated results fit experimental results quitewell.

References

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Yang Z S, Liu Y, Qi H. Nucl. Phys., 1984, A421:297-312[2] Devi Y D, Kota V K B, Sheikh J A. Phys. Rev., 1989, C39:2057-2060[3] Nesterenko V 0, Kukhtina I N et al. J. Phys. G: Nucl. Phys., 1988, 14:725-732[4] Kuyucak S, Morrison I, Sebe T. Phys. Rev., 1991, 43: 1 187-1224[5] Usui T. Progr. Theor. Phys., 1960, 23: 787-798[6] Cseh J, Levai G, Scheid W. Phys. Rev., 1993, C48: 1724-1738[7] Zarek H et al. Phys. Lett, 1978, B80:26-29[8] Wildenthal B H et al. Phys. Rev., 1985, C32:2185-2188[9] Sakai M. Atomic Data and Nuclear Tables, 1984, 31: 399-432[10] Heisenberg J, Blok H P. Ann. Rev. Nucl. Part. Sci., 1983, 33:569-609

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Zhang Zhanjun, Shi Zhuyi, Liu Yong and Sang Jianping. Microscopic Foundation of sdgIBM-2 and Study of Low-Lying States of ²⁴Mg[J]. Chinese Physics C, 1998, 22(2): 169-175.

Zhang Zhanjun, Shi Zhuyi, Liu Yong and Sang Jianping. Microscopic Foundation of sdgIBM-2 and Study of Low-Lying States of ²⁴Mg[J]. Chinese Physics C, 1998, 22(2): 169-175. 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

Microscopic Foundation of sdgIBM-2 and Study of Low-Lying States of ²⁴Mg

Corresponding author: Zhang Zhanjun,

Institute of Particle Physics, Huazhong Normal University,Wuhan 4300792 Department of Physics,Guizhou Nationality College,Guiyang 5500253 Department of Physics,Wuhan University,Wuhan 430072

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-02-05

Abstract: A microscopic framework of sdlBM-2 is extended to the one of sdglBM-2. lntroducing hexadecupole pairing force, Hamdltonian and E2,E4 operators of the sdglBM-2 are deduced microscopically. The nucleus ²⁴Mg in the light-mass region is chosen as the first application of such an extended microscopic approach. Based on strong coupling picture, spectrum, reduced E2 transition rates and reduced E4 transition matrix elements are calculated. The calculated results fit experimental results quitewell.