Abstract
The important features of the low-lying states of12C are obtained via an arialysis of quantum mechanical symmetry. The existence of a 4− state lower than the 4 +1 state is found to be essential to judging the validity of the 3α model of12C. It is pointed out that the states can be candidates of the linear chain structure.
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References
Robson, D., Evidence for the tetrahedral nature of16O,Phys. Rev. Lett., 1979, 42: 876.
Brink, D. M., Friedrich, H., Weiguny, A.et al., Investigation of the alpha-particle model for light nuclei,Phys. Lett., 1970, 33B: 147.
Rae, W. D. M., Merchant, A. C., Shape eigenstates and other one- and two-dimensional alpha-cluster structures in light nuclei,Mod. Phys. Lett., 1993, A8: 2435.
Zhang, J., Rae, W. D. M., Systematics of 2-dimensional α-cluster configurations in 4N nuclei from12C,Nucl. Phys., 1993, A564:252.
Merchant, A. C., Rae, W. D. M., Systematics of alpha-chain states in 4N-nuclei,Nucl. Phys., 1992, A549: 431.
Wuosmaa, A. H., Betts, R. R., Back, B. B.etal., Evidence for alpha-particle chain configuration24Mg,Phys. Rev. Lett., 1992, 68: 1295.
Anagnostatos, G. S., Alpha-chain states in12C;Phys. Rev., 1995, C51: 152.
Xie Wenfang, Bao Chengguang, Effect of symmetry on structures and internal motions of 3-fermion systems,Science in China, Ser. A, 1996, 39: 418.
Xie Wenfang, Bao Chengguang, An analysis of the symmetry in 3-boson systems,Science in China, Ser. A, 1995, 38: 1083.
Aizenberg-Selove, F., Lauritsen, T., Energy levels of light nuclei A = 11,12,Nucl. Phys., 1985, A433: 1.
Takacsy, N. De., The structure of12C in a cluster model with varying hinge angle,Nucl. Phys., 1972, A178: 469.
Behman, R., Gupta, S. Das, Takacsy, N. De., The structure of12C and16O in a cluster model with varying hinge angle,Nucl. Phys., 1977, A289: 397.
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Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Guangdong Province.
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Xie, W., Bao, C. Three-alpha structure of12C and symmetry. Sci. China Ser. A-Math. 40, 436–440 (1997). https://doi.org/10.1007/BF02911446
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DOI: https://doi.org/10.1007/BF02911446