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Chinese Physics C> 1999, Vol. 23> Issue(6) : 546-551 

Correction of 24Mg Collective States With Three-Body Non-diagonal Boson Interaction

  •  Xuzhou Normal University, Xuzhou 221009

  • Although it has been verified that the interacting boson model (IBM) can be applied to light nuclei in sd shell successfully, the deficiency shll exists. The level of experimental spectrum of 24Mg is much higher than 3. The similar result can not be obtained by using of conventional IBM, in which only one-body and two-body interactions are concerned. Three-body interactions have been discussed by some authors, but the authers mainly considered the diagonal interactions. Moreover,the defect mentioned above can not be solved with these interactions. Introducing three-body non-diagonal interaction, the energy levels of 24Mg are calculated, the difficulty of low 0 theoretical level is overcome and the coincidence betWeen theory and experiment is improved. This work illustrates that in some cases the three-body non-diagonal boson interaction is important.
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    [1] Elliott J P, White A P. Phys. Lett., 1980, 97B(2): 169–1722 Elliott J P, Evans J A. Phys. Lett., 1981, 101B(4):216–218 3 Di Yaomin. Chin. J. Nucl. Phys. (in Chinese), 1981, 4(3):231–237 (狄尧民.原子核物理, 1982, 4(3) : 231–237)4 Halse P, Elliott J P, Evans J A. Nucl. Phys., 1984, A417(2):301–330 5 Heyde K et al. Phys. Rev., 1984, C29(4): 1420–1427 6 Sun H Z, Zhang M, Feng D H. Phys. Lett., 1985, 163B:7–13 7 Castan R F et al. Phys. Lett., 1985, 152B(1,2):22–28, Nucl. Phys., 1985, A439(2).289–298 8 Wang Huangsheng, Liao Jizhi. High Energy Phys. and Nucl. Phys. (in Chinese), 1992, 16(10):954–960 (王黄生, 廖继志. 高能物理与核物理, 1992, 16 (10) : 954–960)9 Shao Bin. High Energy Phys. and Nucl. Phys. (in Chinese), 1994, 18(12): 1124–1129 (邵彬. 高能物理与核物理, 1994, 18 (12): 1124–1129) 10 Endt P M. Nucl. Phys., 1990, A521: 1–830 11 Sakaj M. Atomic Data and Nucl. Data Tables, 1984, 31:399–432

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Di Yaomin and Lu Huaping. Correction of 24Mg Collective States With Three-Body Non-diagonal Boson Interaction[J]. Chinese Physics C, 1999, 23(6): 546-551.
Di Yaomin and Lu Huaping. Correction of 24Mg Collective States With Three-Body Non-diagonal Boson Interaction[J]. Chinese Physics C, 1999, 23(6): 546-551. shu
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Received: 1998-04-03
Revised: 1900-01-01
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Correction of 24Mg Collective States With Three-Body Non-diagonal Boson Interaction

    Corresponding author: Di Yaomin,
  • Xuzhou Normal University, Xuzhou 221009
  • Received Date: 1998-04-03
  • Accepted Date: 1900-01-01
  • Available Online: 1999-06-05

Abstract: Although it has been verified that the interacting boson model (IBM) can be applied to light nuclei in sd shell successfully, the deficiency shll exists. The level of experimental spectrum of 24Mg is much higher than 3. The similar result can not be obtained by using of conventional IBM, in which only one-body and two-body interactions are concerned. Three-body interactions have been discussed by some authors, but the authers mainly considered the diagonal interactions. Moreover,the defect mentioned above can not be solved with these interactions. Introducing three-body non-diagonal interaction, the energy levels of 24Mg are calculated, the difficulty of low 0 theoretical level is overcome and the coincidence betWeen theory and experiment is improved. This work illustrates that in some cases the three-body non-diagonal boson interaction is important.

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