Review and Comparison of Some Common Used Rotational Spectrum Formulas

  • Some common used rotational spectrum formulas are reviewed and compared. Analyses for the experimentally observed normally deformed and superdeformed rotational bands now available show that the two-parameter ab and three-parameter abc formulas are the best compared with the other formulas with the same number parameters, and may be conveniently used by experimentalists.
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  • [1] . Bohr A, Mottelson B R. Nuclear Structure, vol. II Nu-clear Deformations, 1975, Chap. 4; Bohr A. Dan. Mat. Fys.Medd., 1952, 26: 14; Bohr A, Mottelson B R. Dan. Mat.Fys. Medd., 1953, 27: 162. XU F X et al. Phys. Rev., 1989, C40: 23373. HU Z X, ZENG J Y. Phys. Rev., 1997, C56: 25234. Harris S X. Phys. Rev. Lett., 1964, 13: 663; Phys. Rev.,1965, 138: A5095. Klein A et al. Phys. Rev., 1970, B31: 3336. Scharff-Goldhaber G, Dove C, Goodman A L. Ann. Rev.Nucl. Sci., 1976, 26: 2397. Saethre Φ et al. Nucl. Phys., 1973, A207: 4868. Mottelson B R. Proceedings of the Nuclear Structure Symposium of the Thousand Lakes, Joutsa, 1970, (Nordisk In-stitut for Theoretisk Atomfysik, Nordita, Report no. 417)9. WU C S, ZENG J Y. HEP NP, 1984, 8: 219, 445; 1985,9: 77, 214 (in Chinese)(吴崇试, 曾谨言. 高能物理与核物理, 1984, 8: 219, 445; 1985,9: 77, 214)10. WU C S, ZENG J Y. Commu. Theor. Phys., 1987, 8: 5111. Holmberg P, Lipas P O. Nucl. Phys., 1967, A117: 55212. Huang H X, WU C S, ZENG J Y. Phys. Rev., 1989, C39:161713. PIN J L et al. Phys. Rev., 1991, C43: 222414. Peker L K, Pearlstein S, Hamilton J H. Phys. Lett., 1981,100B: 28115. LIU S X, ZENG J Y. Phys. Rev., 1998, C58: 326616. ZENG J Y et al. Phys. Rev., 1991, C44: R1745
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LIU Shu-Xin, LEI Yi-An and ZENG Jin-Yan. Review and Comparison of Some Common Used Rotational Spectrum Formulas[J]. Chinese Physics C, 2006, 30(S2): 45-47.
LIU Shu-Xin, LEI Yi-An and ZENG Jin-Yan. Review and Comparison of Some Common Used Rotational Spectrum Formulas[J]. Chinese Physics C, 2006, 30(S2): 45-47. shu
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Received: 2006-10-13
Revised: 1900-01-01
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Review and Comparison of Some Common Used Rotational Spectrum Formulas

    Corresponding author: LIU Shu-Xin,
  • School of Physics, Peking University, Beijing 100871, ChinaCenter of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China

Abstract: Some common used rotational spectrum formulas are reviewed and compared. Analyses for the experimentally observed normally deformed and superdeformed rotational bands now available show that the two-parameter ab and three-parameter abc formulas are the best compared with the other formulas with the same number parameters, and may be conveniently used by experimentalists.

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