Formulae for the nuclear pairing-rotational (p.r.) and pairing-vibrational (p.v.) spectra are obtained using the PNC (particle-number-conserving) method. The quentum numbers characterizing the p.r. band, the braching ratios and the selection rule for two-particle transfer reactions are given. It is shown that the pairing-rotational scheme holds even for those nuclei near closed-shell, provided that the major-shell is not crossed. The anharmonic p.v. spectrum is shown to be equivalent to two sets of p.r. bands. The physical meaning of the parameters occuring in the p.r. and p.v. spectra is discussed.
References
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A. Bohr, B. Mottelson, D. Pines, Phys. Rev., 110 (1958), 936.[2] B. Mottelson.“The Many Body Problem", (1958), 283.[3] A. Bohr. "Dubna Sym. on Nuclear Structure," (1968), 179; O. Nathan, ibid, 191.[4] D. R. Bes, R. A. Broglie, Nucl.Phys., 80 (1966), 289; D. R. Bes et al., Nucl. Phys, A143(1970), 1:B .Srensen, Nucl. Phys., A177 (1971), 465.[5] 杨立铭、曾谨言,物理学报,20 (1964), 862; 程檀生、曾谨言,物理,2 (1973), 57.[6] 程檀生、曾谨言,关于对力的粒子数守恒处理方法(未发表).[7] R. Beck,M.Kleber, H. Schmidt,Z. Physik,250(1972), 155.[8] 曾谨言,物理学报,13 (1957), 357.[9] J. H. E. Mattauch, W. Thick, A.H. Wapstra, Nucl. Phys., 67 (1965), 1.
References
[1]
A. Bohr, B. Mottelson, D. Pines, Phys. Rev., 110 (1958), 936.[2] B. Mottelson.“The Many Body Problem", (1958), 283.[3] A. Bohr. "Dubna Sym. on Nuclear Structure," (1968), 179; O. Nathan, ibid, 191.[4] D. R. Bes, R. A. Broglie, Nucl.Phys., 80 (1966), 289; D. R. Bes et al., Nucl. Phys, A143(1970), 1:B .Srensen, Nucl. Phys., A177 (1971), 465.[5] 杨立铭、曾谨言,物理学报,20 (1964), 862; 程檀生、曾谨言,物理,2 (1973), 57.[6] 程檀生、曾谨言,关于对力的粒子数守恒处理方法(未发表).[7] R. Beck,M.Kleber, H. Schmidt,Z. Physik,250(1972), 155.[8] 曾谨言,物理学报,13 (1957), 357.[9] J. H. E. Mattauch, W. Thick, A.H. Wapstra, Nucl. Phys., 67 (1965), 1.
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ZENG JIN-YAN. ON[J]. Chinese Physics C, 1978, 2(5): 428-440.
ZENG JIN-YAN. ON[J]. Chinese Physics C, 1978, 2(5): 428-440.
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Received: 1977-06-20
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Abstract: Formulae for the nuclear pairing-rotational (p.r.) and pairing-vibrational (p.v.) spectra are obtained using the PNC (particle-number-conserving) method. The quentum numbers characterizing the p.r. band, the braching ratios and the selection rule for two-particle transfer reactions are given. It is shown that the pairing-rotational scheme holds even for those nuclei near closed-shell, provided that the major-shell is not crossed. The anharmonic p.v. spectrum is shown to be equivalent to two sets of p.r. bands. The physical meaning of the parameters occuring in the p.r. and p.v. spectra is discussed.