The experimental rotational spectra of the deformed nuclei available in even-even and odd-A nuclei in the rare-earth and actinide regions are systematically analyzed with several rotational spectra formulas, including...The experimental rotational spectra of the deformed nuclei available in even-even and odd-A nuclei in the rare-earth and actinide regions are systematically analyzed with several rotational spectra formulas, including Bohr-Mottelson＇s I（I＋ 1）-expansion, Harris＇ ω^2-expansion, ab and abc formulas. It is shown that the simple 2-parameter ab formula is much better than the widely used 2-parameter Bohr-Mottelson＇s AB formula and Harris＇ αβ formula. The available data of the rotational spectra of both ground-state band in even-even nuclei and one-quasiparticle band in odd-A nuclei can be conveniently and rather accurately reproduced by ab formula and abc formula. The moment of inertia and the variation with rotational frequency of angular momentum can be satisfactorily reproduced by ab and abc formulas.展开更多
A new two-parameter formula for the rotational spectra of well deformed nuclei isproposed. The formula is deduced from experimental level systematics and alternatively fromnuclear hydrodynamics. Comparisons with a gre...A new two-parameter formula for the rotational spectra of well deformed nuclei isproposed. The formula is deduced from experimental level systematics and alternatively fromnuclear hydrodynamics. Comparisons with a great number of rotational spectra of even-even nu-clei in rare-earth and actinides region show that the formula is the best one among all two-pa-rameter formulas. It is pointed out that this formula can be applied to the spin assignment forsuperdeformed band.展开更多
Generally, rotation-vibration molecular spectra are described by the Dunham expression in the form E（v, I）=sum from n=i,j Y<sub>i,j</sub>（v+1/2）<sup>i</sup>[I（I+1）]<sup>j</sup>...Generally, rotation-vibration molecular spectra are described by the Dunham expression in the form E（v, I）=sum from n=i,j Y<sub>i,j</sub>（v+1/2）<sup>i</sup>[I（I+1）]<sup>j</sup> , （1）where I is the angular momentum and v is the vibrational quantum number. The numerical coefficients Y<sub>i,j</sub> of the first few terms of the Dunham expression are obtained by the solution of the Schrdinger equation for the Morse potential, while the rest is fixed by experimental data. For rotational spectra, the Dunham expansion can be written展开更多
基金Supported by National Natural Science Foundation of China (10575004,10675007)
文摘The experimental rotational spectra of the deformed nuclei available in even-even and odd-A nuclei in the rare-earth and actinide regions are systematically analyzed with several rotational spectra formulas, including Bohr-Mottelson＇s I（I＋ 1）-expansion, Harris＇ ω^2-expansion, ab and abc formulas. It is shown that the simple 2-parameter ab formula is much better than the widely used 2-parameter Bohr-Mottelson＇s AB formula and Harris＇ αβ formula. The available data of the rotational spectra of both ground-state band in even-even nuclei and one-quasiparticle band in odd-A nuclei can be conveniently and rather accurately reproduced by ab formula and abc formula. The moment of inertia and the variation with rotational frequency of angular momentum can be satisfactorily reproduced by ab and abc formulas.
基金The project supported by the National Natural Scicnce Foundation of China CCAST (World Lab)
文摘A new two-parameter formula for the rotational spectra of well deformed nuclei isproposed. The formula is deduced from experimental level systematics and alternatively fromnuclear hydrodynamics. Comparisons with a great number of rotational spectra of even-even nu-clei in rare-earth and actinides region show that the formula is the best one among all two-pa-rameter formulas. It is pointed out that this formula can be applied to the spin assignment forsuperdeformed band.
基金Project partly supported by the National Natural Science Foundation of ChinaProject partly supported by the Grant LWTZ-1298 of Chinese Academy of Sciences.
文摘Generally, rotation-vibration molecular spectra are described by the Dunham expression in the form E（v, I）=sum from n=i,j Y<sub>i,j</sub>（v+1/2）<sup>i</sup>[I（I+1）]<sup>j</sup> , （1）where I is the angular momentum and v is the vibrational quantum number. The numerical coefficients Y<sub>i,j</sub> of the first few terms of the Dunham expression are obtained by the solution of the Schrdinger equation for the Morse potential, while the rest is fixed by experimental data. For rotational spectra, the Dunham expansion can be written
