在解Bohr Hamiltonian的过程中出现了很多种方法,且有很多在最后都是用不同的势来得到不同的解析解,典型的有Coulomb-like和Kratzer-like势、Linear势、Davidson势.除此之外,还有Bohr sHarmonic-Oscillator解法、Wilets and Jean解法、E...在解Bohr Hamiltonian的过程中出现了很多种方法,且有很多在最后都是用不同的势来得到不同的解析解,典型的有Coulomb-like和Kratzer-like势、Linear势、Davidson势.除此之外,还有Bohr sHarmonic-Oscillator解法、Wilets and Jean解法、Elliott-Evans-Park s解法等.这些解法都给出了与实验室比较接近的光谱,但其中有一个普遍现象:很多最后的解析能谱都比实验能谱低.在该文中用Hulthen势来作出它的修正能谱,以更好地与实验值接近.最后,用240U和240Pu作为例子来进行比较.展开更多
The Bohr Hamiltonian with axially deformed shape confined in a quasi-exactly solvable decatic β-part potential is studied.It is shown that the decatic model can well reproduce the X(5)model results as far as the ener...The Bohr Hamiltonian with axially deformed shape confined in a quasi-exactly solvable decatic β-part potential is studied.It is shown that the decatic model can well reproduce the X(5)model results as far as the energy ratios in the ground and beta band and related B(E2)values are concerned.Fitting results to the low-lying energy ratios and relevant B(E2)values of even-even X(5)candidates ^(150)Nd,^(156)Dy,^(164)Yb,^(168)Hf,^(174)Yb,^(176,178,180)Os,and ^(188,190)Os show that the decatic model provides the best fitting results for the energy ratios,while the X(5)model is the best at reproducing the B(E2)values of these nuclei,in which the beta-bandhead energy is lower than that of the gamma band.While for even-even nuclei,such as ^(154,156,158)Gd,with bandhead energies of the beta and gamma bands more or less equal within the X(5)critical point to the axially deformed region,our numerical analysis indicates that the decatic model is better than the X(5)model in describing both the low-lying level energies and related B(E2)values.展开更多
基金Support from the National Natural Science Foundation of China(11675071,12175097)the Liaoning Provincial Universities Overseas Training Program(2019GJWYB024)+2 种基金the U.S.National Science Foundation(OIA-1738287 and PHY-1913728)the Southeastern Universities Research Associationthe LSU-LNNU joint research program(9961)is acknowledged.
文摘The Bohr Hamiltonian with axially deformed shape confined in a quasi-exactly solvable decatic β-part potential is studied.It is shown that the decatic model can well reproduce the X(5)model results as far as the energy ratios in the ground and beta band and related B(E2)values are concerned.Fitting results to the low-lying energy ratios and relevant B(E2)values of even-even X(5)candidates ^(150)Nd,^(156)Dy,^(164)Yb,^(168)Hf,^(174)Yb,^(176,178,180)Os,and ^(188,190)Os show that the decatic model provides the best fitting results for the energy ratios,while the X(5)model is the best at reproducing the B(E2)values of these nuclei,in which the beta-bandhead energy is lower than that of the gamma band.While for even-even nuclei,such as ^(154,156,158)Gd,with bandhead energies of the beta and gamma bands more or less equal within the X(5)critical point to the axially deformed region,our numerical analysis indicates that the decatic model is better than the X(5)model in describing both the low-lying level energies and related B(E2)values.
