论文标题
具有不同变形依赖性质量系数的奇数核的激发态
Excited states of odd-mass nuclei with different deformation-dependent mass coefficients
论文作者
论文摘要
实验数据表明，集体Bohr Hamiltonian的质量张量不能被视为常数，而应被视为集体坐标的函数。在这项工作中，我们的目的是通过使用具有变形依赖性质量系数的集体Quadrupole Bohr Hamiltonian的新的概括性版本的新的概括性版本的新型概括性hamiltonian，研究奇数核$^{173} $ yb和$^{163} $ dy的低洼集体状态的性质。提议的新版本的Bohr Hamiltonian在$β$ Shape变量中为Davidson的潜力解决了，而$γ$的电位则等于谐波振荡器。获得的激发能的结果和B（E2）降低的过渡概率显示了与实验数据的总体一致性。此外，我们研究了变形依赖性质量参数对能量光谱和过渡速率的影响，即：当质量系数不同并且何时相等时。此外，我们将展示当前形式主义对惯性时刻的积极作用。
Experimental data indicate that the mass tensor of collective Bohr Hamiltonian cannot be considered as a constant but should be considered as a function of the collective coordinates. In this work our purpose is to investigate the properties of low-lying collective states of the odd nuclei $^{173}$Yb and $^{163}$Dy by using a new generalized version of the collective quadrupole Bohr Hamiltonian with deformation-dependent mass coefficients. The proposed new version of the Bohr Hamiltonian is solved for Davidson potential in $β$ shape variable, while the $γ$ potential is taken to be equal to the harmonic oscillator. The obtained results of the excitation energies and B(E2) reduced transition probabilities show an overall agreement with the experimental data. Moreover, we investigate the effect of the deformation dependent mass parameter on energy spectra and transition rates in both cases, namely: when the mass coefficients are different and when they are equal. Besides, we will show the positive effect of the present formalism on the moment of inertia.
