论文标题
超越均值场，有效的哈密顿量由能量密度映射
Beyond-Mean-Field with an Effective Hamiltonian Mapped from an Energy Density Functional
论文作者
论文摘要
描述了一种基于能量密度功能的超出均值计算方法。主要思想是将核四极变形的能量表面绘制为在平均场水平上的能量密度获得的核四极变形，并将其绘制为以多体操作员表示的有效汉密尔顿人。此过程的优点是，避免了在均值范围方法中可能出现的密度依赖性问题。然后在发电机坐标方法中以直接的方式使用有效的哈密顿量，将投影包括在良好的粒子数和角动量上。最后，获得了光谱和波函数。作为该方法的一个示例，对Skyrme函数的三个不同的参数化进行了核$ ^{62} $ Zn的计算。将结果与实验进行比较。
A method for beyond-mean-field calculations based on an energy density functional is described. The main idea is to map the energy surface for the nuclear quadrupole deformation, obtained from an energy density functional at the mean-field level, into an effective Hamiltonian expressed as a many-body operator. The advantage of this procedure is that one avoids the problems with density dependence which can arise in beyond-mean-field methods. The effective Hamiltonian is then used in a straightforward way in the generator-coordinate-method with the inclusion of projections onto good particle numbers and angular momentum. In the end, both spectra and wave functions are obtained. As an example of the method, calculations for the nucleus $ ^{62} $Zn is performed with three different parametrizations of the Skyrme functional. The results are compared with experiment.
