标题： 关于具有粒子数恢复的配对功能理论的表述 显示英文标题

标题： On the formulation of functional theory for pairing with particle number restoration

摘要： 在能量密度泛函理论中分析了粒子数的恢复。 结果表明，基于组态混合的标准方法会导致投影和非投影密度的泛函。 作为替代方法，可能对质量模型、核动力学和热力学有优势，我们建议直接以具有良好粒子数状态的一体和二体密度矩阵来表述泛函。 我们的方法在基于转变密度矩阵的能量密度泛函框架中恢复粒子数时，不会包含最近观察到的病态，并且最终可以与任意密度依赖性的泛函一起应用。 显示英文摘要

摘要： The restoration of particle number within Energy Density Functional theory is analyzed. It is shown that the standard method based on configuration mixing leads to a functional of both the projected and non-projected densities. As an alternative that might be advantageous for mass models, nuclear dynamics and thermodynamics, we propose to formulate the functional in terms directly of the one-body and two-body density matrices of the state with good particle number. Our approach does not contain the pathologies recently observed when restoring the particle number in an Energy Density Functional framework based on transition density matrices and can eventually be applied with functionals having arbitrary density dependencies.