The need to enforce fermionic antisymmetry in the nuclear many-body problem commonly requires use of single-particle coordinates, defined relative to some fixed origin. To obtain physical operators which nonetheless act on the nuclear many-body system in a Galilean-invariant fashion, thereby avoiding spurious center-of-mass contributions to observables, it is necessary to express these operators with respect to the translational intrinsic frame. Several commonly-encountered operators in nuclear many-body calculations, including the magnetic dipole and electric quadrupole operators (in the impulse approximation) and generators of SU(3) and Sp(3,R) symmetry groups, are bilinear in the coordinates and momenta of the nucleons and, when expressed in intrinsic form, become two-body operators. To work with such operators in a second-quantized many-body calculation, it is necessary to relate three distinct forms: the defining intrinsic-frame expression, an explicitly two-body expression in terms of two-particle relative coordinates, and a decomposition into one-body and separable two-body parts. We establish the relations between these forms, for general (non-scalar and non-isoscalar) operators bilinear in coordinates and momenta.
Microscopic description of translationally-invariant core+N+N overlap functions
我们推导出表达式的核心+ N + N重叠积分从微观波函数从头算无核壳模型。这些重叠积分对应于三体通道形状因子，可以用来研究多体系统成团成一个核加两个核子。我们考虑的情况下，当复合系统和核心描述的斯莱特行列式，谐振子基地，我们展示了如何删除虚假的质量质心组件，以准确地推导出几何不变的重叠积分。我们特别研究Borromean 6He核使用现实的手核相互作用，我们证明，在这个系统中观察到的集群是泡利聚焦效应。包含三体力对这种结构的影响很小。此外，我们讨论了光谱因子的绝对归一化问题，我们发现它大于1。作为这项研究的一部分，我们还进行外推的基态观测值和调查的依赖关系，这些结果的分辨率尺度的相互作用。
Translationally invariant calculations of form factors, nucleon densities and momentum distributions for finite nuclei with short-range correlations included
