Gognytype

Gogny-type interactions refer to a family of finite-range, effective nucleon-nucleon forces used primarily in self-consistent mean-field theories of atomic nuclei. They are named after their developers and have become a standard tool in nuclear structure calculations due to their ability to describe binding energies, radii, deformations, and pairing correlations within a unified framework.

The canonical Gogny interaction consists of two finite-range central terms expressed as Gaussian functions, supplemented by a density-dependent zero-range term that mimics three-body effects and a spin-orbit component. The finite range makes the interaction non-local, which naturally accommodates pairing correlations and avoids some ultraviolet issues associated with zero-range forces. The density-dependent part is essential for reproducing the saturation properties of nuclear matter and finite nuclei.

Parameterizations under the Gogny umbrella, such as D1S, D1N, D1M, and others, are fitted to a wide set of nuclear data, including binding energies, charge radii, and fission properties. D1S is well known for describing fission barriers in actinides; D1M was developed to improve global mass descriptions, including neutron-rich nuclei. These parameterizations are widely used in Hartree-Fock-Bogoliubov (HFB) and related beyond-mean-field calculations, as well as in QRPA studies of excitations.

Gogny-type interactions are valued for providing a coherent description of ground-state properties and pairing across a broad range of nuclei, from light to heavy and near-dripline systems. They are computationally more demanding than zero-range forces, but offer advantages in treating pairing and surface properties consistently within a single framework. See also nuclear force, Skyrme interaction, and Hartree-Fock-Bogoliubov.