Replacing the Jastrow factor with Neural Networks
An appealing feature of the ANN ansatz is that it is more general than the more conventional product of two- and three-body spin-independent Jastrow functions $$ \begin{align} |\Psi_V^J \rangle = \prod_{i < j < k} \Big( 1-\sum_{\text{cyc}} u(r_{ij}) u(r_{jk})\Big) \prod_{i < j} f(r_{ij}) | \Phi\rangle\,, \tag{17} \end{align} $$ which is commonly used for nuclear Hamiltonians that do not contain tensor and spin-orbit terms. The above function is replaced by a four-layer Neural Network.
