  Nuclear shape transition has been actively studied in the past decade. In
particular, the understanding of this phenomenon from a microscopic point of
view is of great importance. Because of this reason, many works have been
employed to investigate shape phase transition in nuclei within the
relativistic and non-relativistic mean field models by examining potential
energy curves (PECs). In this paper, by using layered feed-forward neural
networks (LFNNs), we have constructed consistent empirical physical formulas
(EPFs) for the PECs of 38-66Ti calculated in Hartree-Fock-Bogoliubov (HFB)
method with SLy4 Skyrme forces. It has been seen that the PECs obtained by
neural network method are compatible with those of HFB calculations.
