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arXiv · 1212.2007

Empirical physical formula for potential energy curves of 38-66Ti isotopes by using neural networks

S. Akkoyun·T. Bayram·S. O. Kara·N. Yildiz
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Abstract

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.

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S. Akkoyun, T. Bayram, S. O. Kara, N. Yildiz. 2012-12-10. Empirical physical formula for potential energy curves of 38-66Ti isotopes by using neural networks. https://doi.org/10.1134/s1547477113060022

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