Fractional dynamic symmetries and the ground state properties of nuclei

TL;DR

This paper introduces a fractional rotation group extension to model nuclear ground state properties, accurately predicting magic numbers and reproducing experimental data.

Contribution

It develops a fractional extension of the rotation group to improve the modeling of nuclear ground states and magic numbers.

Findings

Accurately predicts magic proton and neutron numbers.

Reproduces ground state properties of nuclei.

Introduces a fractional symmetric rotor model.

Abstract

Based on the Riemann- and Caputo definition of the fractional derivative we use the fractional extensions of the standard rotation group SO(3) to construct a higher dimensional representation of a fractional rotation group with mixed derivative types. An extended symmetric rotor model is derived, which predicts the sequence of magic proton and neutron numbers accurately. The ground state properties of nuclei are correctly reproduced within the framework of this model.