Effect of broken axial symmetry on the electric dipole strength and the collective enhancement of level densities in heavy nuclei

TL;DR

This paper investigates how breaking axial symmetry in heavy nuclei affects electric dipole strength and level densities, leading to improved predictions for neutron capture relevant to nuclear energy and astrophysics.

Contribution

It introduces a model that removes the axial symmetry assumption, using experimental data and advanced calculations to better predict nuclear properties and reaction rates.

Findings

Good agreement with experimental radiative widths and neutron capture cross sections.

Significant collective enhancement of level densities due to symmetry breaking.

Model extends to higher spins, improving reaction predictions outside the valley of stability.

Abstract

The basic parameters for calculations of radiative neutron capture , photon strength functions and nuclear level densities near the neutron separation energy are determined based on experimental data without an ad-hoc assumption about axial symmetry - at variance to previous analysis. Surprisingly few global fit parameters are needed in addition to information on nuclear deformation, taken from Hartree Fock Bogolyubov (HFB) calculations with the Gogny force, and the generator coordinator method (GCM) assures properly defined angular momentum. For a large number of nuclei the GDR shapes and the photon strength are described by the sum of three Lorentzians (TLO), extrapolated to low energies and normalized in accordance to the dipole sum rule. Level densities are influenced strongly by the significant collective enhancement based on the breaking of shape symmetry. The replacement of axial symmetry by the less stringent requirement of invariance against rotation by 180 degree leads to a novel prediction for radiative neutron capture. It compares well to recent compilations of average radiative widths and Maxwellian average cross sections for neutron capture by even target nuclei. An extension to higher spin promises a reliable prediction for various compound nuclear reactions also outside the valley of stability. Such predictions are of high importance for future nuclear energy systems and waste transmutation as well as for the understanding of the cosmic synthesis of heavy elements.