New Empirical Formula for ({/gamma}, n) reaction cross section near to GDR Peak for elements with Z \geq 60

TL;DR

This paper introduces a new empirical formula for describing ({γ}, n) reaction cross sections near the GDR peak for elements with Z ≥ 60, validated by nuclear reaction codes and experimental data, especially for isotopes lacking prior measurements.

Contribution

The paper presents a novel empirical formula for ({γ}, n) cross sections near the GDR peak, supported by calculations and experimental data, and explains GDR peak deformation for certain isotopes.

Findings

The empirical formula agrees well with experimental data near GDR peak.

Reproducibility of the formula depends on key nuclear properties.

Predictions made for isotopes without previous measurements.

Abstract

A new empirical formula has been developed that describes the $({\gamma}, n)$ nuclear reaction cross sections for the isotopes with $Z \geq 60$. The results were supported by calculations using TALYS - 1.6, EMPIRE - 3.2.2 nuclear modular codes. The energy region for incident photon energy have been selected near to the giant dipole resonance (GDR) peak energy. The evaluated empirical data were compared with available data in the experimental data library - EXFOR. The data produced using TALYS - 1.6 and EMPIRE - 3.2.2 were in good agreement with experimental data. We have tested and presented the reproducibility of the present new empirical formula. We observed the reproducibility of the new empirical formula near to GDR peak energy is in good agreement with the experimental data and remarkable dependency on key nuclei properties: the neutron, proton and atomic number of the nuclei. The behavior of nucleus near GDR peak energy, and dependency of GDR peak on the isotopic nature were predicted. An effort has been made to explain the deformation of the GDR peak in $({\gamma}, n)$ nuclear reaction cross section for some isotopes, which could not reproduce with TALYS - 1.6 and EMPIRE - 3.2.2. The evaluated data have been presented for the isotopes 180W, 183W, 202Pb, 203Pb, 204Pb, 205Pb, 231Pa, 232U, 237U and 239Pu that have no previous measurements.