Comparison of practical expressions for E1 photon strength functions

Oleksandr Gorbachenko,Kateryna Solodovnyk,Igor Kadenko,Vladimir Plujko

doi:10.1051/epjconf/202023903012

Oleksandr Gorbachenko, Kateryna Solodovnyk + Show 2 more

Open Access

https://doi.org/10.1051/epjconf/202023903012

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Abstract

The closed-form expressions for the photon strength functions (PSF) are tested using the gamma-decay data of OSLO group. The theoretical calculations are performed for the Lorentzian models of PSF for electric and magnetic dipole gamma-rays. The criteria of minimum of least-square value as well as the root-mean-square deviation factor are used. It is shown that a rather good agreement is obtained within the Simple Modified Lorentzian model for E1 PSF modelling.

Highlights

Many nuclear physics applications, such as radiation shielding and radiation transport analyses, fission and fusion reactor technologies, nuclei medicine and radiotherapy etc., require a reliable data on photoabsorption and photodecay cross section data
Most of the microscopic and semimicroscopic approaches assume spherical symmetries so that phenomenological corrections need to be included in order to properly describe the gamma-strength function in deformed nuclei
In this contribution the sum of M1 and E1 photon strength functions (PSF) is tested for description of the photodecay data by OSLO group [12] for even-even atomic nuclei in the range of the γ-rays till ∼ 10 MeV

Summary

Introduction

Many nuclear physics applications, such as radiation shielding and radiation transport analyses, fission and fusion reactor technologies, nuclei medicine and radiotherapy etc., require a reliable data on photoabsorption and photodecay cross section data. When compared with experimental data and considered for practical applications, all such calculations need some phenomenological corrections. Most of the microscopic and semimicroscopic approaches assume spherical symmetries so that phenomenological corrections need to be included in order to properly describe the gamma-strength function in deformed nuclei. The calculations of E1 PSF within microscopic both quasiparticle random-phase approximation (QRPA) and shell-model (SM) were compared with the SMLO strengths in ref.[4] and had been shown that a rather good agreement was obtained. M1 transitions [4, 9,10,11] In this contribution the sum of M1 and E1 PSF is tested for description of the photodecay data by OSLO group [12] for even-even atomic nuclei in the range of the γ-rays till ∼ 10 MeV. The data are compared with theoretical calculations using the merit functions of the least-square values and the root-mean-square (rms) deviation factor

Analytical expressions of E1 PSF for photodecay

Conclusions