Monte Carlo simulations of {\gamma}-directional correlations and their application on FIFRELIN cascades

TL;DR

This paper presents a comprehensive Monte Carlo simulation method for gamma-directional correlations in nuclear cascades, integrating angular distribution theory with the FIFRELIN code, enabling detailed analysis of gamma-ray emission patterns.

Contribution

It introduces a full simulation approach for gamma-directional correlations using the density matrix formalism within the FIFRELIN Monte Carlo framework, including the first triple gamma correlation simulation.

Findings

Simulated full gamma-directional correlation effects in nuclear cascades.

Coupled the formal theory with FIFRELIN for detailed gamma-ray spatial distribution.

Demonstrated the first triple gamma angular correlation simulation.

Abstract

Angular distribution and correlation measurements are an essential part in nuclear structure experiments, especially when spectroscopic information of a specific nucleus is unknown. In most cases, the experimental determination of the spins, parities of the studied nuclear states, as well as the possible mixing between two electric/magnetic multipoles of a transition are determined using angular correlation measurements. In this work, the full effect of directional {\gamma}-correlations is simulated, by using the formal theory of angular distributions. The density matrix formalism along with its multipole expansions called statistical tensors is employed, enabling to perform a full simulation of the angular correlation effects in a cascade of an arbitrary number of {\gamma} transitions. A triple {\gamma} angular correlation simulation is demonstrated for the first time. The present approach was coupled with the Monte Carlo code FIFRELIN, which can simulate the de-excitation of fission fragments or of excited nuclei after neutron capture. It provides a complete description of the spatial distributions of all the {\gamma} rays in the cascade, that can be used for simulation purposes in various applications both in nuclear and particle physics. The potential for a novel approach in data analysis of angular correlation measurements is discussed thoroughly.