Video walkthrough

TALYS calculations of prompt fission observables and independent fission product yields for the neutron-induced fission of $$^{235}$$U

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Kazuki Fujio, Ali Al-Adili, Fredrik Nordström, Jean-François Lemaître, Shin Okumura, Satoshi Chiba, A. J. Koning

When uranium splits, the story is not over. The two pieces are born hot and unstable, then shed neutrons and light as they settle down, and predicting that aftermath matters for reactors, medicine, and nuclear waste.

Abstract

The TALYS nuclear reaction code’s HauserFeshbach statistical decay model has been adapted in order to calculate prompt fission neutron and γ -ray observables by iterating over deexciting fission fragments. Several fission fragment generators such as GEF, HF3D, and SPY were employed to provide TALYS with databases. These databases contain standardized tables with fission fragment yields, mean excitation energies and their widths, and average total kinetic energy, as a function of charge and mass number of primary fission fragments. The resulting calculations, including prompt particle multiplicities, spectra, average energies, and independent fission product yields, were compared with experimental and evaluated data. This work first outlines the new methodology implemented in TALYS and examines the effects of three important parameters on the final evaporation data. Furthermore, the neutron-induced fission of 235U is investigated in detail as a function of incident energy. The results from TALYS, with input from GEF and HF3D, were compared with available experimental data and the results of the stand-alone GEF code. The proposed methodology contributes to an improved capability to model the fission process.

Transcript

When uranium splits, the story is not over. The two pieces are born hot and unstable, then shed neutrons and light as they settle down—and predicting that aftermath matters for reactors, medicine, and nuclear waste. When a heavy nucleus splits, its two pieces release particles that create several linked outcomes, including the amounts of radioactive products and the numbers and energies of emitted neutrons and light.

Those outcomes matter beyond the laboratory: they support reactor-safety estimates, nuclear-waste treatment, medical radioisotopes, and the study of how elements form in stars. The central idea is like checking a recipe with one shared kitchen: a common, consistent code probes starting-assumption biases separately from effects addressed during deexcitation.

Different fragment generators provide starting descriptions, including microscopic and phenomenological models, and TALYS then applies the common deexcitation calculation to produce prompt observables. The calculation follows the excited pieces as they release neutrons and light, producing the observable results of fission.

The starting information describes how often different pieces are made, how much energy they carry, and how that energy is spread. The calculation produces deexcitation data that can be compared with measurements and with results from other stand-alone models, enabling broad comparison of systematic errors and model defects.

The cooling calculation depends on how the pieces’ rotation is distributed and on how finely their possible energy states are represented. The number of energy states changes when more nucleons are released: it stays fixed at first, is reduced later, and is cut in half when the number released becomes large.

The predicted neutron count follows the same saw-tooth pattern as measurements, and the TALYS version based on the H F three-D model agrees fairly well near the most probable masses. But the agreement worsens for very uneven splits. Another version predicts too many neutrons from the heavy pieces and too few from the light pieces, while the neutron count reaches a pronounced minimum near especially stable nuclear arrangements.

This matters because the predicted outgoing-neutron energies follow the measured pattern only up to about two megaelectronvolts; beyond that, the two calculation approaches bend away in opposite directions, showing that the treatment of neutron evaporation strongly shapes the result.

The neutron-energy results do not describe the experimental shape above two mega-electron-volts. One calculation has a harder high-energy tail, while the other has a softer tail. The difference between the two results reflects differences in how the codes calculate the pieces’ evaporation.

For light emission, the calculation reproduces the measured saw-tooth pattern in how many light particles come from fragments of different masses, but it underestimates the overall amount. Its predicted light-particle energy pattern also contains a strong low-energy peak linked to the calculation’s grouping of energies, and it falls below measurements in some low- and high-energy regions.

The calculation connects the initial split with the particles and radioactive products that follow. It improves the ability to compare competing pictures of fission, while also revealing where important predictions still disagree with measurements.

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