Uncertainty Principle and Angular Momentum Generation in Microscopic Fission Models

Fuente: arXiv
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Autori principali: Scamps, G., Guilleux, A., Regnier, D., Bernard, A.
Natura: Preprint
Pubblicazione: 2025
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author Scamps, G.
Guilleux, A.
Regnier, D.
Bernard, A.
author_facet Scamps, G.
Guilleux, A.
Regnier, D.
Bernard, A.
contents The generation of angular momentum (intrinsic spin) in fission fragments has recently attracted renewed attention. While several microscopic approaches reproduce the spin distribution qualitatively using projection techniques, the physical origin of the fragments' angular momentum in density functional theory remains unclear. In this work, we investigate the mechanisms responsible for the spin distribution of fission fragments within a microscopic TDDFT framework. We compare spin distributions obtained from projection operators with those predicted by a simple expression derived from the uncertainty relation between angle and angular momentum, where angular fluctuations are estimated using a Monte Carlo sampling of nucleon positions. We find that a large portion of the spin distribution obtained from projection methods can be explained by the uncertainty principle. Our results thus show that, within microscopic approaches, the spin of fission fragments originates primarily from quantum uncertainty associated with their orientation angle with respect to the fission axis, mainly due to quadrupole deformation and, to a lesser extent, octupole deformation.
format Preprint
id arxiv_https___arxiv_org_abs_2512_02207
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Uncertainty Principle and Angular Momentum Generation in Microscopic Fission Models
Scamps, G.
Guilleux, A.
Regnier, D.
Bernard, A.
Nuclear Theory
Nuclear Experiment
Quantum Physics
The generation of angular momentum (intrinsic spin) in fission fragments has recently attracted renewed attention. While several microscopic approaches reproduce the spin distribution qualitatively using projection techniques, the physical origin of the fragments' angular momentum in density functional theory remains unclear. In this work, we investigate the mechanisms responsible for the spin distribution of fission fragments within a microscopic TDDFT framework. We compare spin distributions obtained from projection operators with those predicted by a simple expression derived from the uncertainty relation between angle and angular momentum, where angular fluctuations are estimated using a Monte Carlo sampling of nucleon positions. We find that a large portion of the spin distribution obtained from projection methods can be explained by the uncertainty principle. Our results thus show that, within microscopic approaches, the spin of fission fragments originates primarily from quantum uncertainty associated with their orientation angle with respect to the fission axis, mainly due to quadrupole deformation and, to a lesser extent, octupole deformation.
title Uncertainty Principle and Angular Momentum Generation in Microscopic Fission Models
topic Nuclear Theory
Nuclear Experiment
Quantum Physics
url https://arxiv.org/abs/2512.02207