Predicting nucleon-nucleus scattering observables using nuclear structure theory

Fuente: arXiv
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Autori principali: Thapa, Aaina, Escher, Jutta, Chimanski, Emanuel, Dupuis, Marc, Péru, Sophie, Younes, Walid
Natura: Preprint
Pubblicazione: 2024
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author Thapa, Aaina
Escher, Jutta
Chimanski, Emanuel
Dupuis, Marc
Péru, Sophie
Younes, Walid
author_facet Thapa, Aaina
Escher, Jutta
Chimanski, Emanuel
Dupuis, Marc
Péru, Sophie
Younes, Walid
contents Developing a predictive capability for inelastic scattering will find applications in multiple areas. Experimental data for neutron-nucleus inelastic scattering is limited and thus one needs a robust theoretical framework to complement it. Charged-particle inelastic scattering can be used as a surrogate for $(n, γ)$ reactions to predict capture cross sections for unstable nuclei. Our work uses microscopic nuclear structure calculations for spherical nuclei to obtain nucleon-nucleus scattering potentials and calculate cross sections for these processes. We implement the Jeukenne, Lejeune, Mahaux (JLM) semi-microscopic folding approach, where the medium effects on nuclear interaction are parameterized in nuclear matter to obtain the nucleon-nucleon $(NN)$ interaction in a medium at positive energies. We solve for the nuclear ground state using the Hartree-Fock-Bogliubov (HFB) many-body method, assuming the nucleons within the nucleus interact via the Gogny-D1M potential. The vibrational excited states of the target nucleus are calculated using the quasi-particle random phase approximation (QRPA). We demonstrate our approach for spherical nuclei in the medium-mass region, showing scattering results for the $^{90}$Zr nucleus.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05505
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Predicting nucleon-nucleus scattering observables using nuclear structure theory
Thapa, Aaina
Escher, Jutta
Chimanski, Emanuel
Dupuis, Marc
Péru, Sophie
Younes, Walid
Nuclear Theory
Developing a predictive capability for inelastic scattering will find applications in multiple areas. Experimental data for neutron-nucleus inelastic scattering is limited and thus one needs a robust theoretical framework to complement it. Charged-particle inelastic scattering can be used as a surrogate for $(n, γ)$ reactions to predict capture cross sections for unstable nuclei. Our work uses microscopic nuclear structure calculations for spherical nuclei to obtain nucleon-nucleus scattering potentials and calculate cross sections for these processes. We implement the Jeukenne, Lejeune, Mahaux (JLM) semi-microscopic folding approach, where the medium effects on nuclear interaction are parameterized in nuclear matter to obtain the nucleon-nucleon $(NN)$ interaction in a medium at positive energies. We solve for the nuclear ground state using the Hartree-Fock-Bogliubov (HFB) many-body method, assuming the nucleons within the nucleus interact via the Gogny-D1M potential. The vibrational excited states of the target nucleus are calculated using the quasi-particle random phase approximation (QRPA). We demonstrate our approach for spherical nuclei in the medium-mass region, showing scattering results for the $^{90}$Zr nucleus.
title Predicting nucleon-nucleus scattering observables using nuclear structure theory
topic Nuclear Theory
url https://arxiv.org/abs/2401.05505