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Doctoral Thesis
DOI
10.11606/T.43.2017.tde-10102017-111220
Document
Author
Full name
Daniel Felipe Morales Botero
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2017
Supervisor
Committee
Chamon, Luiz Carlos (President)
Frederico, Tobias
Lichtenthaler Filho, Rubens
Muñoz, Antonio Matías Moro
Oliveira, Jose Roberto Brandao de
Title in Portuguese
Cálculo de canais acoplados com o modelo generalizado de rotação-vibração
Keywords in Portuguese
canais acoplados.
Estrutura nuclear
Modelo generalizado de rotação-vibração
Reações nucleares
Abstract in Portuguese
No presente trabalho, foram realizados cálculos de canais acoplados (CC) para reações nucleares que envolvem íons pesados. Nesses cálculos assumimos o Modelo Generalizado de Rotação-Vibração (GRVM), que é um modelo coletivo de estrutura nuclear desenvolvido recentemente. Fizemos algumas modificações no GRVM, que tornam o modelo mais simples e consistente com o objeto de estudo. Assumimos esse modelo de estrutura nuclear para calcular as densidades de transição de carga e de matéria entre estados nucleares. % considerados no modelo. Relacionamos as densidades de transição de carga teóricas com resultados experimentais de espalhamento elástico e inelástico de sistemas elétron-núcleo, o que permitiu testar a precisão do GRVM. Como mais um teste que reforça a confiabilidade do GRVM, comparamos os respectivos resultados com aqueles obtidos com o modelo de estrutura nuclear microscópico de Dirac-Hartree-Bogoliubov (DHB). Dentro do contexto do GRVM, também foi desenvolvido o formalismo de cálculos CC. As densidades de transição, anteriormente calculadas, foram usadas para obter, com precisão, potenciais de acoplamento (próprios de cálculos CC), considerando o método de dupla-convolução. Em todos esses cálculos, as densidades nucleares foram expandidas até segunda ordem na deformação e foram levados em conta valores finitos para as difusividades das densidades, os quais são desprezados na maioria dos modelos de estrutura nuclear. Foi elaborado um programa computacional para o cálculo de seções de choque de diversos processos, o qual foi utilizado na analise de dados de espalhamentos elástico e inelástico de sistemas de núcleos pesados, bem como de dados de fusão nuclear.
Title in English
Coupled-channel calculation with the generalized rotation-vibation model.
Keywords in English
coupled-channel.
Generalized rotation-vibation model
nuclear reactions
Nuclear structure
Abstract in English
In this work we perform coupled-channel (CC) calculations for nuclear reactions involving heavy-ions. In these calculations, we assume the Generalized Rotation-Vibration Model (GRVM), which is a recently developed collective model of nuclear structure \cite. We propose some modifications in the GRVM, which make the model simpler and more consistent with the subject of study. We assume this nuclear structure model to calculate the charge and matter transition densities between nuclear states. We relate the theoretical transition charge densities with experimental results of elastic and inelastic scattering for electron-nucleus systems, which allowed us to test the accuracy of the GRVM. As a further test that reinforces the reliability of the GRVM, we compare the respective results with those obtained with the Dirac-Hartree-Bogoliubov (DHB) microscopic model of nuclear structure. Within the context of the GRVM, we have also developed the formalism of CC calculations. The earlier calculated transition densities were used to accurately obtain coupling potentials (typical of CC calculations), considering the double-folding method described in \cite . In these calculations, the nuclear densities were expanded up to second-order in the deformation, and it was taken into account finite values for the diffuseness of the densities, which are neglected in most of the nuclear structure models. A computational program was developed for the calculation of cross sections of several processes, which was used in the analysis of elastic and inelastic scattering data, as well as of fusion data, of heavy-ion systems.
 
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Publishing Date
2017-10-11
 
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