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. / 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.

Para efeito de aplicação em cálculos de canais acoplados, potenciais calculados de maneira exata para sistemas envolvendo núcleos deformados não são adequados, pois resultariam em integrais multidimensionais muito difíceis de serem calculadas numericamente pelo tempo de cálculo computacional que isso implica. Nesta dissertação, apresentamos expressões para calcular de maneira aproximada os potenciais nuclear e coulombiano entre núcleos deformados, sendo essas expressões uma generalização de resultados obtidos em trabalhos anteriores. Os cálculos foram feitos no contexto do Modelo Generalizado de Rotação-Vibração (GRVM), que é um modelo de estrutura nuclear desenvolvido recentemente. Para obter essas expressões, as densidades nucleares foram expandidas até segunda ordem na deformação e foi levado em conta um valor finito para a difusividade nuclear nos cálculos de dupla convolução. Comparamos os correspondentes resultados obtidos com aqueles provenientes de algumas outras expressões, usualmente assumidas nesse tipo de cálculos, e também com os valores exatos (obtidos ao resolver numericamente a integral sextupla no cálculo de dupla convolução). As análises mostraram que a nossa aproximação -GRVM- é superior a essas outras de uma maneira geral, e, em particular, de forma muito melhor na região de pequenas distâncias de interação. As expressões analíticas do GRVM exprimem a dependência do potencial com as deformações de maneira explícita, sendo essa característica extremamente útil para a obtenção de potenciais de acoplamento de maneira analítica / For systems involving deformed nuclei, potentials calculated through an exact form are not appropriated for applications in coupled-channel (CC) calculations, because they result in multidimensional integrals impossible to be calculated numerically. In this work, we present equations for calculating the heavy-ion nuclear and Coulomb potentials, in an approximate form, that express the dependence of the potential on the deformations explicitly. This characteristic is extremely useful for obtaining coupling potentials analytically. The calculations were made in the context of the Generalized Rotation-Vibration Model (GRVM), which is a recently developed model of nuclear structure. To obtain these expressions, the nuclear densities were expanded up to second order in the deformation and a finite diffuseness value was taken into account in the calculation of the double-folding potential. We have compared the corresponding results with those obtained from other expressions usually assumed in such calculations, and also with the exact potential strength values (obtained by solving numerically the six dimensional integral of the double-folding calculation). The analyses show that our approach presents better results than the others, particularly so much better in the region of interaction of small distances.

A análise da Interferência Coulombiana-Nuclear (ICN) foi aplicada à distribuição angular experimental do espalhamento inelástico de 6Li de 28,0 MeV em 76Ge, na excitação do estado 2_1^+. Os dados foram adquiridos no sistema Pelletron-Espectrógrafo Magnético Enge do LAFN do IFUSP. Na detecção dos íons emergentes, no plano focal do imã, foi utilizado um detector sensível à posição (PSD) de barreira de superfície (área de detecção de 47 × 8 mm^2 e espessura útil de 500 m). No presente trabalho foi introduzida a técnica de processamento digital de pulsos (PDP) no sistema de aquisição. Foram medidos espectros associados a vinte e seis ângulos de espalhamento na região angular de interesse: 10^o_Lab 55^o. A análise foi realizada na aproximação de Born com ondas distorcidas (DWBA) utilizando o potencial nuclear de transição descrito pelo modelo do potencial óptico deformado (DOMP) e parâmetros ópticos globais. O ajuste das previsões sobre a distribuição angular experimental foi realizado pela minimização do ^2 através do método iterativo de Gauss. O ajuste permitiu a extração dos parâmetros correlacionados: _2^N, comprimento de deformação nuclear e C_2=(_2^C)(_2^N ), razão entre os comprimentos de deformação de carga e nuclear. Os valores dos parâmetros correlacionados obtidos neste trabalho foram C_2=1,101(20) e _2^N=1,08(21) fm. Testes estatísticos através da simulação de Monte Carlo de 5000 novos conjuntos de dados comprovaram a qualidade do método empregado no ajuste dos parâmetros correlacionados. A metodologia aplicada na análise da ICN, permitiu a extração da razão (B(E2))B(IS2) ,que é proporcional ao quadrado de C_2, com boa precisão devido ao cancelamento da incerteza no fator de escala, das seções de choque absolutas. Os resultados obtidos no presente trabalho são inéditos e permitiram análise da evolução da coletividade ao longo da cadeia de isótopos pares de germânio, em conjunto com os valores obtidos nos isótopos 70,72,74Ge estudados previamente. Os resultados ao longo da cadeia indicaram que, apesar de uma leve predominância da contribuição dos prótons em relação aos nêutrons na excitação dos primeiros estados quadrupolares dos 70,72,76Ge, a contribuição dos nêutrons é consideravelmente maior para o 74Ge. Este aumento sugere forte mistura de configurações na descrição do estado fundamental deste isótopo. / The inelastic scattering of 28,0 MeV 6Li on 76Ge in the excitation of the 2_1^+ state, has been studied with the Coulomb-Nuclear Interference (CNI) analysis. The data were measured at the Pelletron-Enge-Spectrograph facility at LAFN-IFUSP. A solid-state position sensitive silicon detector (PSD) (500 m thickness and 47 × 8 mm^2 area) was used to measure the data at the spectrometer focal plane. Digital pulse processing (DPP) was implemented in the acquisition system. Twenty-six spectra were measured at carefully chosen scattering angles in the range of 10^o_Lab 55^o to obtain an angular distribution. The analysis was performed with the Distorted Wave Born Approximation (DWBA) and applied for the nuclear transition potential, the Deformed Optical Potential Model (DOMP), under well-established global optical parameters. The fit of the predicted cross sections to the experimental data through ^2 minimization, using the iterative method of Gauss, allowed for the extraction of the correlated parameters, _2^N, the mass deformation length, and C_2=(_2^C)(_2^N ), the ratio between charge and mass deformation lengths. The correlated parameters obtained in the present work were C_2=1,101(20) and _2^N=1,08(21) fm. Statistical tests, through a Monte Carlo simulation of 5000 new data sets, validated the method employed in the correlated parameters fit. The methodology applied for the CNI analysis allowed the extraction of ratio(B(EL))(B(ISL)), which is proportional to the square of C_2, with a good precision due to the scale uncertainties cancellation of the absolute cross sections. The values of B(IS2) and of the ratios (B(E2))(B(IS2)) obtained in the present work have not been reported before and allow the study of the evolution of the collectivity throughout the even-A germanium chain together with former results obtained for the 70,72,74Ge isotopes. The results along the chain indicate that although the protons relative to the neutrons reveal a small predominant contribution in 70,72,76Ge to the first quadrupole excitation, the neutron role is strongly enhanced in 74Ge. This behaviour suggests a strong mixing configuration in the 74Ge ground state description

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Este trabalho tem como principal interesse o estudo das propriedades do núcleo ímpar-ímpar 64Cu utilizando técnicas de espectroscopia de raios em linha. Para o estudo deste núcleo, foi realizada no acelerador Pelletron (Modelo 8-UD, tipo TANDEM) da Universidade de São Paulo a reação de fusão-evaporação 51V(16O, 2pn)64Cu com energia de feixe incidente igual a 70 MeV, utilizando-se um alvo de 4,4 mg/cm2 de 51V com um backing de 7,0 mg/cm2 de Au. As medidas de coincidência das partículas carregadas evaporadas e da radiação gama foram feitas utilizando-se o espectrômetro de raios SACI-PERERE, composto por quatro detectores de GeHP com supressores Compton e 11 detectores E-E de partículas carregadas. Dez novas transições pertencentes ao núcleo 64Cu e um novo estado excitado foram identificados, porém somente uma transição foi posicionada no esquema de níveis conhecido do 64Cu devido principalmente à baixa estatística. Utilizando-se a técnica DCO (Correlações angulares de radiação emitida por estados orientados), determinou-se a multiporaridade de algumas transições pertencentes ao núcleo 64Cu. A descrição do núcleo 64Cu foi feita através do Modelo de Camada em Larga Escala. Para previsões deste modelo, utilizou-se o código Antoine e as interações residuais GXPF1 e fpg, desenvolvidas para as camadas pf e pfg, respectivamente. Os resultados obtidos com este modelo mostram que os estados excitados do núcleo 64Cu podem ser descritos como excitações do tipo partícula-buraco e são caracterizados por funções de onda com alto grau de mistura de configurações. / The main goal of this work is a study of the odd-odd nucleus 64Cu using in-beam gamma-ray spectroscopy. For this study, the fusion-evaporation reaction 51V(16O, 2pn)64Cu at 70 MeV bombarding energy has been performed with the 8-UD Pelletron TANDEM accelerator of the Universidade de São Paulo. The target consisted of a 4.4 mg/cm2 foil of 51V with a 7.0 mg/cm2 Au backing. Gamma-ray and evaporated charged particle coincidences were measured with the SACI-PERERE -ray spectrometer, composed of 4 Comptonsuppressed GeHP and an ancillary system of 11 E-E plastic phoswich scintillators. Ten new -rays and a new excited state have been assigned to 64Cu. Due to low statistics, only one transition could be placed in the known level scheme of 64Cu. The gammaray multipolarities were determined using the Directional Correlations of -rays from Oriented States of Nuclei (DCO) technique. The results were compared with Shell Model calculations using the Antoine code with the GXPF1 and fpg effective interactions, developed for use in the pf shell and pfg shell, respectively. The results obtained with this model have shown that the 64Cu excited states could be described by particle-hole excitations and these states are characterized by wave functions with configuration mixing.

Analisamos de maneira qualitativa as propriedades da base de estados do modelo simplético SCM, através de um cálculo em seu submodelo Sp(l,R) que aplicamos à descrição das propriedades espectroscópicas do núcleo 12 ANTPOT C. Através de um cálculo em uma base deformada, mostramos que a necessidade de considerarmos estados de base altamente excitados para descrevermos os observáveis pelo SCM, se devia a uma falta de otimização da base. A base otimizada é dada pela projeção em momento angular de estados de fonons deformados, determinados pelo método da projeção antes da variação. Esses fonons estão relacionados com as ressonâncias gigantes monopolares e quadrupolares. Mostramos que para descrevermos adequadamente as transições eletromagnéticas entre estados pertencentes a representações irredutíveis distintas de Sp(3,R) , era necessário considerar a mistura de representações. Através de um cálculo exploratório, analisamos o efeito dessa mistura nas transições monopolares e quadrupolares entre o estado intruso O IND 2 POT + , que é associado a uma representação prolata de Sp(l,R) e os estados da banda rotacional fundamental, que são associados a uma representação oblata de Sp(l,R). / In this thesis, we present a qualitative analysis of an Sp(l,R) calculation, applied to the description of the spectroscopic properties of 12 ANTPOT C . Based on a calculation in a deformed harmonic oscillator basis, we show that, the need to include highly excited basis states to describe the properties of 12 ANTPOT C, is due to a lack of optimization of the spherical basis. The optimized basis is given by the angular momentum projection of deformed phonon states, determined by the method of variation after projection, where the deformed phonons are associated to giant monopole and quadrupole resonances. We have also shown that, for an adequate description of the electromagnetic transitions between states belonging to different irreducible representations of Sp(3,R), it is necessary to consider mixture of representations. In a preliminary calculation we discuss the effect of this mixture to the monopole and quadrupole transitions between the intruder state 0 IND 2 POT + and the states of the ground rotational band associated, respectively, to a prolate and oblate representations.

The nuclear structme of 17Ne and 13O has been studied by the 20Ne(3He,6He)17Ne and 16O(3He,6He)13O reactions at 70 MeV and 80 MeV, respectively. Fifteen levels were identified, and angular distributions have been measured for nine of these levels in 17Ne, while for 13O eighteen levels were identified, but angular distributions were obtained for only ten levels. The observed transferred angular momentum dependence of these angular distributions allowed spin-parity assignments. The T= 3/2 quartet analog states in mass A=17 have been completed for six levels. The results of the isobaric multiplet mass equation analysis show a slight linear dependence of the b and c coefficients on the excitation energy. It was found that the coefficients for the positive parity states do not follow the systematics of the negative parity states. The absolute values of the b and c coefficients are larger for the positive parity states. An analysis in terms of Coulomb energy displacement indicates a possible configuration mixing or core polarization effect in these states. The d coefficient also has a large deviation from zero, only for the positive parity states indicating a possible expansion of the radial wavefunction or some isospin symmetry breaking effects. Further detailed theoretical interpretation of these effects may bring valuable information about the configuration and structure of these states. The leveis in 13O were measured with good energy resolution, and thus, it was possible to identify the first excited state unambiguously. However, if one identifies this state as the analog of the known first excited state in the mirror nucleus 13B, this leads to one of the largest level shifts known in literature. / The nuclear structme of 17Ne and 13O has been studied by the 20Ne(3He,6He)17Ne and 16O(3He,6He)13O reactions at 70 MeV and 80 MeV, respectively. Fifteen levels were identified, and angular distributions have been measured for nine of these levels in 17Ne, while for 13O eighteen levels were identified, but angular distributions were obtained for only ten levels. The observed transferred angular momentum dependence of these angular distributions allowed spin-parity assignments. The T= 3/2 quartet analog states in mass A=17 have been completed for six levels. The results of the isobaric multiplet mass equation analysis show a slight linear dependence of the b and c coefficients on the excitation energy. It was found that the coefficients for the positive parity states do not follow the systematics of the negative parity states. The absolute values of the b and c coefficients are larger for the positive parity states. An analysis in terms of Coulomb energy displacement indicates a possible configuration mixing or core polarization effect in these states. The d coefficient also has a large deviation from zero, only for the positive parity states indicating a possible expansion of the radial wavefunction or some isospin symmetry breaking effects. Further detailed theoretical interpretation of these effects may bring valuable information about the configuration and structure of these states. The leveis in 13O were measured with good energy resolution, and thus, it was possible to identify the first excited state unambiguously. However, if one identifies this state as the analog of the known first excited state in the mirror nucleus 13B, this leads to one of the largest level shifts known in literature.

Des calculs théoriques utilisant la méthode de champ moyen ont suggérée l'existence des formes du noyau avec la symétrie tétraédrique et/ou octraédrique dans la région des terres rares au voisinage des noyaux 156Gd et 160Yb. Dans les noyaux avec une symétrie tétraédrique pure, des transitions intra-bande E2 à bas spin dans des bandes de parité négative disparaissent ou sont très faibles. Ce travail est dédié à une recherche expérimentale de la symétrie tétraédrique dans le noyau 156Gd. Une expérience a été faite à Jyväskylä avec le multi-détecteur JUROGAM, sur la réaction de fusion - évaporation 154Sm(, 2n)156Gd. L'analyse des données, a établi les rapports d'embranchement de deux bandes de parité négative et a permis, par distribution angulaire, de connaître la nature d'une nouvelle transition. Les rapports d'embranchement obtenus sont comparables avec ceux des expériences précédentes et quelques limites supérieures ont été déterminées. L'absence de transitions à bas spin (I$^{pi}<9$) dans la bande de parité négative à spin impair a été confirmée. Ces résultats ont renforcé l'hypothèse d'une symétrie tétraédrique dans le noyau 156Gd. La spectroscopie gamma est l'outil majeure utilisé dans ce travail. Les principes ainsi qu'une étude de simulation réaliste sont détaillés dans ce manuscrit. La simulation avec des événements réalistes a été faite pour comparer la fonction de réponse de deux types de multidétecteurs EUROBALL et AGATA. Les résultats montrent que sous certain conditions la phase démonstrateur d'AGATA peut être utilisée pour la recherche d'événements rares. / Theoretical calculations using realistic mean-eld method suggest the existence of nuclear shapes with tetrahedral and/or octahedral symmetries in some rare earth nuclei around 156Gd and 160Yb. In nuclei with exact tetrahedral symmetry, the E2 intra-band transitions are predicted to vanish completely or to be very weak. This work is devoted to an experimental research of the tetrahedral symmetry in the nucleus 156Gd. An experiment has been carried out with the JUROGAM - rays detector at Jyväskylä by using the fusion - evaporation reaction 154Sm(, 2n)156Gd. In analysis, the branching ratios of two parity negative bands were determined, the angular distribution has been analyzed to determine the nature of one inter-band transition between these two bands. The transitions strength ratios determined are of the same order of magnitude as previous experiments, and some upper limits have been established for the lowest spin. The missing of the E2 transitions below the (I$^{pi}<9$)states in the odd spin parity negative band were conrmed. The results of this work reinforced the hypothesis of the tetrahedral symmetry in the nucleus 156Gd. -ray spectroscopy is the major tool used for this work. Detection principles and -ray simulations are detailed in the document. The simulation, based on realistic events, has been realised to compare the response function of two multidetectors EUROBALL and AGATA. The results show that under certain conditions the rst phase of AGATA (demonstrator) is also a tool to search for rare events

The 14Be nucleus is a good candidate for having a halo structure. When a three- body model is used to calculate the properties of this nucleus, it relies on a knowledge of the potentials involved and hence on the structure of the underlying two-body subsystem 13Be. Previuosly published calculations showed that, in order to describe 13Be and 14Be simultaneously, 13Be had to be either bound, or have a p-shell ground state, which is not consistent with the experimental data. In this thesis 13Be and 14Be are described as one or two neutrons outside a deformed 12Be core. The idea of the method is that deformation of the core couples the neutron motion with core excitations. The core is treated as a rigid rotor here, and for the neutron-core interaction we used a deformed Woods-Saxon potential. We explore the potential parameters compatible with the known properties of 12Be, 13Be and 14Be. The three-body model for 14Be used a hyperspherical expansion including core degrees of freedom. Compared to the previous works, we find that both 14Be and 13Be are described simultaneously if the 12Be core has large positive quadrupole deformation. The resulting three-body model wave function was used in calculations of reaction observables. The reaction cross section of 14Be on a carbon target at 850 MeV/A was calculated in a four-body Glauber model, after the formalism was extended to include core degrees of freedom. The calculated reaction cross section agrees with the experiment. One-neutron knockout reactions of the Borromean nuclei 6He, 11Li and 14Be are discussed. The integrated cross sections for stripping and diffraction processes are calculated in the four-body Glauber model including core excited components in the wave function for 14Be. The neutron-core relative energy distributions within 5He, 10Li and 13Be following one-neutron removal, are calculated by a spectator model in the eikonal limit. The integrated cross sections and energy distributions for 6He are in agreement with the experiment. The results for 11Li and 14Be breakup demonstrated that the further investigation of the reaction model is needed.