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This thesis is missing pages 152 and 194, neither of which are in the other copies of this thesis. -Digitization Centre / Restricted Hartree-Fock calculations for light even-even nuclei have been carried out using simple effective interactions. The primary emphasis is on the nature of the intrinsic states, and, in particular, on the deformation of these states. In order to find the equilibrium deformations a representation of deformed cylindrically symmetric states is used. A self-consistent technique for finding the equilibrium size and shape is proposed. There is a strong secondary emphasis on the role of the effective interaction, and four rather different interactions are used. Two of these incorporate a dependence on the density on the nuclear system, and this density dependence improves the systematic behaviour of the energies and sizes of light nuclei. / Thesis / Doctor of Philosophy (PhD)

Magnetic deflection techniques have been employed to measure proton angular distributions from some (d,p) and (t,p) reactions. In many cases the distributions exhibit typical stripping patterns and their analysis in terms of plane wave and distorted wave theories of stripping has enabled spin and parity assignments to be made for a number of excited nuclear levels. These theories are briefly outlined in Chapter 1 of this thesis and the experimental procedures are described in Chapter 2. The (d,p) reaction has been studied at an incident energy of 3 MeV with target nuclei B¹⁰, B¹¹, C¹², C¹⁴ and O¹⁶ and an account of this investigation is given in Chapter 3. Although the plane wave theory gives a good account of the angular distributions corresponding to the low-Q transitions (say Q ≤ 2 MeV) it is not a good approximation for the high-Q transitions. This is in accord with Wilkinson's suggestion that distortion effects should be quite small even at low deuteron bombarding energies providing also that the reaction Q-value is low. Agreement with the high-Q ground state distribution for B¹¹ could only be obtained with distorted wave theory if a cut-off radius were used. This may indicate the need for taking into account finite range effects in this theory. The Se⁷⁶(d,p)Se⁷⁷ reaction has been studied at 7.8 MeV bombarding energy and eleven angular distributions corresponding to the ground and ten excited states of Se⁷⁷ have been analysed using distorted wave theory. This investigation is described in Chapter 4. Deuteron and proton elastic scattering measurements have also been made from Se⁷⁶ and Se⁷⁷, respectively. The optical model potentials required to describe the stripping distributions are found to be entirely consistent with those derived from the elastic scattering data. In Chapter 5 an account is given of a systematic study of the (t,p) reaction for target nuclei B¹⁰, B¹¹, C¹², C¹⁴, O¹⁸, Si²⁸, Si²⁹ and Ca⁴⁰. This investigation was carried out at triton energies between 8 and 13 MeV. In the majority of cases the angular distributions are observed to be strongly forward peaked and these have been analysed in terms of Newn's plane wave theory of double stripping. With the exception of the B¹⁰(t,p)B¹² and C¹²(t,p)C¹⁴ reactions the agreement in general is found to be very satisfactory. In addition to the ground state, nine excited states of B¹³ were observed and information on the spins and parities of six of them have been obtained. The excitation energies of only four excited states were previously known. C¹⁶ had not previously been observed and the present investigation has shown this to be stable by 4.25 MeV against neutron emission, in good agreement with the predicitons of Zel'dovich. The ground state was confirmed to be O⁺ and the first excited state at 1.753 MeV excitation is probably 2⁺. The delayed neutron emission for C¹⁶ has also been studied and its measured half-life found to be 0.74 ± 0.03 seconds. Angular distributions were measured for the ground and nine excited states of O¹⁸ and ground and four excited states of O²⁰. Only one state, at 4.45 MeV excitation in O¹⁸, could not be interpreted by a double stripping process. Spin-parity assignments from the reactions Si²⁸(t,p)Si³⁰, Si²⁹(t,p)Si³¹ and Ca⁴⁰(t,p)Ca⁴² are in good agreement with earlier measurements. The Be¹¹ nucleus has been studied using the Be⁹(t,p)Be¹¹ reaction at 6 and 10 MeV triton energies. This investigation is described in Chapter 6. At the higher bombarding energy six energy levels of Be¹¹ were observed and three of these were found to have natural widths in excess of 10 keV. Proton distributions were measured at both energies for the ground and first excited states. Their interpretation in terms of a double-stripping mechanism is complicated by the presence of large backward peaks but the distributions are not inconsistent with the spins of 1/2 ^- and 1/2 ⁺, respectively, predicted by Talmi and Unna. Angular distributions from the C¹²(t,α)B¹¹ reaction at 10 MeV triton energy were also studied in an attempt to obtain information on the spins and parities of some of the states in B¹¹ which are involved in the beta-decay of Be¹¹. In Chapter 7 an account is given of triton elastic scattering measurements made at incident energies 6.4, 6.8 and 7.2 MeV from C¹², O¹⁶, O¹⁸, F¹⁹ and Ca⁴⁰. Only the scattering from F¹⁹ and Ca⁴⁰ can be described by the optical model, although the optical parameters are ambiguous. The scattering distributions from O¹⁶ at all three energies exhibit large backward peaks suggestive of compound resonance scattering. Optical model parameters derived from the triton scattering data have been uesd by Rook and Mitra to analyse the proton distributions from Ca⁴⁰(t,p)Ca⁴², using distorted wave theory. A brief account of the results is given in Appendix C.

abstract: I describe the first continuous space nuclear path integral quantum Monte Carlo method, and calculate the ground state properties of light nuclei including Deuteron, Triton, Helium-3 and Helium-4, using both local chiral interaction up to next-to-next-to-leading-order and the Argonne $v_6'$ interaction. Compared with diffusion based quantum Monte Carlo methods such as Green's function Monte Carlo and auxiliary field diffusion Monte Carlo, path integral quantum Monte Carlo has the advantage that it can directly calculate the expectation value of operators without tradeoff, whether they commute with the Hamiltonian or not. For operators that commute with the Hamiltonian, e.g., the Hamiltonian itself, the path integral quantum Monte Carlo light-nuclei results agree with Green's function Monte Carlo and auxiliary field diffusion Monte Carlo results. For other operator expectations which are important to understand nuclear measurements but do not commute with the Hamiltonian and therefore cannot be accurately calculated by diffusion based quantum Monte Carlo methods without tradeoff, the path integral quantum Monte Carlo method gives reliable results. I show root-mean-square radii, one-particle number density distributions, and Euclidean response functions for single-nucleon couplings. I also systematically describe all the sampling algorithms used in this work, the strategies to make the computation efficient, the error estimations, and the details of the implementation of the code to perform calculations. This work can serve as a benchmark test for future calculations of larger nuclei or finite temperature nuclear matter using path integral quantum Monte Carlo. / Dissertation/Thesis / Doctoral Dissertation Physics 2020

This thesis describes the investigation of the Y-rays arising from the inelastic scattering of a fission produced neutron spectrum by stable light nuclei in the region 2 > 15 to 17. The high resolution of a Ge(Li) detector was employed to indicate some discrepancies with previously reported data for the decay schemes of the above mentioned nuclei. The correlation between the primary population values of the levels and their spin and parity assignments was also considered. / Thesis / Master of Science (MSc)

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.

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.

Foram realizadas medidas de espalhamento para o sistema 7Be + 9Be em ECM = 13 MeV (Elab = 23,1 MeV). A experiência foi realizada utilizando o acelerador Pelletron do Instituto de Física da Universidade de São Paulo em conjunto com o sistema RIBRAS (Radioactive Ion Beams in Brasil). As seções de choque 9Be(7Be,7Be)9Be e de transferência elástica 9Be(7Be,9Be)7Be foram obtidas e utilizadas na construção da distribuição angular completa, na região angular entre 15° até 160°. Cálculos com modelo óptico foram realizados utilizando diversos potenciais encontrados na literatura. Devido à energia do primeiro estado excitado do 7Be (Ex = 0,429 MeV) ser menor que a resolução energética do experimento, a seção de choque elástica não pode ser separada experimentalmente da inelástica, porém, através de cálculos de canais acoplados foi comprovado que o espalhamento inelástico não tem influência considerável na distribuição angular elástica. Por fim, através de cálculos de DWBA para a transferência elástica, foram obtidos fatores espectroscópicos de dois nêutrons no 9Be . Os resultados indicam que os potenciais de espalhamento e do estado ligado têm grande influência no canal de transferência elástica. / 7Be + 9Be scattering measurements were performed at ECM = 13 MeV (Elab = 23.1 MeV). The experiment was carried out in the 8UD Pelletron accelerator of the Institute of Physics of the University of São Paulo with the RIBRAS (Radioactive Ion Beams in Brasil) system. The elastic 9Be(7Be,7Be)9Be and elastic transfer 9Be(7Be,9Be)7Be cross sections were obtained and used to construct the complete angular distribution, in the angular range from 15°$ to 160°. Optical model calculations were performed using several optical potentials from the literature. Due to the first low lying excited state of 7Be (Ex = 0.429 MeV) the elastic cross section cannot be experimentally separated of the inelastic part. However, coupled channel calculations show that the contribution of the inelastic scattering has no major influence on the elastic angular distribution. Finally, the DWBA calculations for elastic transfer provide the two neutrons spectroscopic factors in 9Be. The results indicate that the transfer channel is sensitive to the bound state and optical potentials used in the analysis.

Foram realizadas medidas de espalhamento para o sistema 7Be + 9Be em ECM = 13 MeV (Elab = 23,1 MeV). A experiência foi realizada utilizando o acelerador Pelletron do Instituto de Física da Universidade de São Paulo em conjunto com o sistema RIBRAS (Radioactive Ion Beams in Brasil). As seções de choque 9Be(7Be,7Be)9Be e de transferência elástica 9Be(7Be,9Be)7Be foram obtidas e utilizadas na construção da distribuição angular completa, na região angular entre 15° até 160°. Cálculos com modelo óptico foram realizados utilizando diversos potenciais encontrados na literatura. Devido à energia do primeiro estado excitado do 7Be (Ex = 0,429 MeV) ser menor que a resolução energética do experimento, a seção de choque elástica não pode ser separada experimentalmente da inelástica, porém, através de cálculos de canais acoplados foi comprovado que o espalhamento inelástico não tem influência considerável na distribuição angular elástica. Por fim, através de cálculos de DWBA para a transferência elástica, foram obtidos fatores espectroscópicos de dois nêutrons no 9Be . Os resultados indicam que os potenciais de espalhamento e do estado ligado têm grande influência no canal de transferência elástica. / 7Be + 9Be scattering measurements were performed at ECM = 13 MeV (Elab = 23.1 MeV). The experiment was carried out in the 8UD Pelletron accelerator of the Institute of Physics of the University of São Paulo with the RIBRAS (Radioactive Ion Beams in Brasil) system. The elastic 9Be(7Be,7Be)9Be and elastic transfer 9Be(7Be,9Be)7Be cross sections were obtained and used to construct the complete angular distribution, in the angular range from 15°$ to 160°. Optical model calculations were performed using several optical potentials from the literature. Due to the first low lying excited state of 7Be (Ex = 0.429 MeV) the elastic cross section cannot be experimentally separated of the inelastic part. However, coupled channel calculations show that the contribution of the inelastic scattering has no major influence on the elastic angular distribution. Finally, the DWBA calculations for elastic transfer provide the two neutrons spectroscopic factors in 9Be. The results indicate that the transfer channel is sensitive to the bound state and optical potentials used in the analysis.

Durant le milieu des années quatre-vingt, le développement des faisceaux radioactifs a permis l’étude de noyaux exotiques situés à la limite de la stabilité nucléaire. Parmi ceux-ci, l’6He possède une structure particulière constituée d’un cœur α et de deux neutrons de valence faiblement liés. Il fait partie des noyaux à halo. Il s’agit également d’un système possédant au moins un état lié à trois amas (α+n+n) alors qu’aucun des sous-systèmes à deux amas (α+n ou n+n) n’est lié. Un tel système est dit borroméen. Deux autres exemples de systèmes borroméens sont le 9Be=n+α+α et le 12C=α+α+α. Les noyaux borroméens possèdent un ou deux états liés dont les propriétés sont maintenant bien connues. En revanche, les propriétés des états du continu le sont moins. Il existe aussi des systèmes à trois amas non liés mais caractérisés par une ou plusieurs résonances étroites à basse énergie. Par exemple, nous pouvons citer le 6Be=α+p+p et le 9B=p+α+α qui sont les noyaux miroirs de l’6He et du 9Be. L’étude des états du continu à trois corps est un sujet important de la recherche en physique nucléaire actuelle.<p><p>D’un point de vue théorique, les modèles en amas permettent de décrire les noyaux possédant une structure à plusieurs corps. En particulier, les modèles en amas microscopiques tiennent compte de tous les nucléons et le principe de Pauli est traité de manière exacte à l’aide de l’opérateur d’antisymmétrisation. Les modèles microscopiques, plus réalistes, requièrent de longs temps de calculs et sont difficiles à implémenter.<p><p>Dans le présent travail, nous avons développé une méthode de calcul semi-analytique plus rapide et plus précise qu’une méthode purement numérique. Notre modèle est basé sur la méthode des coordonnées génératrices dans le formalisme hypersphérique. Les états du continu sont étudiés à l’aide de la méthode des déphasages. Ces derniers sont obtenus à partir de la méthode de la matrice R microscopique.<p><p>Avec ce modèle, nous avons étudié les effets d’antisymmétrisation dans les noyaux d’6He, 6Be, 9Be, 9B et 12C. Nous avons montré que ces effets restent non négligeables mêmes à grandes distances dans le cas des noyaux 9Be, 9B et du 12C. <p><p>Nous avons ensuite étudié les états du continu du 6He et du 6Be. Nous avons déterminé des valeurs théoriques pour les propriétés des résonances connues expérimentalement. Nos résultats sont en bon accord avec l’expérience. Nous avons également observé des structures larges dans les déphases associés aux états 0+ et 1- de l’6He et 1- du 6Be.<p><p>Finalement, nous avons étudié les états du 12C à travers la collision 8Be+α. Dans notre calcul, le 8Be est considéré comme un système comportant deux amas α. Nous avons montré que les états 2+ et 4+ du 8Be devaient être pris en compte pour une étude appropriée des états 0+, 2+ et 4+ du 12C. / Doctorat en Sciences / info:eu-repo/semantics/nonPublished