Submitted by Biblioteca do Instituto de Física (bif@ndc.uff.br) on 2017-05-26T18:58:18Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) dissertacao_MRCortes_vs final.pdf: 6401769 bytes, checksum: 5e83e87a68b85ac438726ec9e7a0ab44 (MD5) / Made available in DSpace on 2017-05-26T18:58:18Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) dissertacao_MRCortes_vs final.pdf: 6401769 bytes, checksum: 5e83e87a68b85ac438726ec9e7a0ab44 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Esta dissertação é um estudo teórico de efeitos de canais acoplados em colisões de íons pesados, apresentando a descrição simplificada de um canal, e a mais realística de canais acoplados, realizamos uma investigação detalhada dos efeitos de acoplamento de canais em dois sistemas. O primeiro corresponde à colisão de um projétil esférico com um alvo fortemente deformado. Neste caso dinâmica de colisão é denominada pelos acoplamentos com os canais associados à banda rotacional do alvo. O segundo envolve um núcleo instável fracamente ligado, que apresenta um halo de próton. Neste caso, os efeitos de canais acoplados se devem ao acoplamento com o canal de breakup. Calculamos seções de choque de canais acoplados considerando os principais canais de reação de cada sistema, e comparamos os resultados com previsões da teoria mais simples de um canal. Calculamos também potenciais de polarização realísticos e e testamos sua validade no estudo do espalhamento elástico. / This thesis is a theoretical study of channel coupling effects in heavy ion collisions. We begin with a brief review of quantum theory of heavy ion scattering, considering the simplified single-channel description and the more realistic approach of the coupled channel method. The theories are then applied to two systems. The first corresponds to the collision of a spherical projectile with a highly deformed target. In this case the collision dynamics is dominated by the couplings with the channels associated with the rotational band of the target. The second system corresponds to collisions of an unstable weakly bound nucleus, which presents a proton-halo. In this case, the channel coupling effects are due to the breakup channel. In each case, we perform coupled channel calculations involving the most relevant channels, and compare the results to the predictions of the simpler single approach. We evaluate also realistic polarization potentials, and check their validities in studies of elastic scattering.

Neste trabalho, a significativa importância dos processos de breakup, fusão incompleta e transferência para o sistema de massa intermediaria 'ANTPOT.6 Li' + 'ANTPOT.59 Co', envolvendo o núcleo estável e fracamente ligado 'ANTPOT.6 Li', é investigada em energias próximas à barreira Coulombiana. Foram realizadas medidas das distribuições angulares das partículas leves nas energias 'E IND.lab' = 18, 22, 26 e 30 MeV, espalhamento elástico nas energias 'E IND.lab' = 12, 18, 22, 26 e 30 MeV e medidas de fusão total (completa+incompleta), por meio do método de espectroscopia 'gama', nas energias 12 MeV < 'E IND.lab' < 26 MeV. As previsões para evaporação do núcleo composto por partículas leves foram baseadas no modelo estatístico, e uma descrição simultânea dos processos de espalhamento elástico, fusão e breakup foi obtida por meio de cálculos de canais acoplados com discretização do contínuo (CDCC). Com base nestes resultados, realizamos a separação das contribuições dos processos de breakup, fusão incompleta e transferência. Por meio de medidas de coincidência entre d e 'alfa', obtivemos as distribuições angulares para o breakup seqüencial do 6Li. Os processos de espalhamento elástico e fusão total do sistema 'ANTPOT.7 Li' + 'ANTPOT.59 Co', e suas descrições sob o formalismo de CDCC também foram estudadas / In the present work, the relative importance of breakup, incomplete fusion and transfer processes is investigated in the vicinity of the Coulomb barrier for the intermediate mass target 6Li + 59Co reaction involving the weakly bound 6Li. Measurements for light particle angular distributions were performed at energies Elab = 18, 22, 26 e 30 MeV,elastic scattering at energies Elab = 12, 18, 22, 26 e 30 MeV and total fusion (complete+incomplete), by the -ray spectroscopy method, at energies 12 MeV < Elab < 26 MeV. The compound nucleus decay by light particles was predicted using the statistical model, and a simultaneous description of scattering, fusion and breakup was obtained by means of continuum discretized coupled-channels calculations (Cdcc). Based on these results, the contribution of non-capture breakup, incomplete fusion and transfer were disentangled. The 6Li sequential breakup cross sections were obtained by means of ´alfa´-d coincidence measurements. The Cdcc descriptions of 7Li + 59Co elastic scattering and fusion processes were also subject of study.

Neste trabalho, a significativa importância dos processos de breakup, fusão incompleta e transferência para o sistema de massa intermediaria 'ANTPOT.6 Li' + 'ANTPOT.59 Co', envolvendo o núcleo estável e fracamente ligado 'ANTPOT.6 Li', é investigada em energias próximas à barreira Coulombiana. Foram realizadas medidas das distribuições angulares das partículas leves nas energias 'E IND.lab' = 18, 22, 26 e 30 MeV, espalhamento elástico nas energias 'E IND.lab' = 12, 18, 22, 26 e 30 MeV e medidas de fusão total (completa+incompleta), por meio do método de espectroscopia 'gama', nas energias 12 MeV < 'E IND.lab' < 26 MeV. As previsões para evaporação do núcleo composto por partículas leves foram baseadas no modelo estatístico, e uma descrição simultânea dos processos de espalhamento elástico, fusão e breakup foi obtida por meio de cálculos de canais acoplados com discretização do contínuo (CDCC). Com base nestes resultados, realizamos a separação das contribuições dos processos de breakup, fusão incompleta e transferência. Por meio de medidas de coincidência entre d e 'alfa', obtivemos as distribuições angulares para o breakup seqüencial do 6Li. Os processos de espalhamento elástico e fusão total do sistema 'ANTPOT.7 Li' + 'ANTPOT.59 Co', e suas descrições sob o formalismo de CDCC também foram estudadas / In the present work, the relative importance of breakup, incomplete fusion and transfer processes is investigated in the vicinity of the Coulomb barrier for the intermediate mass target 6Li + 59Co reaction involving the weakly bound 6Li. Measurements for light particle angular distributions were performed at energies Elab = 18, 22, 26 e 30 MeV,elastic scattering at energies Elab = 12, 18, 22, 26 e 30 MeV and total fusion (complete+incomplete), by the -ray spectroscopy method, at energies 12 MeV < Elab < 26 MeV. The compound nucleus decay by light particles was predicted using the statistical model, and a simultaneous description of scattering, fusion and breakup was obtained by means of continuum discretized coupled-channels calculations (Cdcc). Based on these results, the contribution of non-capture breakup, incomplete fusion and transfer were disentangled. The 6Li sequential breakup cross sections were obtained by means of ´alfa´-d coincidence measurements. The Cdcc descriptions of 7Li + 59Co elastic scattering and fusion processes were also subject of study.

In this thesis we study radiative decays of the exotic meson X(3872) into $J/ \\psi \\gamma$ and $\\psi(2S) \\gamma$ using an effective field theory framework. Assuming the exotic meson to be primarily a molecular state of the mesons $D$ and $ \\bar{D}^{*}$, we perform a renormalization analysis to estimate the contribution of the short-distance physics. This is done using two different prescriptions, the popular $\\overline{MS}$ scheme, valid only for perturbative calculations, and the PDS scheme, used in EFTs for loosely-bound systems and intrinsically non-perturbative. We show that, without a short-distance contact interaction, the observables become very dependent on the regularization scale, therefore demanding proper renormalization. We include two short-distance contact terms, one for each decay channel, and impose the renormalization condition within both $\\overline{MS}$ and PDS schemes. We obtain the behavior of the contact term with the renormalization scale $\\mu$, which can be useful in guiding models for the short-distance part. We note, however, distinct behaviors between $\\overline{MS}$ and PDS. Both also lead to lower limits in the decay widths that could, in principle, be tested experimentally. / In this thesis we study radiative decays of the exotic meson X(3872) into $J/ \\psi \\gamma$ and $\\psi(2S) \\gamma$ using an effective field theory framework. Assuming the exotic meson to be primarily a molecular state of the mesons $D$ and $ \\bar{D}^{*}$, we perform a renormalization analysis to estimate the contribution of the short-distance physics. This is done using two different prescriptions, the popular $\\overline{MS}$ scheme, valid only for perturbative calculations, and the PDS scheme, used in EFTs for loosely-bound systems and intrinsically non-perturbative. We show that, without a short-distance contact interaction, the observables become very dependent on the regularization scale, therefore demanding proper renormalization. We include two short-distance contact terms, one for each decay channel, and impose the renormalization condition within both $\\overline{MS}$ and PDS schemes. We obtain the behavior of the contact term with the renormalization scale $\\mu$, which can be useful in guiding models for the short-distance part. We note, however, distinct behaviors between $\\overline{MS}$ and PDS. Both also lead to lower limits in the decay widths that could, in principle, be tested experimentally.

In this thesis we study radiative decays of the exotic meson X(3872) into $J/ \\psi \\gamma$ and $\\psi(2S) \\gamma$ using an effective field theory framework. Assuming the exotic meson to be primarily a molecular state of the mesons $D$ and $ \\bar{D}^{*}$, we perform a renormalization analysis to estimate the contribution of the short-distance physics. This is done using two different prescriptions, the popular $\\overline{MS}$ scheme, valid only for perturbative calculations, and the PDS scheme, used in EFTs for loosely-bound systems and intrinsically non-perturbative. We show that, without a short-distance contact interaction, the observables become very dependent on the regularization scale, therefore demanding proper renormalization. We include two short-distance contact terms, one for each decay channel, and impose the renormalization condition within both $\\overline{MS}$ and PDS schemes. We obtain the behavior of the contact term with the renormalization scale $\\mu$, which can be useful in guiding models for the short-distance part. We note, however, distinct behaviors between $\\overline{MS}$ and PDS. Both also lead to lower limits in the decay widths that could, in principle, be tested experimentally. / In this thesis we study radiative decays of the exotic meson X(3872) into $J/ \\psi \\gamma$ and $\\psi(2S) \\gamma$ using an effective field theory framework. Assuming the exotic meson to be primarily a molecular state of the mesons $D$ and $ \\bar{D}^{*}$, we perform a renormalization analysis to estimate the contribution of the short-distance physics. This is done using two different prescriptions, the popular $\\overline{MS}$ scheme, valid only for perturbative calculations, and the PDS scheme, used in EFTs for loosely-bound systems and intrinsically non-perturbative. We show that, without a short-distance contact interaction, the observables become very dependent on the regularization scale, therefore demanding proper renormalization. We include two short-distance contact terms, one for each decay channel, and impose the renormalization condition within both $\\overline{MS}$ and PDS schemes. We obtain the behavior of the contact term with the renormalization scale $\\mu$, which can be useful in guiding models for the short-distance part. We note, however, distinct behaviors between $\\overline{MS}$ and PDS. Both also lead to lower limits in the decay widths that could, in principle, be tested experimentally.

Neste trabalho apresentamos uma versão do Teorema de Poincaré-Bendixson para campos vetoriais contínuos na garrafa de Klein. Como conseqüência, mostramos que a garrafa de Klein não possui campo vetorial contínuo com trajetória injetiva recorrente / We present a version of the Poincaré-Bendixson Theorem on the Klein bottle for continuous vector fields. As a consequence, we obtain the fact that the Klein bottle does not admit continuous vector fields having a recurrent injective trajectory

Neste trabalho apresentamos uma versão do Teorema de Poincaré-Bendixson para campos vetoriais contínuos na garrafa de Klein. Como conseqüência, mostramos que a garrafa de Klein não possui campo vetorial contínuo com trajetória injetiva recorrente / We present a version of the Poincaré-Bendixson Theorem on the Klein bottle for continuous vector fields. As a consequence, we obtain the fact that the Klein bottle does not admit continuous vector fields having a recurrent injective trajectory

Este trabalho tem dois objetivos principais. Primeiramente, analisamos a preservação de conexidade na extensão de espaços compactos por funções contínuas, técnica utilizada por Koszmider para obter $C(K)$ indecomponível com poucos operadores. Mostramos que para todo compacto metrizável $K$ existe um desconexo $L$ que é obtido a partir de $K$ por uma quantidade finita de extensões por funções contínuas. Em seguida, enfatizamos a construção de espaços de Banach da forma $C(K)$ com poucos operadores, com a propriedade de que $C(L)$ tem poucos operadores, para todo fechado $L \\subseteq K$. Assumindo o princípio diamante construímos uma família $(K_\\xi)_{\\xi < 2^{(2^\\omega)}}$ de espaços conexos e hereditariamente Koszmider tais que todo operador de $C(K_\\xi)$ em $C(K_\\eta)$ é fracamente compacto, para $\\xi$ diferente de $\\eta$. Em particular, $(C(K_\\xi))_{\\xi < 2^{(2^\\omega)}}$ é uma família de espaços de Banach indecomponíveis e dois a dois essencialmente incomparáveis, e cada espaço $K_\\xi$ responde positivamente ao problema de Efimov. Apresentamos também um método de construção via forcing de um espaço compacto e conexo $K$ hereditariamente fracamente Koszmider. / This work has two main objectives. First, we analyze the preservation of connectedness in the extension of compact spaces by continuous functions, a technique used by Koszmider to obtain an indecomposable Banach space $C(K)$ with few operators. We show that for any metrizable compactum $K$ there exists a disconnected $L$ which is obtained from $K$ by finitely many extensions by continuous functions. Next, we emphasize the construction of Banach spaces of the form $C(K)$ with the property that $C(L)$ has few operators, for every closed $L \\subseteq K$. Assuming the diamond principle we construct a family $(K_\\xi)_{\\xi < 2^{(2^\\omega)}}$ of connected and hereditarily Koszmider spaces such that every operator from $C(K_\\xi)$ into $C(K_\\eta)$ is weakly compact, for $\\xi$ different from $\\eta$. In particular, $(C(K_\\xi))_{\\xi < 2^{(2^\\omega)}}$ is a family of indecomposable and pairwise essentially incomparable Banach spaces, and each space $K_\\xi$ responds positively to the Efimov\'s problem. We also present a method of construction using forcing of a compact and connected hereditarily weakly Koszmider space $K$.

Este trabalho tem dois objetivos principais. Primeiramente, analisamos a preservação de conexidade na extensão de espaços compactos por funções contínuas, técnica utilizada por Koszmider para obter $C(K)$ indecomponível com poucos operadores. Mostramos que para todo compacto metrizável $K$ existe um desconexo $L$ que é obtido a partir de $K$ por uma quantidade finita de extensões por funções contínuas. Em seguida, enfatizamos a construção de espaços de Banach da forma $C(K)$ com poucos operadores, com a propriedade de que $C(L)$ tem poucos operadores, para todo fechado $L \\subseteq K$. Assumindo o princípio diamante construímos uma família $(K_\\xi)_{\\xi < 2^{(2^\\omega)}}$ de espaços conexos e hereditariamente Koszmider tais que todo operador de $C(K_\\xi)$ em $C(K_\\eta)$ é fracamente compacto, para $\\xi$ diferente de $\\eta$. Em particular, $(C(K_\\xi))_{\\xi < 2^{(2^\\omega)}}$ é uma família de espaços de Banach indecomponíveis e dois a dois essencialmente incomparáveis, e cada espaço $K_\\xi$ responde positivamente ao problema de Efimov. Apresentamos também um método de construção via forcing de um espaço compacto e conexo $K$ hereditariamente fracamente Koszmider. / This work has two main objectives. First, we analyze the preservation of connectedness in the extension of compact spaces by continuous functions, a technique used by Koszmider to obtain an indecomposable Banach space $C(K)$ with few operators. We show that for any metrizable compactum $K$ there exists a disconnected $L$ which is obtained from $K$ by finitely many extensions by continuous functions. Next, we emphasize the construction of Banach spaces of the form $C(K)$ with the property that $C(L)$ has few operators, for every closed $L \\subseteq K$. Assuming the diamond principle we construct a family $(K_\\xi)_{\\xi < 2^{(2^\\omega)}}$ of connected and hereditarily Koszmider spaces such that every operator from $C(K_\\xi)$ into $C(K_\\eta)$ is weakly compact, for $\\xi$ different from $\\eta$. In particular, $(C(K_\\xi))_{\\xi < 2^{(2^\\omega)}}$ is a family of indecomposable and pairwise essentially incomparable Banach spaces, and each space $K_\\xi$ responds positively to the Efimov\'s problem. We also present a method of construction using forcing of a compact and connected hereditarily weakly Koszmider space $K$.