Femtoscopic studies of D0D0 and Dbar0Dbar0 correlations
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Data
2021-08-24
Autores
Silvério, Isabela Maietto [UNESP]
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Universidade Estadual Paulista (Unesp)
Resumo
A femtoscopia é conhecida como uma ferramenta para investigar as dimensões espaço-temporais da região de onde as partículas são emitidas em colisões de alta energia. Embora originalmente proposta para descrever correlações de estatística quântica para partículas idênticas, é sensível também às interações de estado final, como a interação de Coulomb, ao considerar partículas carregadas e a interação forte entre hádrons. A correlação de duas partículas, em função do momentum relativo do par, pode ser descrita em termos da norma ao quadrado da função de onda total das partículas correlacionadas. Neste estudo, foram desenvolvidos dois códigos para realizar o cálculo numérico resolvendo as equações de Schrödinger e Lippmann-Schwinger com modelos de potenciais para obter a função de onda. Nesta dissertação, foi realizada a validação do código resolvendo a equação de Schrödinger usando dois tipos de partículas correlacionadas próton-lambda e lambda-lambda, cuja interações já são conhecidas na literatura. Essas correlações foram medidas pela colaboração ALICE, no LHC, e pela colaboração STAR, no RHIC. A ausência de dados experimentais e de descrição teórica das correlações D0D0 e D0barD0bar, motivou o desenvolvimento de um código que resolvesse a equação de Lippmann-Schwinger com um potencial não-local para obter a função de onda espalhada e, posteriormente, a respectiva função de correlação de duas partículas. A descrição numérica desenvolvida neste trabalho pode ser usada para estudos de correlação de D0D0 e D0barD0bar em experimentos em colisores de partículas, como um possível guia.
Femtoscopy is a powerful tool to investigate the space-time dimensions of the region from which particles are emitted, in high energy collisions. Although originally derived to describe identical particle quantum statistical correlations, it is sensitive also to final state interactions, such as Coulomb interactions, when considering charged particles and strong interactions between hadrons. The two-particle correlation is written as a function of the pair relative momentum, and can be described in terms of the norm squared of the total wave function of the correlating particles. In this study, two codes were developed to perform the numerical calculation solving the Schrödinger and the Lippmann-Schwinger equations with potential models to obtain the wave function. In this dissertation, the validation of the code solving the Schrödinger equation was performed, using two types of correlating particles proton-lambda ($\textrm{p}\Lambda$) and lambda-lambda ($\Lambda\Lambda$), whose those interactions is already available in the literature. Such correlations were measured by the ALICE collaboration at the LHC and by the STAR collaboration at RHIC. The absence of experimental data and theoretical description of D0D0 and D0barD0bar correlations motivated the development of a code that solves the Lippmann-Schwinger equation with a non-local potential to obtain the scattered wave function and, afterwards, the respective two-particle correlation function. Furthermore, the numerical description elaborated in this work might be used to investigate correlations of D0D0 and D0barD0bar in particle collider experiments, as a guideline.
Femtoscopy is a powerful tool to investigate the space-time dimensions of the region from which particles are emitted, in high energy collisions. Although originally derived to describe identical particle quantum statistical correlations, it is sensitive also to final state interactions, such as Coulomb interactions, when considering charged particles and strong interactions between hadrons. The two-particle correlation is written as a function of the pair relative momentum, and can be described in terms of the norm squared of the total wave function of the correlating particles. In this study, two codes were developed to perform the numerical calculation solving the Schrödinger and the Lippmann-Schwinger equations with potential models to obtain the wave function. In this dissertation, the validation of the code solving the Schrödinger equation was performed, using two types of correlating particles proton-lambda ($\textrm{p}\Lambda$) and lambda-lambda ($\Lambda\Lambda$), whose those interactions is already available in the literature. Such correlations were measured by the ALICE collaboration at the LHC and by the STAR collaboration at RHIC. The absence of experimental data and theoretical description of D0D0 and D0barD0bar correlations motivated the development of a code that solves the Lippmann-Schwinger equation with a non-local potential to obtain the scattered wave function and, afterwards, the respective two-particle correlation function. Furthermore, the numerical description elaborated in this work might be used to investigate correlations of D0D0 and D0barD0bar in particle collider experiments, as a guideline.
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Palavras-chave
Partículas, Correlação entre partículas, Interações quark-gluon