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The two neutral kaon states in nature, the 𝘒_𝐿 (long-lived) and 𝘒_s (short-lived) mesons, are the two time-evolution eigenstates of the 𝘒⁰ - 𝘒̅⁰̅ mixing system. The prediction of their mass difference 𝚫m_𝘒 based on the standard model is an important goal of lattice QCD. Non-perturbative formalism has been developed to calculate 𝚫 m_𝘒 and the calculation has been extended from the first exploratory calculation with only connected diagrams to full calculations on near-physical[1] and physical ensembles[2]. In this work, we extend the calculation described in Reference [2] from 59 to 152 configurations and present a new analysis method employed to calculate 𝚫 m_𝘒 with better reduction of statistical error on this larger set of configurations. By using a free-field calculation, we will show that the four-point contractions in our calculation method yields results consistent with the Inami-Lim calculation[3] in the local limit. We also report a series of scaling tests performed on 24³ × 64 and 32³ × 64 lattice ensembles to estimate the size of the finite lattice spacing error in our 𝚫 m_K$ calculation. We will present the 𝚫 m_𝘒 calculation on the ensemble of 64³ × 128 gauge configurations with inverse lattice spacing of 2.36 GeV and physical quark masses obtaining results coming from 2.5 times the Monte Carlo statistics used for the result in [2]. With the new analysis method and estimated finite lattice spacing error, we obtain 𝚫 m_𝘒 = 5.8(0.6)_stat(2.3)_sys × 10¯¹²MeV. Here the first error is statistical and the second is an estimate of largest systematic error due to the finite lattice spacing effects. The new results also imply the validity of the OZI rule for the case of physical kinematics in contrast to the previous calculation of 𝚫 m_𝘒 with unphysical kinematics[1], where contributions from diagrams with disconnected parts are almost half the size of the contributions from fully connected diagrams but with the opposite sign.

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No description available.

The K⁰, K*(892), p⁰(770) and Φ(1020) mesons along with the Λ° baryon have been observed in the TRISTAN energy region of 50 to 61.4 GeV using a data sample of 245.4 pb⁻¹. Their multiplicities and total cross sections are found and compared with the results from experiments at other center-of-mass energies. The multiplicities are compared with various theoretical and phenomenological models. The differential cross sections for the K⁰ and Λ⁰ are calculated and compared with other experiments. Measurements of the ratio of production of vector mesons to vector plus pseudoscalar mesons and the ratio of the production of excited ss̄ quark pairs to the production of excited uū plus dd̄ quark pairs are compared with other experiments along with the phenomenological predictions. The HERWIG Monte Carlo is tuned with regard to the inclusive production of hadrons. / Ph. D.

[pt] O presente trabalho de tese é destinado ao estudo do decaimento do méson D+ KS(pi)−(pi)+(pi)+ com dados coletados pelo experimento FOCUS do Fermilab. O estado final, composto por 4 mésons pseudo- escalares, pode ser alcançado através de uma considerável variedade de sub- estruturas ressonantes. O proposito da análise é encontrar quais são estes possíveis canais intermediários através de suas contribuições e fases relativas. Para tanto, é utilizado o formalismo de Análise de Amplitudes usando o chamado Modelo Isobárico. A dinâmica do decaimento é definida através de uma função que contém as características (formas funcionais das ressonâncias, distribuição angular, etc) dos canais que intervêm no decaimento e cujo domínio é um espaço o de fase determinado por 5 invariantes (devido às restrições de decaimento em quatro corpos sem spin). A função é então ajustada ao conjunto de dados coletados. Nos resultados, verificamos uma grande contribuição do méson vetor-axial a1(1260) (52%) seguido do vetor-axial K1(1400) (34%). Além disso, o modelo apresenta contribuição da ressonância (sigma) (cerca de 8%, vinda de a1(sigmapi)KS e sigmaKSpi) e uma razoável contribuição da ressonância escalar K− (14%). O estado K já foi visto em seu modo neutro em outros decaimentos de charme, porém ainda não em seu modo carregado. Não encontramos contribui ção significativa do decaimento direto em 4 corpos (não- ressonante). Esta tese vem se somar ao esforço no entendimento da dinâmica das intera ções fortes a baixas energias, que nos últimos anos tem ganhado da física de mésons charmosos uma importante contribuição. / [en] This thesis is devoted to the study of the decay D+ KS(pi)− (pi)+(pi)+ with data collected from the FOCUS experiment, at Fermilab. The final state composed of 4 pseudo-scalars can be produced through a number of resonant sub-structures. The purpose of this analysis is to find the contributing intermediate states by measuring their relative strenghts and phases. For that, the Amplitude Analysis formalism is used, with the so-called Isobar Model. The decay dynamics is described through a function which has the features of the contributing channels (functional forms of the resonances, angular distribution, etc) and which domain is a phase space determined by 5 invariants (due to the kinematical constraints of a 4- body spinless decay). The data sample is thus fitted to this function. Our results show a dominant contribution of the axial- vector meson a1(1260) (52%), followed by the K1(1400) axial-vector (34%). Moreover, the model presents a contribution from the sigma meson (about 8% as a1(sigmapi)KS and sigmaKSpi) and a significant contribution from the scalar k−. The k state has been reported in its neutral mode in other charm decays but not is its charged mode. We find no significant contribution from the direct 4-body decay (non-resonant). This work adds to the effort in the understanding of the strong-interaction dynamics at low energies, which in recent years have been receiving an important contribution from charm meson physics.

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No description available.

No description available.

Cette thèse a utilisé la méthode des règles de somme de QCD pour étudier la nature des résonances du charmonium suivantes: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) et Y(4660). Il y a des fortes indications que ces états ont des structures hadroniques non conventionnelles (ou exotiques) lorsque leurs masses respectives et les modes de désintégration observés expérimentalement sont incompatibles avec ce qui est attendu pour l'état conventionnel du charmonium.Le même phénomène se produit dans le secteur du bottomonium, où les nouveaux états Yb(10890) et Yb(11020), observeés récemment pourraient indiquer l'existence de nouveaux états exotiques du bottomonium. De cette façon, on vérifie que l'état Y(4140) peut être décrit soit par une structure moléculaire D*s D*s (0++) ou par une mélange entre les états moléculaires D*s D*s (0++) et D*D* (0++). Les états Y(3930) et X(4350) ne peuvent pas être décrites par les courants moléculaires D*D* (0++) et D*s D*so (1-+), respectivement. On vérifie également que la structure moléculaire psi' f0(980) (1--) réproduit très bien la masse de l'état Y(4660). Une extension naturelle au secteur du bottomonium indique que l'état moléculaire Y' f0(980) est un bon candidat pour l'état Yb(10890). On a également fait une estimation pour les états moléculaires possibles formées par des mésons D et B, ce qui pourra être observé dans des expériences futures au LHC.Une vaste étude, en utilisant le formalisme habituel des règles de somme et aussi le Double Rapport des règles de somme, est fait pour calculer les masses des baryons lourds en QCD. Les estimations pour les masses des baryons avec un (Qqq) et deux (QQq) quarks lourds sont un excellent test pour la capacité de la méthode de règles de somme à prédire les masses des baryons qui n'ont pas encore été observés. / The QCD sum rules approach was used to study the nature of the following charmonium resonances: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) and Y(4660). There is strong evidence that these states have a non-conventional (or exotic) hadronic structures since their respective masses and decay channels observed experimentally are inconsistent with expected for a conventional charmonium state. The same phenomenon occurs on the bottomonium sector, where new states like Yb(10890) and Yb(11020) observed recently could indicate the existence of new bottomonium exotic states. In this way, one verifies that the state Y(4140) could be described as a D*s D*s (0++) molecular state or even as a mixture of D*s D*s (0++) and D*D* (0++) molecular states. For the Y(3930) and X(4350) states, both cannot be described as a D*D* (0++) and D*s D*s0 (1−+), respectively. From the sum rule point of view, the Y(4660) state could be described as a ψ' f0(980) (1−−) molecular state. The extension to the bottomonium sector is done in a straightforward way to demonstrate that the Y' f0(980) molecular state is a good candidate for describing the structure of the Yb(10890) state. In the following, one estimates the mass of the exotic Bc-like molecular states using QCD sum rules - these exotic states would correspond to a bound states of D(*) and B(*) mesons. All of these mass predictions could (or not) be checked in a near future experiments at LHC.A large study using the Double Ratio of sum rules approach has been evaluated for the study of the heavy baryon masses in QCD. The obtained results for the baryons with one (Qqq) and two (QQq) heavy quarks will be an excellent test for the capability of the sum rule approach in predicting mass of the baryons which have not yet been observed.