Thesis (Ph.D.)--Ohio University, August, 2004. / Title from PDF t.p. Includes bibliographical references (p. 113-117)

This thesis describes measurements of the pion induced pion production reaction π⁺d → π⁺π⁻p p performed with a 280 MeV incident π⁺ beam at TRIUMF. The data are compared with an improved version of the Oset and Vicente-Vacas theoretical model [12]. The goal of the experiment and of the analysis was to provide a larger body of data for the free reaction and to test the validity of theoretical models. In the process, the ability to determine the values of the coupling constants C, f∆ , gN*∆π within such a model framework would be explored. The knowledge of the precise value of these coupling constants would constrain N* decay branching ratios and other pion induced reaction mechanisms like Double Charge Exchange. A previous experiment [23] had indicated that the pion induced pion production on deuterium is essentially a quasifree process with the reaction occurring on the neutron leaving the proton merely a spectator. The main difference with respect to the free reaction is the effect of Fermi motion of the neutron. Although we were interested in studying the free reaction (π⁻p → π⁺π⁻n), we chose a deuterium target so that the experiment could be run with a π⁺beam, since the π⁻ beam flux is about 6 times lower than the flux of the positive pion beam at 280 MeV, the energy at which our experiment was performed. Such a flux would have required a much longer running time for the experiment in order to achieve the same statistical accuracy. The quasifree nature of the process was also confirmed in our experiment. This experiment involved a coincidence measurement of the quasifree process and as such provided four-fold differential cross section spectra of the reaction thus allowing for a microscopic comparison between data and theoretical models. In the theoretical description we incorporated additional amplitudes for the N* → N(ππ)p-wave diagrams required to describe the reaction cross section at Tπ = 280 MeV. We also added the Fermi motion of the nucleon to the model to account for the deuterium environment. The 'free' parameters of the model are the largely unknown coupling constants listed above. We fixed C to be -2.08 by requiring the energy dependence of the model to be that of the measurement of [22] and compared the energy and angular distributions of the model to our data for several values of the f∆ and gN*∆π coupling constants ranging between 0 and 2 (where the units are 4/5 fNNπ) and between 1.08 and 1.53 respectively. We found reasonable sensitivity of the model to the f∆ variation, but only limited sensitivity to the value of the gN*∆π coupling constant. Overall we achieved a very good agreement between data and the theoretical predictions for f∆ values smaller than 0.5 and gN*∆π values closer to its lower limit. Improved statistical accuracy of the data would however be needed to better constrain the values of the coupling constants. On the basis of our results we feel that this model is a useful tool for planning future experiments and that a more extensive (π, 2π) experimental program, where differential cross sections are measured for differing isospin channels, would provide a further, more stringent test on the model allowing for a more precise determination of the coupling constants. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

Thesis (Ph. D.)--University of California, Riverside, 2009. / Includes abstract. Includes bibliographical references (leaves 248-250). Issued in print and online. Available via ProQuest Digital Dissertations.

Thesis--University of California, Berkeley, 1958. / "Physics and Mathematics" -t.p. Includes bibliographical references (p. 123-125).

Made available in DSpace on 2014-06-11T19:32:10Z (GMT). No. of bitstreams: 0 Previous issue date: 2002-02Bitstream added on 2014-06-13T20:03:15Z : No. of bitstreams: 1 pupin_jc_dr_ift.pdf: 1428942 bytes, checksum: d6abaa838d7800612f4a795ffa313ad7 (MD5) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Utilizando a simetria quiral, calculamos a contribuição dominante ao potencial nucleon-nucleon (NN) devido à troca de três píons não correlacionados. Esta contribuição é isovetorial com as componentes pseudoescalar e axial. A pseudoescalar é dominante, tem um alcance de 1.0 fm e contribui no canal de píon. No mesmo contexto, estudamos a produção de um píon na interação nucleon-nucleon devida à troca de dois píons. O termo dominante do Kernel da produção é construído a partir da mesma interação básica usada no potencial NN devido à troca de três píons. Relacionamos este termo à componente central do potencial NN devido à troca de dois píons e mostramos que esta, por sua vez, é dominada pelo fator de forma escalar píon-nucleon. O Kernel obtido foi aplicado para o limiar da produção e na construção de um potencial de três nucleons. Os resultados foram generalizados para um potencial NN central qualquer e comparados ao potencial de Argonne e àquele devido à troca de um méson escalar...ctício / Abstracts: Using the chiral symmetry, we calculated the dominant contribution to the nucleon-nucleon (NN) potential due to the exchange of three non-correlated pions (3o). This contribution is isovetor with pseudoscalar and axial components. The pseudoscalar component is dominant, it has a range of 1.0 fm and it contributes in the pion channel. In the same context, we studied the pion production in the nucleon-nucleon interaction due to the exchange of two pions (2o). The dominant term of the production Kernel is built from the same basic interaction used in the 3o-exchange NN potential. We related this term to the central component of the 2o-exchange NN potential and we showed that the latter, on its turn, is dominated by the pion-nucleon scalar form factor. The obtained Kernel was applied at the threshold and in the constructioin of a three-nucleon potential. The results were generalized foa a central NN potential of any kind and compared to the potentials of Argonne and to that due to the exchange of one ...ctitious scalar meson

A partial-wave analysis of pion photoproduction data up to a photon lab energy of 1.8 GeV has been performed. Both energy-dependent and energy-independent solutions have been obtained. The energy-dependent parametrization incorporates the recently determined elastic pion nucleon scattering amplitudes in such a way as to satisfy unitarity and utilize the resonance structure contained in the pion nucleon elastic amplitudes. Starting from the energy-dependent solution, energy-independent partial-wave solutions are obtained at a set of energies from threshold to 1.8 GeV. The data base used in the analysis contains 11,911 data from the reactions. The predictions of our solution are compared with the experimental data and previous analyses. Suggestions are made for future experiments. A total of sixteen resonances exist in the energy range from threshold to 1.8 GeV. These resonance states are studied using our energy-independent solutions. Photon decay couplings to the sixteen resonances are extracted. These couplings are also compared with previous solutions and quark model predictions. / Ph. D.

<p> Two-pion production reactions in proton-proton collisions have been studied using the PROMICE/WASA detector and an internal cluster gas-jet target at the CELSIUS storage ring in Uppsala. Three out of the four isospin-independent reaction channels have been measured at several energies in the intermediate and near threshold energy region. Important parts of the analysis include the identification of neutral pions from the invariant mass of the decay gammas, the identification of positive pions with the delayed pulse technique and the use of Monte Carlo simulations to understand the detector response. The total cross sections for the pp®ppπ⁺π^-, the pp®ppπ⁰π⁰ and the pp®pnπ⁺π⁰ reactions are presented at beam energies ranging from 650 to 775 MeV. </p><p>The production mechanism for two-pion production near threshold seems to be dominated by resonance production. The contribution from the non-resonant terms alone can not reproduce the total cross sections. In most models, two-pion production is governed by the δ and the <i>N</i>^* resonances in either one or both of the participating nucleons. </p><p>The <i>N</i>^*(1440)®N(πp)^T=0_S−<i>wave</i> transition has been suggested as the dominating production mechanism for two-pion production in proton-proton collisions. However, the total cross sections presented in this thesis show that other production mechanisms also must give large contributions. </p>

Two-pion production reactions in proton-proton collisions have been studied using the PROMICE/WASA detector and an internal cluster gas-jet target at the CELSIUS storage ring in Uppsala. Three out of the four isospin-independent reaction channels have been measured at several energies in the intermediate and near threshold energy region. Important parts of the analysis include the identification of neutral pions from the invariant mass of the decay gammas, the identification of positive pions with the delayed pulse technique and the use of Monte Carlo simulations to understand the detector response. The total cross sections for the pp®ppπ+π-, the pp®ppπ0π0 and the pp®pnπ+π0 reactions are presented at beam energies ranging from 650 to 775 MeV. The production mechanism for two-pion production near threshold seems to be dominated by resonance production. The contribution from the non-resonant terms alone can not reproduce the total cross sections. In most models, two-pion production is governed by the δ and the N* resonances in either one or both of the participating nucleons. The N*(1440)®N(πp)T=0S−wave transition has been suggested as the dominating production mechanism for two-pion production in proton-proton collisions. However, the total cross sections presented in this thesis show that other production mechanisms also must give large contributions.

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Thesis (Ph. D.)--University of Texas at Austin, 2004. / Supervisors: Jerry Hoffmann and C. Fred Moore. Vita. Includes bibliographical references.