Chirale effektive Feldtheorie mit Vektormesonen : vom elektromagnetischen Formfaktor zur virtuellen Compton-Streuung

Die vorliegende Arbeit beschäftigt sich mit der Modellierung niederenergetischer elektromagnetischer und hadronischer Prozesse im Rahmen einer manifest lorentzinvarianten, chiralen effektiven Feldtheorie unter expliziter, dynamischer Berücksichtigung resonanter, das heißt vektormesonischer Freiheitsgrade. Diese effektive Theorie kann daher als Approximation der grundlegenden Quantenchromodynamik bei kleinen Energien verstanden werden. Besonderes Augenmerk wird dabei auf das verwendete Zähl- sowie Renormierungschema gelegt, wodurch eine konsistente Beschreibung mesonischer Prozesse bis zu Energien von etwa 1GeV ermöglicht wird. Das verwendete Zählschema beruht dabei im Wesentlichen auf einem Argument für großes N_c (Anzahl der Farbfreiheitsgrade) und lässt eine äquivalente Behandlung von Goldstonebosonen (Pionen) und Resonanzen (Rho- und Omegamesonen) zu. Als Renormierungsschema wird das für (bezüglich der starken Wechselwirkung) instabile Teilchen besonders geeignete complex-mass scheme als Erweiterung des extended on-mass-shell scheme verwendet, welches in Kombination mit dem BPHZ-Renormierungsverfahren (benannt nach Bogoliubov, Parasiuk, Hepp und Zimmermann) ein leistungsfähiges Konzept zur Berechnung von Quantenkorrekturen in dieser chiralen effektiven Feldtheorie darstellt. Sämtliche vorgenommenen Rechnungen schließen Terme der chiralen Ordnung vier sowie einfache Schleifen in Feynman-Diagrammen ein. Betrachtet werden unter anderem der Vektorformfaktor des Pions im zeitartigen Bereich, die reelle Compton-Streuung (beziehungsweise Photonenfusion) im neutralen und geladenen Kanal sowie die virtuelle Compton-Streuung, eingebettet in die Elektron-Positron-Annihilation. Zur Extraktion der Niederenergiekopplungskonstanten der Theorie wird letztendlich eine Reihe experimenteller Datensätze verschiedenartiger Observablen verwendet. Die hier entwickelten Methoden und Prozeduren - und insbesondere deren technische Implementierung - sind sehr allgemeiner Natur und können daher auch an weitere Problemstellungen aus diesem Gebiet der niederenergetischen Quantenchromodynamik angepasst werden.

Measurement of the e + e - pi + pi - cross section using initial state radiation at BESIII

The future goal of modern physics is the discovery of physics beyond the Standard Model. One of the most significant hints for New Physics can be seen in the anomalous magnetic moment of the muon - one of the most precise measured variables in modern physics and the main motivation of this work. This variable is associated with the coupling of the muon, an elementary particle, to an external electromagnetic field and is defined as a = (g - 2)/2, whereas g is the gyromagnetic factor of the muon. The muon anomaly has been measured with a relative accuracy of 0.5·10-6. However, a difference between the direct measurement and the Standard Model prediction of 3.6 standard deviations can be observed. This could be a hint for the existence of New Physics. Unfortunately, it is, yet, not significant enough to claim an observation and, thus, more precise measurements and calculations have to be performed.rnThe muon anomaly has three contributions, whereas the ones from quantum electrodynamics and weak interaction can be determined from perturbative calculations. This cannot be done in case of the hadronic contributions at low energies. The leading order contribution - the hadronic vacuum polarization - can be computed via a dispersion integral, which needs as input hadronic cross section measurements from electron-positron annihilations. Hence, it is essential for a precise prediction of the muon anomaly to measure these hadronic cross sections, σ(e+e-→hadrons), with high accuracy. With a contribution of more than 70%, the final state containing two charged pions is the most important one in this context.rnIn this thesis, a new measurement of the σ(e+e-→π+π-) cross section and the pion form factor is performed with an accuracy of 0.9% in the dominant ρ(770) resonance region between 600 and rn900 MeV at the BESIII experiment. The two-pion contribution to the leading-order (LO) hadronic vacuum polarization contribution to (g - 2) from the BESIII result, obtained in this work, is computed to be a(ππ,LO,600-900 MeV) = (368.2±2.5stat±3.3sys)·10-10. With the result presented in this thesis, we make an important contribution on the way to solve the (g - 2) puzzle.

Forward Neutral-Pion Transverse Single-Spin Asymmetries in p plus p Collisions at s=200 GeV

We report precision measurements of the Feynman x (x(F)) dependence, and first measurements of the transverse momentum (p(T)) dependence, of transverse single-spin asymmetries for the production of pi(0) mesons from polarized proton collisions at s=200 GeV. The x(F) dependence of the results is in fair agreement with perturbative QCD model calculations that identify orbital motion of quarks and gluons within the proton as the origin of the spin effects. Results for the p(T) dependence at fixed x(F) are not consistent with these same perturbative QCD-based calculations.

Determination of the parity of the neutral pion via its four-electron decay

We present a new determination of the parity of the neutral pion via the double Dalitz decay pi(0) -> e(+)e(-)e(+)e(-). Our sample, which consists of 30511 candidate decays, was collected from K(L) -> pi(0)pi(0)pi(0) decays in flight at the KTeV-E799 experiment at Fermi National Accelerator Laboratory. We confirm the negative pi(0) parity and place a limit on scalar contributions to the pi(0) -> e(+)e(-)e(+)e(-) decay amplitude of less than 3.3% assuming CPT conservation. The pi(0)gamma(*)gamma(*) form factor is well described by a momentum-dependent model with a slope parameter fit to the final state phase-space distribution. Additionally, we have measured the branching ratio of this mode to be B(pi(0) -> e(+)e(-)e(+)e(-)) = (3.26 +/- 0.18) x 10(-5).

Quantitative constraints on the transport properties of hot partonic matter from semi-inclusive single high transverse momentum pion suppression in Au plus Au collisions at root S(NN)=200 GeV

The PHENIX experiment has measured the suppression of semi-inclusive single high-transverse-momentum pi(0)'s in Au+Au collisions at root s(NN) = 200 GeV. The present understanding of this suppression is in terms of energy loss of the parent (fragmenting) parton in a dense color-charge medium. We have performed a quantitative comparison between various parton energy-loss models and our experimental data. The statistical point-to-point uncorrelated as well as correlated systematic uncertainties are taken into account in the comparison. We detail this methodology and the resulting constraint on the model parameters, such as the initial color-charge density dN(g)/dy, the medium transport coefficient <(q) over cap >, or the initial energy-loss parameter epsilon(0). We find that high-transverse-momentum pi(0) suppression in Au+Au collisions has sufficient precision to constrain these model-dependent parameters at the +/- 20-25% (one standard deviation) level. These constraints include only the experimental uncertainties, and further studies are needed to compute the corresponding theoretical uncertainties.

Longitudinal double-spin asymmetry and cross section for inclusive neutral pion production at midrapidity in polarized proton collisions at s=200 GeV

We report a measurement of the longitudinal double-spin asymmetry A(LL) and the differential cross section for inclusive pi(0) production at midrapidity in polarized proton collisions at s=200 GeV. The cross section was measured over a transverse momentum range of 1 < p(T)< 17 GeV/c and found to be in good agreement with a next-to-leading order perturbative QCD calculation. The longitudinal double-spin asymmetry was measured in the range of 3.7 < p(T)< 11 GeV/c and excludes a maximal positive gluon polarization in the proton. The mean transverse momentum fraction of pi(0)'s in their parent jets was found to be around 0.7 for electromagnetically triggered events.

Neutral pion production in Au plus Au collisions at root s(NN)=200 GeV

The results of midrapidity (0 < y < 0.8) neutral pion spectra over an extended transverse momentum range (1 < p(T) < 12 GeV/c) in root s(NN) = 200 GeV Au + Au collisions, measured by the STAR experiment, are presented. The neutral pions are reconstructed from photons measured either by the STAR Barrel Electro-Magnetic Calorimeter or by the Time Projection Chamber via tracking of conversion electron-positron pairs. Our measurements are compared to previously published pi(+/-) and pi(0) results. The nuclear modification factors R(CP) and R(AA) of pi(0) are also presented as a function of p(T). In the most central Au + Au collisions, the binary collision scaled pi(0) yield at high p(T) is suppressed by a factor of about 5 compared to the expectation from the yield of p + p collisions. Such a large suppression is in agreement with previous observations for light quark mesons and is consistent with the scenario that partons suffer considerable energy loss in the dense medium formed in central nucleus-nucleus collisions at the Relativistic Heavy Ion Collider.

Pion interferometry in Au plus Au and Cu plus Cu collisions at s(NN)=62.4 and 200 GeV

We present a systematic analysis of two-pion interferometry in Au+Au collisions at s(NN)=62.4 GeV and Cu+Cu collisions at s(NN)=62.4 and 200 GeV using the STAR detector at the Relativistic Heavy Ion Collider (RHIC). The multiplicity and transverse momentum dependences of the extracted correlation lengths (radii) are studied. The scaling with charged particle multiplicity of the apparent system volume at final interaction is studied for the RHIC energy domain. The multiplicity scaling of the measured correlation radii is found to be independent of colliding system and collision energy.

Pion femtoscopy in p plus p collisions at root s=200 GeV

The STAR Collaboration at the BNL Relativistic Heavy Ion Collider has measured two-pion correlation functions from p + p collisions at root s = 200 GeV. Spatial scales are extracted via a femtoscopic analysis of the correlations, though this analysis is complicated by the presence of strong nonfemtoscopic effects. Our results are put into the context of the world data set of femtoscopy in hadron-hadron collisions. We present the first direct comparison of femtoscopy in p + p and heavy ion collisions, under identical analysis and detector conditions.

Pionic branches in neutron matter and the problem of pion condensation

The pion spectrum for charged and neutral pions is investigated in pure neutron matter, by letting the pions interact with a neutron Fermi sea in a self-consistent scheme that renormalizes simultaneously the mesons, considered the source of the interaction, and the nucleons. The possibility of obtaining different kinds of pion condensates is investigated with the result that they cannot be reached even for values of the spin-spin correlation parameter, g', far below the range commonly accepted.

BoBo mixing meseasurement at Belle using dilepton events tagged with a soft pion

L'expérience Belle, située dans le centre de recherche du KEK, au Japon, est consacrée principalement à l'étude de la violation de CP dans le système des mésons B. Elle est placée sur le collisionneur KEKB, qui produit des paires Banti-B. KEKB, l'une des deux « usines à B » actuellement en fonction, détient le record du nombre d'événements produits avec plus de 150 millions de paires. Cet échantillon permet des mesures d'une grande précision dans le domaine de la physique du méson B. C'est dans le cadre de ces mesures de précision que s'inscrit cette analyse. L'un des phénomènes remarquables de la physique des hautes énergies est la faculté qu'a l'interaction faible de coupler un méson neutre avec son anti-méson. Dans le présent travail, nous nous intéressons au méson B neutre couplé à l'anti-méson B neutre, avec une fréquence d'oscillation _md mesurable précisément. Outre la beauté de ce phénomène lui-même, une telle mesure trouve sa place dans la quête de l'origine de la violation de CP. Cette dernière n'est incluse que d'une façon peu satisfaisante dans le modèle standard des interactions électro-faibles. C'est donc la recherche de phénomènes physiques encore inexpliqués qui motive en premier lieu la collaboration Belle. Il existe déjà de nombreuses mesures de _md antérieures. Celle que nous présentons ici est cependant d'une précision encore jamais atteinte grâce, d'une part, à l'excellente performance de KEKB et, d'autre part, à une approche originale qui permet de réduire considérablement la contamination de la mesure par des événements indésirés. Cette approche fut déjà mise à profit par d'autres expériences, dans des conditions quelque peu différentes de celles de Belle. La méthode utilisée consiste à reconstruire partiellement l'un des mésons dans le canal ___D*(D0_)l_l, en n'utilisant que les informations relatives au lepton l et au pion _. L'information concernant l'autre méson de la paire Banti-B initiale n'est tirée que d'un seul lepton de haute énergie. Ainsi, l'échantillon à disposition ne souffre pas de grandes réductions dues à une reconstruction complète, tandis que la contamination due aux mésons B chargés, produits par KEKB en quantité égale aux B0, est fortement diminuée en comparaison d'une analyse inclusive. Nous obtenons finalement le résultat suivant : _md = 0.513±0.006±0.008 ps^-1, la première erreur étant l'erreur statistique et la deuxième, l'erreur systématique.<br/><br/>The Belle experiment is located in the KEK research centre (Japan) and is primarily devoted to the study of CP violation in the B meson sector. Belle is placed on the KEKB collider, one of the two currently running "B-meson factories", which produce Banti-B pairs. KEKB has created more than 150 million pairs in total, a world record for this kind of colliders. This large sample allows very precise measurements in the physics of beauty mesons. The present analysis falls within the framework of these precise measurements. One of the most remarkable phenomena in high-energy physics is the ability of weak interactions to couple a neutral meson to its anti-meson. In this work, we study the coupling of neutral B with neutral anti-B meson, which induces an oscillation of frequency _md we can measure accurately. Besides the interest of this phenomenon itself, this measurement plays an important role in the quest for the origin of CP violation. The standard model of electro-weak interactions does not include CP violation in a fully satisfactory way. The search for yet unexplained physical phenomena is, therefore, the main motivation of the Belle collaboration. Many measurements of _md have previously been performed. The present work, however, leads to a precision on _md that was never reached before. This is the result of the excellent performance of KEKB, and of an original approach that allows to considerably reduce background contamination of pertinent events. This approach was already successfully used by other collaborations, in slightly different conditions as here. The method we employed consists in the partial reconstruction of one of the B mesons through the decay channel ___D*(D0_)l_l, where only the information on the lepton l and the pion _ are used. The information on the other B meson of the initial Banti-B pair is extracted from a single high-energy lepton. The available sample of Banti-B pairs thus does not suffer from large reductions due to complete reconstruction, nor does it suffer of high charged B meson background, as in inclusive analyses. We finally obtain the following result: _md = 0.513±0.006±0.008 ps^-1, where the first error is statistical, and the second, systematical.<br/><br/>De quoi la matière est-elle constituée ? Comment tient-elle ensemble ? Ce sont là les questions auxquelles la recherche en physique des hautes énergies tente de répondre. Cette recherche est conduite à deux niveaux en constante interaction. D?une part, des modèles théoriques sont élaborés pour tenter de comprendre et de décrire les observations. Ces dernières, d?autre part, sont réalisées au moyen de collisions à haute énergie de particules élémentaires. C?est ainsi que l?on a pu mettre en évidence l?existence de quatre forces fondamentales et de 24 constituants élémentaires, classés en « quarks » et « leptons ». Il s?agit là de l?une des plus belles réussites du modèle en usage aujourd?hui, appelé « Modèle Standard ». Il est une observation fondamentale que le Modèle Standard peine cependant à expliquer, c?est la disparition quasi complète de l?anti-matière (le « négatif » de la matière). Au niveau fondamental, cela doit correspondre à une asymétrie entre particules (constituants de la matière) et antiparticules (constituants de l?anti-matière). On l?appelle l?asymétrie (ou violation) CP. Bien qu?incluse dans le Modèle Standard, cette asymétrie n?est que partiellement prise en compte, semble-t-il. En outre, son origine est inconnue. D?intenses recherches sont donc aujourd?hui entreprises pour mettre en lumière cette asymétrie. L?expérience Belle, au Japon, en est une des pionnières. Belle étudie en effet les phénomènes physiques liés à une famille de particules appelées les « mésons B », dont on sait qu?elles sont liées de près à l?asymétrie CP. C?est dans le cadre de cette recherche que se place cette thèse. Nous avons étudié une propriété remarquable du méson B neutre : l?oscillation de ce méson avec son anti-méson. Cette particule est de se désintégrer pour donner l?antiparticule associée. Il est clair que cette oscillation est rattachée à l?asymétrie CP. Nous avons ici déterminé avec une précision encore inégalée la fréquence de cette oscillation. La méthode utilisée consiste à caractériser une paire de mésons B à l?aide de leur désintégration comprenant un lepton chacun. Une plus grande précision est obtenue en recherchant également une particule appelée le pion, et qui provient de la désintégration d?un des mésons. Outre l?intérêt de ce phénomène oscillatoire en lui-même, cette mesure permet d?affiner, directement ou indirectement, le Modèle Standard. Elle pourra aussi, à terme, aider à élucider le mystère de l?asymétrie entre matière et anti-matière.

Regeneración in vitro del piñon azul Pinus maximartinezii (Rzed)

Tesis (Doctor en Ciencias) U. A. N. L., Facultad de Ciencias Biológicas, 2007.

Pionic branches in neutron matter and the problem of pion condensation

The pion spectrum for charged and neutral pions is investigated in pure neutron matter, by letting the pions interact with a neutron Fermi sea in a self-consistent scheme that renormalizes simultaneously the mesons, considered the source of the interaction, and the nucleons. The possibility of obtaining different kinds of pion condensates is investigated with the result that they cannot be reached even for values of the spin-spin correlation parameter, g', far below the range commonly accepted.

Pion mass effects on axion emission from neutron stars through NN bremsstrahlung processes

The rates of axion emission by nucleon-nucleon bremsstrahlung are calculated with the inclusion of the full momentum contribution from a nuclear one pion exchange (OPE) potential. The contributions of the neutron-neutron (nn), proton-proton (pp) and neutron-proton (np) processes in both the non-degenerate and degenerate limits are explicitly given. We find that the finite-momentum corrections to the emissivities are quantitatively significant for the non-degenerate regime and temperature-dependent, and should affect the existing axion mass hounds. The trend of these nuclear effects is to diminish the emissivities. (C) 2009 Elsevier B.V. All rights reserved.

Pion: space-like structure

The scalar form factor describes modifications induced by the pion over the quark condensate. Assuming that representations produced by chiral perturbation theory can be pushed to high values of negative-t, a region in configuration space is reached (r < R similar to 0.5 fm) where the form factor changes sign, indicating that the condensate has turned into empty space. A simple model for the pion incorporates this feature into density functions. When supplemented by scalar-meson excitations, it yields predictions close to empirical values for the mean square radius (< r(2)>(pi)(S) = 0.59 fm(2)) and for one of the low energy constants ((l) over bar (4) = 4.3), with no adjusted parameters.