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AbstractAbstract
[en] In this work we investigate the wave functions of the baryons in the ground state octet by using the QCD sum rules technique, especially referring to the formalism of Chernyak and Zhitnitsky. The moments of the quark distibution amplitudes of the proton, Σ+ and Ξ- are determined by evaluating their sum rules graphically. For the necessary algebraic calculations we have developed a computer program package based on standard REDUCE, such that the Wilson coefficients could be calculated automatically. The contributions of the quark and gluon condensates up to energy dimension 6 have been taken into account. The corresponding quark distribution amplitudes of the cited baryons are plotted. Our results do not agree with those of a paper recently published by Chernyak, Ogloblin and Zhitnitsky and show, that the effects of the SU(3)F symmetry breaking by the mass of the strange quark are unexpectedly large. The electromagnetic form factors of the considered baryons are determined for an intermediate momentum transfer of several GeV. (orig.)
Original Title
Bestimmung von Baryon-Wellenfunktionen des Grundzustandsoktetts mit Hilfe von QCD-Summenregeln
Primary Subject
Secondary Subject
Source
Nov 1989; 93 p; Diploma Thesis.
Record Type
Report
Literature Type
Thesis/Dissertation
Report Number
Country of publication
ALGEBRA, BARYON OCTETS, BARYONS, BOSE-EINSTEIN CONDENSATION, ELECTROMAGNETIC FORM FACTORS, FEYNMAN DIAGRAM, FLAVOR MODEL, GROUND STATES, LAMBDA BARYONS, NEUTRONS, PARTICLE STRUCTURE, PERTURBATION THEORY, PROTONS, QUANTUM CHROMODYNAMICS, SCATTERING AMPLITUDES, SIGMA MINUS PARTICLES, SIGMA NEUTRAL PARTICLES, SIGMA PLUS PARTICLES, SU-3 GROUPS, SUM RULES, SYMMETRY BREAKING, THREE-BODY PROBLEM, WAVE FUNCTIONS, XI MINUS PARTICLES, XI NEUTRAL PARTICLES
AMPLITUDES, CATIONS, CHARGED PARTICLES, COMPOSITE MODELS, DIAGRAMS, ELEMENTARY PARTICLES, ENERGY LEVELS, EQUATIONS, FERMIONS, FIELD THEORIES, FORM FACTORS, FUNCTIONS, HADRONS, HYDROGEN IONS, HYDROGEN IONS 1 PLUS, HYPERONS, INFORMATION, IONS, LIE GROUPS, MANY-BODY PROBLEM, MATHEMATICAL MODELS, MATHEMATICS, MULTIPLETS, NUCLEONS, PARTICLE MODELS, PARTICLE MULTIPLETS, PARTICLE PROPERTIES, QUANTUM FIELD THEORY, QUARK MODEL, SIGMA BARYONS, SIGMA PARTICLES, STRANGE PARTICLES, SU GROUPS, SYMMETRY GROUPS, XI BARYONS, XI PARTICLES
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