Phd records
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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenWed, 31 Jan 2024 18:50:39 +0000Chiral Perturbation Theory and the Weak Interaction
https://resolver.caltech.edu/CaltechTHESIS:08042017-160047213
Authors: {'items': [{'id': 'Bijnens-Johan-Lambert', 'name': {'family': 'Bijnens', 'given': 'Johan Lambert'}, 'show_email': 'NO'}]}
Year: 1985
DOI: 10.7907/64qa-xw17
<p>We study the interface between the standard six-quark model and the observed low-energy weak phenomena. The main processes discussed are weak decays of kaons and hyperons. We study first the low-energy effective weak Hamiltonian at the quark level. This is derived using the renormalization group in leading logarithmic approximation.</p>
<p>Then some properties of this effective weak Hamiltonian that can be derived using chiral perturbation theory are studied. A review of chiral perturbation theory is included.</p>
<p>This formalism is used to study the relation between K̅<sup>0</sup>K<sup>0</sup> mixing and a ΔI = 3/2 decay. We find that the logarithmic corrections to this relation are large, making it unreliable. The same formalism is used to discuss a relation between Kππ, Kπ and K-vacuum matrix elements used in most attempts to compute the Kππ matrix element relevant for the ΔI = 1/2 rule. The domain of validity of this relation is determined.</p>
<p>A review of inclusion of baryons in chiral perturbation theory is given and
one-loop corrections to the Gell-Mann-Okubo relation; semileptonic hyperon decays and nonleptonic S and P wave decays are calculated. All corrections are small except the nonleptonic P wave decays and one S wave decay. The corrections to the Lee-Sugawara relation are large as a consequence of the latter.</p>
<p>Some predictions beyond chiral perturbation theory can be made within the soliton model of baryons. F/D ratios are predicted for hyperon magnetic moments, semileptonic decays and nonleptonic S wave decays in this model.</p>https://thesis.library.caltech.edu/id/eprint/10363