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Three flavor neutrino oscillations in matter
KTH, Superseded Departments, Physics.ORCID iD: 0000-0002-3525-8349
KTH, Superseded Departments, Physics.
2000 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 41, no 5, 2768-2788 p.Article in journal (Refereed) Published
Abstract [en]

We derive analytic expressions for three flavor neutrino oscillations in the presence of matter in the plane wave approximation using the Cayley-Hamilton formalism. Especially, we calculate the time evolution operator in both flavor and mass bases. Furthermore, we find the transition probabilities, matter mass squared differences, and matter mixing angles all expressed in terms of the vacuum mass squared differences, the vacuum mixing angles, and the matter density. The conditions for resonance in the presence of matter are also studied in some examples.

Place, publisher, year, edition, pages
American Institute of Physics , 2000. Vol. 41, no 5, 2768-2788 p.
Keyword [en]
neutrino oscillations, neutrino mass, mass differences, probability
National Category
Subatomic Physics
URN: urn:nbn:se:kth:diva-13379DOI: 10.1063/1.533270ISI: 000086568600018OAI: diva2:324760
Swedish Research Council, F-AA/FU03281-312
QC 20100616Available from: 2011-06-21 Created: 2010-06-16 Last updated: 2011-06-21Bibliographically approved
In thesis
1. Dynamics of quarks and leptons: theoretical Studies of Baryons and Neutrinos
Open this publication in new window or tab >>Dynamics of quarks and leptons: theoretical Studies of Baryons and Neutrinos
2000 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

The Standard Model of Elementary Particle Physics (SM) is the present theoryfor the elementary particles and their interactions and is a well-established theorywithin the physics community. The SM is a combination of Quantum Chromodynamics(QCD) and the Glashow{Weinberg{Salam (GWS) electroweak model. QCDis a theory for the strong force, whereas the GWS electroweak model is a theoryfor the weak and electromagnetic forces. This means that the SM describes allfundamental forces in Nature, except for the gravitational force. However, the SMis not a nal theory and some of its problems will be discussed in this thesis.In the rst part of this thesis, several properties of baryons are studied suchas spin structure, spin polarizations, magnetic moments, weak form factors, andnucleon quark sea isospin asymmetries, using the chiral quark model (QM). TheQM is an eective chiral eld theory developed to describe low energy phenomena of baryons, since perturbative QCD is not applicable at low energies. The resultsof the QM are in good agreement with experimental data.The second part of the thesis is devoted to the concept of quantum mechanicalneutrino oscillations. Neutrino oscillations can, however, not occur within the GWSelectroweak model. Thus, this model has to be extended in some way. All studiesincluding neutrino oscillation are done within three avor neutrino oscillationmodels. Both vacuum and matter neutrino oscillations are considered. Especially,global ts to all data of candidates for neutrino oscillations are presented and alsoan analytical formalism for matter enhanced three avor neutrino oscillations usingtime evolution operators is derived. Furthermore, investigations of matter eectswhen neutrinos traverse the Earth are included.The thesis begins with an introductory review of the QM and neutrino oscillationsand ends with the research results, which are given in the nine accompanyingscientic articles.

Place, publisher, year, edition, pages
Stockholm: KTH, 2000. xiv, 152 p.
Trita-FYS, ISSN 0280-316X ; 8045
Chiral quark model, baryons, conguration mixing, magnetic moments, Coleman{Glashow sum-rule, spin structure, spin polarizations, weak form factors, semileptonic decays, nucleon quark sea isospin asymmetry; neutrinos, neutrino oscillations, neutrino avors, mixing angles, mass squared dierences, MSW eect; numerical calculations, interpretation of experiments
National Category
Other Physics Topics
urn:nbn:se:kth:diva-2991 (URN)91-7170-537-6 (ISBN)
Public defence
2000-06-09, 00:00
QC 20100616Available from: 2000-06-08 Created: 2000-06-08 Last updated: 2010-06-16Bibliographically approved

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