Exact series solution to the two flavor neutrino oscillation problem in matter
2004 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 45, no 11, 4053-4063 p.Article in journal (Refereed) Published
In this paper, we present a real nonlinear differential equation for the two flavor neutrino oscillation problem in matter with an arbitrary density profile. We also present an exact series solution to this nonlinear differential equation. In addition, we investigate numerically the convergence of this solution for different matter density profiles such as constant and linear profiles as well as the Preliminary Reference Earth Model describing the Earth's matter density profile. Finally, we discuss other methods used for solving the neutrino flavor evolution problem.
Place, publisher, year, edition, pages
American Institute of Physics , 2004. Vol. 45, no 11, 4053-4063 p.
neutrino oscillations, flavour model, nonlinear differential equations, Earth, convergence of numerical methods
IdentifiersURN: urn:nbn:se:kth:diva-7245DOI: 10.1063/1.1793330ISI: 000224945900005ScopusID: 2-s2.0-22544485995OAI: oai:DiVA.org:kth-7245DiVA: diva2:12200
FunderSwedish Research Council, 621-2001-1611Swedish Research Council, 621-2002-3577
QC 20100630 QC 201109152011-06-172007-05-312011-09-15Bibliographically approved