Adiabatic resonant oscillations of solar neutrinos in three generations

Kim, C. W.; Sze, Wah-Keung

doi:10.1103/physrevd.35.1404

Cited by 42 publications

(21 citation statements)

References 13 publications

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“…Previous work on models for three flavor neutrino oscillations in matter includes works by Barger et al [7], Kim and Sze [8], and Zaglauer and Schwarzer [9]. Our method is different from all these approaches and their parametrizations also differ slightly from ours.…”

Section: Introductionmentioning

confidence: 92%

Three flavor neutrino oscillations in matter

Ohlsson

Snellman

2000

Journal of Mathematical Physics

104

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We derive analytic expressions for three flavor neutrino oscillations in the presence of matter in the plane wave approximation using the CayleyHamilton 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.

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Section: Introductionmentioning

confidence: 92%

Three flavor neutrino oscillations in matter

Ohlsson

Snellman

2000

Journal of Mathematical Physics

104

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“…We will always refer to (a) in the following, and conventionally label the mass eigenstates in the order of increasing mass (m 1 < m 2 < m 3 ). In this case, as far as solar neutrinos are concerned, the two quasidegenerate mass eigenstates ν 1 and ν 2 participate actively to matter-enhanced transitions, while the "lone" state ν 3 is a spectator neutrino that reveals its presence only through the mixing [40][41][42].…”

Section: A a Simple Three-flavor Framework And Its Parameter Spacementioning

confidence: 99%

Matter-enhanced three-flavor oscillations and the solar neutrino problem

1996

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We present a systematic analysis of the three-flavor Mikheyev-SmirnovWolfenstein (MSW) oscillation solutions to the solar neutrino problem, in the hypothesis that the two independent neutrino square mass differences, δm 2 and m 2 , are well separated: δm 2 ≪ m 2 . At zeroth order in δm 2 /m 2 , the relevant variables for solar neutrinos are δm 2 and two mixing angles, ω and φ. We introduce new graphical representations of the parameter space (δm 2 , ω, φ), that prove useful both to analyze the properties of the electronneutrino survival probability and to present the results of the analysis of solar neutrino data. We make a detailed comparison between the theoretical predictions of the Bahcall-Pinsonneault standard solar model and the current experimental results on solar neutrino rates, and discuss thoroughly the 1 MSW solutions found by spanning the whole three-flavor space (δm 2 , ω, φ).The allowed regions can be radically different from the usual "small mixing"and "large mixing" solutions, characteristic of the usual two-generation MSW approach. We also discuss the link between these results and the independent information on neutrino masses and mixings coming from accelerator and reactor oscillation searches. PACS number(s): 26.65.+t,14.60.Pq,13.15.+g.

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“…Some effort has been spared on the exact solution of the connected cubic eigenvalue problem [1]. However, the obtained solutions are huge and were up to now only used in computer based calculations.…”

Section: Introductionmentioning

confidence: 99%

Analytic approximations for three neutrino oscillation parameters and probabilities in matter

2001

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The corrections to neutrino mixing parameters in the presence of matter of constant density are calculated systematically as series expansions in terms of the mass hierarchy ∆m 2 21 /∆m 2 31 . The parameter mapping obtained is then used to find simple, but nevertheless accurate formulas for oscillation probabibilities in matter including CP-effects. Expressions with one to one correspondence to the vacuum case are derived, which are valid for neutrino energies above the solar resonance energy. Two applications are given to show that these results are a useful and powerful tool for analytical studies of neutrino beams passing through the Earth mantle or core: First, the "disentanglement problem" of matter and CP-effects in the CP-asymmetry is discussed and second, estimations of the statistical sensitivity to the CP-terms of the oscillation probabilities in neutrino factory experiments are presented.

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Adiabatic resonant oscillations of solar neutrinos in three generations

Cited by 42 publications

References 13 publications

Three flavor neutrino oscillations in matter

Three flavor neutrino oscillations in matter

Matter-enhanced three-flavor oscillations and the solar neutrino problem

Analytic approximations for three neutrino oscillation parameters and probabilities in matter

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