Three flavor neutrino oscillations in matter
Open accessAbstract
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.
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SciCode includes research problems built upon or reproducing methods used in Nobel Prize-winning studies.
“We also include several research problems that are built upon or reproduce methods used in Nobel Prize-winning studies to highlight current trends in scientific research: the self-consistent field (SCF) method for density functional theory (DFT) calculations [37] (The Nobel Prize in Chemistry 1998) , the PMNS matrix for neutrino oscillation in matter [54, 61] (The Nobel Prize in Physics 2015) ,”
From SciCode: A Research Coding Benchmark Curated by Scientists (2024) · cites this paper as [61]
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“…for density functional theory (DFT) calculations [37] (The Nobel Prize in Chemistry 1998) , the PMNS matrix for neutrino oscillation in matter [54, 61] (The Nobel Prize in Physics 2015) , the Haldane model for the anomalous quantum Hall effect [26] (The Nobel Prize in Physics 2016) , optical…”
BackgroundLimits on the parameter space of (3+2) sterile neutrino scenario by IceCube data
Cabrera, E., Esmaili, A., & Quiroga, A. A. (2024) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2024/11/059 · Cited by 3 · see citing works
Neutrino oscillations in presence of diagonal elements of scalar NSI: an analytic approach
Bezboruah, D., Chattopadhyay, D. S., Medhi, A., Sarker, A., & Devi, M. M. (2024) · Journal of High Energy Physics · doi:10.1007/jhep12(2024)222 · Cited by 3 · see citing works
Analytic neutrino oscillation probabilities
Fong, C. S. (2023) · SciPost Physics · doi:10.21468/scipostphys.15.1.013 · Cited by 3 · see citing works
ON THE DEGENERACIES OF THE MASS-SQUARED DIFFERENCES FOR THREE-NEUTRINO OSCILLATIONS
Latimer, D. C., & ERNST, D. J. (2005) · Modern Physics Letters A · doi:10.1142/s0217732305017937 · Cited by 3 · see citing works
Rephasing invariance and neutrino mixing
Chiu, S. H., & Kuo, T. K. (2010) · Journal of High Energy Physics · doi:10.1007/jhep11(2010)080 · Cited by 3 · see citing works
Tommy Ohlsson, B. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)01291-6 · Cited by 3 · see citing works
Tommy Ohlsson, B. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 3 · see citing works
Steering in neutrino oscillations with non-standard interaction
Konwar, L., & Yadav, B. (2025) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/1361-6471/adbfb0 · Cited by 2 · see citing works
Revisiting series expansions of neutrino oscillation and decay probabilities in matter
Grönroos, J., Tommy Ohlsson, B., & Vihonen, S. (2025) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.111.035003 · Cited by 2 · see citing works
Propagation of GeV neutrinos through Earth
Olivas, Y. D., & Sahu, S. (2018) · Journal of High Energy Astrophysics · doi:10.1016/j.jheap.2018.02.001 · Cited by 2 · see citing works
Magnus expansion and three-neutrino oscillations in matter
Cabral-Rosetti, L. G., Aguilar-Arevalo, A. A., & D’Olivo, J. C. (2006) · Journal of Physics Conference Series · doi:10.1088/1742-6596/37/1/028 · Cited by 2 · see citing works
Majorana CP violation insights from decaying neutrinos
Parveen, S., Bonthu, S., Nath, N., Dey, U. K., & Mehta, P. (2026) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2026.117298 · Cited by 1 · see citing works
Impact of scalar NSI on spatial and temporal correlations in neutrino oscillations
Yadav, B., & Alok, A. K. (2025) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/1361-6471/ae263c · Cited by 1 · see citing works
Neutrino mass ordering and CP violation via quantum steering with NSI
Konwar, L. (2025) · Journal of subatomic particles and cosmology. · doi:10.1016/j.jspc.2025.100065 · Cited by 1 · see citing works
- Authors
- Ohlsson, T., & Snellman, H.
- Affiliations
- Division of Mathematical Physics, Theoretical Physics, Department of Physics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
- KTH Royal Institute of Technology (SE)
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 2000-05-01
- Volume
- 41
- Issue
- 5
- Pages
- 2768-2788
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2135192587
- Cited by
- 118
- References
- 21
- Citations by year
- 2026: 5 · 2025: 12 · 2024: 6 · 2023: 8 · 2022: 1 · 2021: 5 · 2020: 4 · 2019: 2 · 2018: 6 · 2016: 4 · 2015: 3 · 2014: 3 · 2013: 2 · 2012: 2
- FWCI
- 6.25
- Type
- journal article
- Language
- en
- Update notices
- correction (2001-05-01)
- Open access
- green
- arxiv.org
- Locations
- Journal of Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- KTH Publication Database DiVA (KTH Royal Institute of Technology) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Neutrino Physics Research
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Nuclear physics research studies
- Keywords
- three-flavor neutrino oscillations, neutrino oscillations in matter, plane wave approximation, evolution operator, transition probabilities, matter density
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