Abstract
We find an analytical expression of neutrino oscillation in the earth matter medium. We give analytical expresssion for the energy eigenvalue and CP violating phase in matter for three generations of neutrinos using the Fritzsch parametrigation for the flavor mixing matrix.We also study how the earth matter effects can change the CP violating phase. We find that the matter effects is negligibles in normal and inverted neutrino spectrum.We find that CP violating phase is invariant in matter medium.
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Violation Ed, C.P., Wolfenstein, L.: Elsevier Science Publishers B.V., North-Holland (1989)
Chau, L.L.: Phys. Rept. 95, 1 (1983)
Christenson, J.H., et al.: Phys. Rev. Lett. 13, 138 (1964)
Paschos, E.A., Turke, U.: Phys. Rept. 4, 145 (1989)
Violation Ed., C.P., Jarlskog, C.: World Scientific Publication Co. Pte. Ltd (1989)
CHOOZ Collaboration: . Phys. Lett. B466, 415 (2003)
Koranga, B.S., Narayan, M., Uma Sankar, S.: FizikaB 18, 219–226 (2009)
Chau, L., Keung, K.: Phys. Rev. Lett. 53, 1802 (1984)
Zaglauer, H.W., Schwarzer, K.H.: Z. Phys. C-Particle and Fields 40, 273–282 (1988)
Supper-Kmaiokande Collaboration, Hosaka, J., et al.: Phys. Rev. D 74, 032002 (2006)
KamLAND Collaboration, Araki, T., et al.: Phys. Rev. Lett. 94, 081801 (2008)
de Salas, P.F., et al.: Phys. Lett. B 782, 633–640 (2018)
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Koranga, B.S. The CP Violating Phase in Matter for Three Generatons of Neutrinos Using the Fritzsch Parametrization. Int J Theor Phys 59, 3224–3228 (2020). https://doi.org/10.1007/s10773-020-04575-1
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DOI: https://doi.org/10.1007/s10773-020-04575-1