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SUMMARY:The KTY formalism and nonadiabatic contributions to the neutrino o
scillation probability
DTSTART;VALUE=DATE-TIME:20140704T144500Z
DTEND;VALUE=DATE-TIME:20140704T150000Z
DTSTAMP;VALUE=DATE-TIME:20200712T160607Z
UID:indico-contribution-1549@indico.ific.uv.es
DESCRIPTION:Speakers: Osamu Yasuda (Tokyo Metropolitan University)\nIt is
shown that it is possible to obtain the analytical expression for the\neff
ective mixing angle in matter using the formalism which was developed by K
imura\, Takamura and Yokomakura for the neutrino oscillation probability i
n\nmatter with constant density. If we assume that the imaginary part of t
he\nintegral of the difference of the energy eigenvalues of the two levels
at each\nlevel-crossing is given by the ratio $\\gamma$ of the difference
of the energy\neigenvalues of the two levels to the derivative of the eff
ective mixing angle\nat the level-crossing\, then the nonadiabatic contrib
ution to the oscillation\nprobability can be expressed analytically by thi
s formalism. We give one\nexample in which the energy eigenvalues cannot b
e expressed as roots of a\nquadratic equation and we show that our assumpt
ion is correct in the\napproximation of the small mixing angle. (arXiv:140
2.5569)\n\nhttps://indico.ific.uv.es/event/2025/contributions/1549/
LOCATION: Auditorium 3B
URL:https://indico.ific.uv.es/event/2025/contributions/1549/
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