Development of a Liquid Scintillator and of Data ... - Borexino - Infn
Development of a Liquid Scintillator and of Data ... - Borexino - Infn
Development of a Liquid Scintillator and of Data ... - Borexino - Infn
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1 Solar Neutrinos<br />
km in the earth. The mixing angle in matter ÑØ is related to the one in vacuum by the<br />
relation<br />
×Ò ÑØ <br />
This expression has a resonance for<br />
Thus, for regions with<br />
there is local maximal mixing<br />
×Ò <br />
Ó× ÄÓ× ÄÑØ ×Ò <br />
ÄÓ×<br />
ÄÑØ<br />
<br />
Ó× <br />
Ó× ¡Ñ<br />
Ô <br />
×Ò ÑØ ÑØ Æ<br />
even though the vacuum mixing angle can be very small. As from the solar core to the<br />
surface, the density <strong>of</strong> the matter decreases from 150 g/cm in the core to zero at the surface,<br />
this condition can be fulfilled for all electron neutrinos produced in the solar core with energies<br />
above a given threshold:<br />
<br />
¡Ñ Ó× <br />
Ô Æ<br />
The neutrinos with energies are generated in the solar core ( ) as electron neutrinos,<br />
which in the high density region are mainly constituted by the heavier mass eigenstate.<br />
Under adiabatic conditions no transitions between the heavy <strong>and</strong> the light eigenstate occur, so<br />
that the neutrino leaves the sun as a neutrino <strong>of</strong> a different flavour. In the non-adiabatic case,<br />
the conversion is only partial. The phenomenon <strong>of</strong> neutrino oscillations in matter can also take<br />
place inside the earth: electron neutrinos that have been converted into other flavours inside the<br />
sun, can regenerate while crossing the earth, leading to a day/night asymmetry in the detected<br />
neutrino rate.<br />
14