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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

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