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The role of neutrinos in core collapse Supernova explosion - LUTh ...

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C[f] = j(1 − f) − χf +<br />

+ X<br />

» Z<br />

(1 − f)<br />

scat<br />

+ X<br />

pair prod<br />

Collision <strong>in</strong>tegral<br />

» Z<br />

(1 − f)<br />

R <strong>in</strong><br />

s f ′ E ′2 dE ′ dµ ′ − f<br />

particle emissivity and absorptivity<br />

R <strong>in</strong> TP (1 − ¯ f ′ )E ′2 dE ′ dµ ′ − f<br />

Z<br />

R out<br />

s (1 − f ′ ) E ′2<br />

–<br />

′ ′<br />

dE dµ +<br />

Z<br />

R out<br />

TP ¯ f ′ E ′2<br />

–<br />

′ ′<br />

dE dµ<br />

j(E, µ)(1 − f(E, µ)) ∝ amount <strong>of</strong> <strong>neutr<strong>in</strong>os</strong> with energy E and<br />

direction µ emitted by electron (positron) capture<br />

χ(E, µ)f(E, µ) ∝ amount <strong>of</strong> <strong>neutr<strong>in</strong>os</strong> with energy E and<br />

direction µ absorbed by <strong>in</strong>verse electron (positron) capture<br />

Neutr<strong>in</strong>os <strong>in</strong> <strong>core</strong> <strong>collapse</strong> SN <strong>explosion</strong> - Paris, 10 September 2009 – p. 17/48

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