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

C[f] = j(1 − f) − χf +
+ X
» Z
(1 − f)
scat
+ X
pair prod
Collision integral
» Z
(1 − f)
R in
s f ′ E ′2 dE ′ dµ ′ − f
particle emissivity and absorptivity
in-scattering contribution
out-scattering contribution
in-coming pair contribution
out-coming pair contribution
R in TP (1 − ¯ f ′ )E ′2 dE ′ dµ ′ − f
Z
R out
s (1 − f ′ ) E ′2
–
′ ′
dE dµ +
Z
R out
TP ¯ f ′ E ′2
–
′ ′
dE dµ
f(E, µ) R out
TP (E, E′ , µ, µ ′ ) ¯ f ′ (E ′ , µ ′ )E ′2 dE ′ dµ ′ ∝ amount of
particles with configuration (E, µ) and anti-particles ( ¯ f) with any
configuration (E ′ , µ ′ ), absorbed by pair processes
Neutrinos in core collapse SN explosion - Paris, 10 September 2009 – p. 17/48