The role of neutrinos in core collapse Supernova explosion - LUTh ...
The role of neutrinos in core collapse Supernova explosion - LUTh ...
The role of neutrinos in core collapse Supernova explosion - LUTh ...
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Boltzmann transport equation<br />
Distribution functions, f(t,a,µ,E)<br />
dN = gsf(t, a, µ, E)E2 dE dµ dV<br />
µ = cos θp<br />
θp angle between p and r, mea-<br />
Γ<br />
sured by comov<strong>in</strong>g observer<br />
Boltztrann transport equation (BTE): evolution <strong>of</strong> the distribution<br />
function <strong>in</strong> phase space<br />
D[f] = C[f]<br />
D[f] → Liouville operator: directional derivative <strong>of</strong> f along<br />
trajectories <strong>of</strong> free particles propagation<br />
α ∂<br />
D[ ] = p<br />
∂xα − Γα βγp β γ ∂<br />
p<br />
∂pα C[f] → collision <strong>in</strong>tegral: changes <strong>in</strong> f due to collision and<br />
reactions<br />
Neutr<strong>in</strong>os <strong>in</strong> <strong>core</strong> <strong>collapse</strong> SN <strong>explosion</strong> - Paris, 10 September 2009 – p. 16/48
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