Table 3: Neutrino processes and their emissivities Q in the core and in the crust. Third column shows the onset for some processes to operate (critical proton fraction  $Y_{\rm p}^{\rm c}$). Detailed functions and precise factors can be found in the references (last column).
Process $Q~[{\rm erg~ cm^{-3}~s^{-1}}]$ Onset Ref.

Processes in the core

MUrca (n-branch)		      
$nn\rightarrow pne\bar\nu_{\rm e}$      
$pne\rightarrow nn\nu_{\rm e}$ $8\times 10^{21}~\mathcal R^{MU}_n ~n_{\rm p}^{1/3} ~T^8_9$   1
MUrca (p-branch)      
$np\rightarrow ppe\bar\nu_{\rm e}$      
$ppe\rightarrow np\nu_{\rm e}$ $8\times 10^{21} ~\mathcal R^{MU}_p ~n_{\rm p}^{1/3} ~T^8_9$ $Y_{\rm p}^c=0.01$ 1
NN-Bremsstrahlung      
$nn\rightarrow nn \nu \bar\nu$ $7\times 10^{19}~ \mathcal R^{nn} ~n_n^{1/3} ~T^8_9$   1
$np\rightarrow np \nu \bar\nu$ $ 1\times10^{20} ~\mathcal R^{np} ~n_{\rm p}^{1/3} ~T^8_9$   1
$pp\rightarrow pp \nu \bar\nu $ $7 \times 10^{19}~\mathcal R^{pp} ~n_{\rm p}^{1/3} ~T^8_9$   1
e-p Bremsstrahlung      
$ep\rightarrow ep \nu \bar\nu $ $2\times 10^{17}~n_B^{-2/3} ~T^8_9$   2
DUrca      
$n\rightarrow pe\bar\nu_{\rm e}, pe \rightarrow n\nu_{\rm e}$ $4\times 10^{27}~\mathcal R^{DU} ~n_{\rm e}^{1/3}% ~T_9^6$ $Y_{\rm p}^c=0.11$ 3
$n\rightarrow p\mu\bar\nu_{\mu},p\mu \rightarrow n\nu_{\mu}$ $4\times 10^{27}~\mathcal R^{DU} ~n_{\rm e}^{1/3}% ~T_9^6$ $Y_{\rm p}^c=0.14$ 3

Processes in the crust

Pair annihilation		      
$e{\rm e}^+\rightarrow \nu \bar\nu$ $9 \times 10^{20}~ F_{\rm pair}(n_{\rm e},n_{\rm e^+})$   4
Plasmon decay      
$\tilde e\rightarrow \tilde e\nu\bar\nu$ $1\times 10^{20} ~ I_{\rm pl} (T,y_{\rm e})$   5
e-A Bremsstrahlung      
$e (A,Z) \rightarrow e (A,Z) \nu \bar\nu$ $3 \times 10^{12}~ L_{eA}~Z~\rho_{\rm o}~n_{\rm e}~T^6_9$   6
N-N-Bremsstrahlung      
$nn\rightarrow nn \nu \bar\nu$ $7 \times 10^{19}~ \mathcal R^{\rm nn}f_{\nu} ~n_n^{1/3} ~T^8_9$   1

Processes in the core and in the crust

CPBF		      
$\tilde B + \tilde B \rightarrow \nu \bar \nu$ $1\times 10^{21}~n_N^{1/3} ~F_{A,B}~ T^7_9$   7
Neutrino synchrotron      
$e \rightarrow (B) \rightarrow e \nu \bar\nu$ $9\times10^{14}~S_{AB,BC}% ~B_{13}^2 ~T^5_9$   8
Ref. (1) Yakovlev & Levenfish (1995); (2) Maxwell (1979); (3) Lattimer et al. (1991); (4) Kaminker & Yakovlev (1994); (5) Yakovlev et al. (2001); (6) Kaminker et al. (1999); Haensel et al. (1996); (7) Yakovlev et al. (1999); (8) Bezchastnov et al. (1997).


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