\begin{table}%t3 
\par
\caption{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).}\label{Neutrinocore} 
%\centerline
 {\begin{tabular}{lllc}
\hline\hline
Process &$Q~[{\rm erg~ cm^{-3}~s^{-1}}]$ 
                    &Onset&Ref.\\ 
\hline\noalign{\smallskip}
\multicolumn{4}{l}{Processes in the core}\\ 
\noalign{\smallskip}
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) &  & &\\ 
 $np\rightarrow ppe\bar\nu_{\rm e}$ &&&\\
 $ppe\rightarrow np\nu_{\rm e}$  
 & 
$8\times 10^{21} ~\mathcal R^{MU}_p ~n_{\rm p}^{1/3} 
 %~\Theta_p 
 ~T^8_9$ &$Y_{\rm p}^c=0.01$  & 1 \\ 
\hline
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 \\ 
\hline
$e$--$p$ Bremsstrahlung   & &&\\ 
$ep\rightarrow ep \nu \bar\nu $ &
$2\times 10^{17}~n_B^{-2/3}
~T^8_9$  && 2 \\
\hline
DUrca &&&\\
$n\rightarrow pe\bar\nu_{\rm e}, pe \rightarrow n\nu_{\rm e}$& 
$4\times 10^{27}~\mathcal R^{DU} ~n_{\rm e}^{1/3}%~\Theta_e
~T_9^6$
&$Y_{\rm p}^c=0.11$& 3\\ 
$n\rightarrow p\mu\bar\nu_{\mu},p\mu \rightarrow n\nu_{\mu}$ 
& $4 \times 10^{27}~\mathcal R^{DU} ~n_{\rm e}^{1/3}%~\Theta_{\nu}
~T_9^6$ 
&$Y_{\rm p}^c=0.14$& 3\\
\hline\noalign{\smallskip}
\multicolumn{4}{l}{Processes in the crust}\\
\noalign{\smallskip}
Pair annihilation  & & &\\ 
$e{\rm e}^+\rightarrow \nu \bar\nu$ &
$9 \times 10^{20}~ F_{\rm pair}(n_{\rm e},n_{\rm e^+})$ &  & 4\\
&&\\
\hline
Plasmon decay &&&\\
$\tilde e\rightarrow \tilde e\nu\bar\nu$ &
$1\times 10^{20} ~ I_{\rm pl} (T,y_{\rm e})$
& & 5\\
\hline
$e-A$ 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\\
\hline 
$N-N$-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  \\ 
\hline\noalign{\smallskip}
\multicolumn{4}{l}{Processes in the core and in the crust}\\ 
\noalign{\smallskip}
\hline
CPBF && &\\
$\tilde B + \tilde B \rightarrow \nu \bar \nu$
&$1\times 10^{21}~n_N^{1/3} 
~F_{A,B}~ T^7_9$&
& 7\\
\hline 
Neutrino synchrotron&&&\\  
 $e \rightarrow (B) \rightarrow e \nu \bar\nu$ 
&$9\times10^{14}~S_{AB,BC}%S_{BC}
~B_{13}^2 ~T^5_9$ &  
& 8\\
\hline
  \end{tabular}}
\par
\smallskip
Ref. (1)~\cite{YakovlevLevenfish1995}; (2)~\cite{Maxwell1979}; (3)~\cite{Lattimer1991}; 
(4)~\cite{Kaminker1994}; (5)~\cite{YakovReport2001}; (6)~\cite{Haensel1996,Kaminker1999}; 
(7)~\cite{Yakovlev1999A}; (8)~\cite{Bez1997}. 
\end{table}