FINE GRID CALCULATIONS OF ELECTRON/POSITRON CAPTURE AND NEUTRINO ENERGY LOSS RATES ON NI-56 FOR PRESUPERNOVA AND SUPERNOVA PHYSICS EXPLANATION OF TABLE ADEN: LOG(RHO Y_e), (g.cm^-3) WHERE RHO IS THE BARYON DENSITY AND Y_e IS THE ELECTRON TO BARYON RATIO T9: (10^9 K) STELLAR TEMPERATURE EFERMI: (MeV) TOTAL FERMI ENERGY OF ELECTRON AND POSITRON INCLUDING THE REST MASS E-CAP: (s^-1) ELECTRON CAPTURE RATE E+CAP: (s^-1) POSITRON CAPTURE RATE NEUE: (MeV.s^-1) NEUTRINO ENERGY LOSS RATE NEUEBAR: (MeV.s^-1) ANTINEUTRINO ENERGY LOSS RATE 56 56 56 56 NI --> CO NI --> CU 28 28 27 29 28 28 29 27 ADEN T9 EFERMI E-CAP NEUE E+CAP NEUEBAR 0.5 0.50 0.065 -9.828 -6.917 -100.000 -100.000 0.5 1.00 0.000 -7.394 -6.826 -81.298 -81.247 0.5 1.50 0.000 -6.148 -6.152 -54.201 -54.126 0.5 2.00 0.000 -5.391 -5.389 -40.556 -40.456 0.5 2.50 0.000 -4.846 -4.782 -32.317 -32.190 0.5 3.00 0.000 -4.418 -4.290 -26.790 -26.636 0.5 3.50 0.000 -4.063 -3.873 -22.817 -22.636 0.5 4.00 0.000 -3.756 -3.506 -19.818 -19.609 0.5 4.50 0.000 -3.481 -3.167 -17.468 -17.232 0.5 5.00 0.000 -3.227 -2.843 -15.575 -15.312 0.5 5.50 0.000 -2.984 -2.529 -14.014 -13.724 0.5 6.00 0.000 -2.747 -2.223 -12.702 -12.386 0.5 6.50 0.000 -2.512 -1.928 -11.583 -11.241 0.5 7.00 0.000 -2.281 -1.645 -10.615 -10.249 0.5 7.50 0.000 -2.053 -1.376 -9.769 -9.378 0.5 8.00 0.000 -1.831 -1.121 -9.021 -8.606 0.5 8.50 0.000 -1.616 -0.879 -8.354 -7.917 0.5 9.00 0.000 -1.410 -0.650 -7.756 -7.297 0.5 9.50 0.000 -1.211 -0.433 -7.215 -6.735 0.5 10.00 0.000 -1.022 -0.227 -6.724 -6.222 0.5 20.00 0.000 1.464 2.433 -1.625 -0.821 0.5 30.00 0.000 2.691 3.787 0.473 1.457 1.0 0.50 0.113 -9.348 -6.916 -100.000 -100.000 1.0 1.00 0.000 -7.392 -6.826 -81.300 -81.249 1.0 1.50 0.000 -6.148 -6.151 -54.200 -54.126 1.0 2.00 0.000 -5.391 -5.388 -40.556 -40.455 1.0 2.50 0.000 -4.846 -4.781 -32.317 -32.190 1.0 3.00 0.000 -4.418 -4.289 -26.790 -26.636 1.0 3.50 0.000 -4.062 -3.872 -22.817 -22.635 1.0 4.00 0.000 -3.755 -3.505 -19.817 -19.608 1.0 4.50 0.000 -3.481 -3.166 -17.468 -17.231 1.0 5.00 0.000 -3.226 -2.842 -15.575 -15.310 1.0 5.50 0.000 -2.983 -2.528 -14.014 -13.723 1.0 6.00 0.000 -2.746 -2.222 -12.702 -12.385 1.0 6.50 0.000 -2.512 -1.927 -11.583 -11.240 1.0 7.00 0.000 -2.280 -1.644 -10.615 -10.247 1.0 7.50 0.000 -2.053 -1.375 -9.768 -9.376 1.0 8.00 0.000 -1.831 -1.120 -9.020 -8.605 1.0 8.50 0.000 -1.616 -0.878 -8.354 -7.915 1.0 9.00 0.000 -1.409 -0.648 -7.756 -7.295 1.0 9.50 0.000 -1.211 -0.431 -7.215 -6.733 1.0 10.00 0.000 -1.021 -0.226 -6.723 -6.220 1.0 20.00 0.000 1.465 2.435 -1.624 -0.818 1.0 30.00 0.000 2.692 3.790 0.474 1.461 1.5 0.50 0.162 -8.850 -6.914 -100.000 -100.000 1.5 1.00 0.002 -7.387 -6.825 -81.305 -81.254 1.5 1.50 0.000 -6.147 -6.151 -54.201 -54.126 1.5 2.00 0.000 -5.391 -5.388 -40.556 -40.455 1.5 2.50 0.000 -4.846 -4.781 -32.317 -32.190 1.5 3.00 0.000 -4.418 -4.289 -26.790 -26.636 1.5 3.50 0.000 -4.062 -3.872 -22.817 -22.635 1.5 4.00 0.000 -3.755 -3.505 -19.817 -19.608 1.5 4.50 0.000 -3.481 -3.166 -17.468 -17.231 1.5 5.00 0.000 -3.226 -2.842 -15.575 -15.310 1.5 5.50 0.000 -2.983 -2.528 -14.013 -13.722 1.5 6.00 0.000 -2.746 -2.222 -12.702 -12.384 1.5 6.50 0.000 -2.512 -1.927 -11.583 -11.239 1.5 7.00 0.000 -2.280 -1.644 -10.615 -10.246 1.5 7.50 0.000 -2.053 -1.375 -9.768 -9.375 1.5 8.00 0.000 -1.831 -1.119 -9.020 -8.604 1.5 8.50 0.000 -1.616 -0.877 -8.354 -7.915 1.5 9.00 0.000 -1.409 -0.648 -7.755 -7.294 1.5 9.50 0.000 -1.211 -0.431 -7.215 -6.732 1.5 10.00 0.000 -1.021 -0.225 -6.723 -6.220 1.5 20.00 0.000 1.465 2.436 -1.623 -0.817 1.5 30.00 0.000 2.693 3.791 0.474 1.462 2.0 0.50 0.212 -8.350 -6.908 -100.000 -100.000 2.0 1.00 0.005 -7.370 -6.822 -81.321 -81.270 2.0 1.50 0.000 -6.146 -6.150 -54.202 -54.127 2.0 2.00 0.000 -5.390 -5.388 -40.556 -40.456 2.0 2.50 0.000 -4.846 -4.781 -32.317 -32.190 2.0 3.00 0.000 -4.418 -4.288 -26.790 -26.635 2.0 3.50 0.000 -4.062 -3.872 -22.817 -22.635 2.0 4.00 0.000 -3.755 -3.505 -19.817 -19.608 2.0 4.50 0.000 -3.480 -3.166 -17.468 -17.231 2.0 5.00 0.000 -3.226 -2.842 -15.575 -15.310 2.0 5.50 0.000 -2.983 -2.528 -14.013 -13.722 2.0 6.00 0.000 -2.746 -2.222 -12.702 -12.384 2.0 6.50 0.000 -2.512 -1.927 -11.583 -11.239 2.0 7.00 0.000 -2.280 -1.644 -10.615 -10.246 2.0 7.50 0.000 -2.053 -1.375 -9.768 -9.375 2.0 8.00 0.000 -1.831 -1.119 -9.020 -8.604 2.0 8.50 0.000 -1.616 -0.877 -8.354 -7.915 2.0 9.00 0.000 -1.409 -0.648 -7.755 -7.294 2.0 9.50 0.000 -1.211 -0.431 -7.215 -6.732 2.0 10.00 0.000 -1.021 -0.225 -6.723 -6.219 2.0 20.00 0.000 1.465 2.436 -1.623 -0.817 2.0 30.00 0.000 2.693 3.791 0.474 1.463 2.5 0.50 0.261 -7.850 -6.887 -100.000 -100.000 2.5 1.00 0.015 -7.319 -6.811 -81.373 -81.322 2.5 1.50 0.002 -6.143 -6.147 -54.205 -54.130 2.5 2.00 0.000 -5.390 -5.387 -40.557 -40.456 2.5 2.50 0.000 -4.846 -4.780 -32.317 -32.190 2.5 3.00 0.000 -4.418 -4.288 -26.790 -26.636 2.5 3.50 0.000 -4.062 -3.872 -22.817 -22.635 2.5 4.00 0.000 -3.755 -3.505 -19.817 -19.608 2.5 4.50 0.000 -3.480 -3.166 -17.468 -17.231 2.5 5.00 0.000 -3.226 -2.842 -15.575 -15.310 2.5 5.50 0.000 -2.983 -2.528 -14.013 -13.722 2.5 6.00 0.000 -2.746 -2.222 -12.702 -12.384 2.5 6.50 0.000 -2.512 -1.927 -11.583 -11.239 2.5 7.00 0.000 -2.280 -1.644 -10.615 -10.246 2.5 7.50 0.000 -2.053 -1.375 -9.768 -9.375 2.5 8.00 0.000 -1.831 -1.119 -9.020 -8.604 2.5 8.50 0.000 -1.616 -0.877 -8.354 -7.914 2.5 9.00 0.000 -1.409 -0.648 -7.755 -7.294 2.5 9.50 0.000 -1.210 -0.431 -7.215 -6.732 2.5 10.00 0.000 -1.021 -0.225 -6.723 -6.219 2.5 20.00 0.000 1.465 2.436 -1.623 -0.817 2.5 30.00 0.000 2.693 3.791 0.475 1.463 3.0 0.50 0.311 -7.350 -6.828 -100.000 -100.000 3.0 1.00 0.046 -7.165 -6.773 -81.527 -81.476 3.0 1.50 0.005 -6.132 -6.138 -54.216 -54.141 3.0 2.00 0.001 -5.387 -5.384 -40.559 -40.459 3.0 2.50 0.001 -4.845 -4.780 -32.318 -32.191 3.0 3.00 0.000 -4.417 -4.288 -26.790 -26.636 3.0 3.50 0.000 -4.062 -3.872 -22.817 -22.635 3.0 4.00 0.000 -3.755 -3.504 -19.817 -19.608 3.0 4.50 0.000 -3.480 -3.165 -17.468 -17.231 3.0 5.00 0.000 -3.226 -2.842 -15.575 -15.310 3.0 5.50 0.000 -2.983 -2.527 -14.013 -13.722 3.0 6.00 0.000 -2.746 -2.222 -12.702 -12.384 3.0 6.50 0.000 -2.512 -1.927 -11.583 -11.239 3.0 7.00 0.000 -2.280 -1.644 -10.615 -10.246 3.0 7.50 0.000 -2.053 -1.375 -9.768 -9.375 3.0 8.00 0.000 -1.831 -1.119 -9.020 -8.604 3.0 8.50 0.000 -1.616 -0.877 -8.354 -7.914 3.0 9.00 0.000 -1.409 -0.648 -7.755 -7.294 3.0 9.50 0.000 -1.210 -0.431 -7.214 -6.732 3.0 10.00 0.000 -1.021 -0.225 -6.723 -6.219 3.0 20.00 0.000 1.465 2.436 -1.623 -0.816 3.0 30.00 0.000 2.693 3.791 0.475 1.463 3.5 0.50 0.361 -6.851 -6.682 -100.000 -100.000 3.5 1.00 0.115 -6.818 -6.643 -81.875 -81.824 3.5 1.50 0.015 -6.097 -6.109 -54.251 -54.176 3.5 2.00 0.004 -5.380 -5.377 -40.567 -40.466 3.5 2.50 0.002 -4.842 -4.777 -32.321 -32.194 3.5 3.00 0.001 -4.416 -4.287 -26.791 -26.637 3.5 3.50 0.001 -4.061 -3.871 -22.818 -22.636 3.5 4.00 0.001 -3.755 -3.504 -19.818 -19.608 3.5 4.50 0.000 -3.480 -3.165 -17.468 -17.231 3.5 5.00 0.000 -3.226 -2.842 -15.575 -15.310 3.5 5.50 0.000 -2.983 -2.527 -14.014 -13.722 3.5 6.00 0.000 -2.746 -2.222 -12.702 -12.384 3.5 6.50 0.000 -2.512 -1.927 -11.583 -11.239 3.5 7.00 0.000 -2.280 -1.644 -10.615 -10.246 3.5 7.50 0.000 -2.053 -1.374 -9.768 -9.375 3.5 8.00 0.000 -1.831 -1.119 -9.020 -8.604 3.5 8.50 0.000 -1.616 -0.877 -8.354 -7.914 3.5 9.00 0.000 -1.409 -0.648 -7.755 -7.294 3.5 9.50 0.000 -1.210 -0.431 -7.215 -6.732 3.5 10.00 0.000 -1.021 -0.225 -6.723 -6.219 3.5 20.00 0.000 1.465 2.436 -1.623 -0.816 3.5 30.00 0.000 2.693 3.791 0.475 1.463 4.0 0.50 0.411 -6.353 -6.403 -100.000 -100.000 4.0 1.00 0.209 -6.346 -6.360 -82.350 -82.299 4.0 1.50 0.047 -5.991 -6.017 -54.358 -54.283 4.0 2.00 0.014 -5.356 -5.354 -40.591 -40.490 4.0 2.50 0.006 -4.834 -4.768 -32.329 -32.202 4.0 3.00 0.004 -4.412 -4.283 -26.796 -26.641 4.0 3.50 0.002 -4.059 -3.869 -22.820 -22.638 4.0 4.00 0.002 -3.753 -3.503 -19.819 -19.609 4.0 4.50 0.001 -3.479 -3.164 -17.469 -17.232 4.0 5.00 0.001 -3.225 -2.841 -15.575 -15.311 4.0 5.50 0.001 -2.982 -2.527 -14.014 -13.723 4.0 6.00 0.001 -2.745 -2.221 -12.702 -12.384 4.0 6.50 0.001 -2.511 -1.926 -11.583 -11.239 4.0 7.00 0.000 -2.280 -1.644 -10.615 -10.246 4.0 7.50 0.000 -2.052 -1.374 -9.768 -9.375 4.0 8.00 0.000 -1.830 -1.119 -9.020 -8.604 4.0 8.50 0.000 -1.616 -0.877 -8.354 -7.914 4.0 9.00 0.000 -1.409 -0.648 -7.755 -7.294 4.0 9.50 0.000 -1.210 -0.431 -7.215 -6.732 4.0 10.00 0.000 -1.021 -0.225 -6.723 -6.219 4.0 20.00 0.000 1.465 2.436 -1.623 -0.816 4.0 30.00 0.000 2.693 3.791 0.475 1.463 4.5 0.50 0.464 -5.858 -6.009 -100.000 -100.000 4.5 1.00 0.309 -5.849 -5.953 -82.855 -82.804 4.5 1.50 0.130 -5.715 -5.768 -54.636 -54.561 4.5 2.00 0.044 -5.282 -5.281 -40.666 -40.565 4.5 2.50 0.020 -4.807 -4.741 -32.357 -32.230 4.5 3.00 0.011 -4.399 -4.270 -26.808 -26.654 4.5 3.50 0.007 -4.052 -3.862 -22.827 -22.645 4.5 4.00 0.005 -3.749 -3.498 -19.823 -19.614 4.5 4.50 0.004 -3.476 -3.162 -17.472 -17.235 4.5 5.00 0.003 -3.223 -2.839 -15.577 -15.313 4.5 5.50 0.002 -2.981 -2.526 -14.015 -13.724 4.5 6.00 0.002 -2.744 -2.221 -12.703 -12.386 4.5 6.50 0.002 -2.511 -1.926 -11.584 -11.240 4.5 7.00 0.001 -2.279 -1.643 -10.615 -10.247 4.5 7.50 0.001 -2.052 -1.374 -9.769 -9.376 4.5 8.00 0.001 -1.830 -1.119 -9.021 -8.604 4.5 8.50 0.001 -1.615 -0.877 -8.354 -7.915 4.5 9.00 0.001 -1.408 -0.648 -7.756 -7.294 4.5 9.50 0.001 -1.210 -0.430 -7.215 -6.732 4.5 10.00 0.001 -1.020 -0.225 -6.723 -6.219 4.5 20.00 0.000 1.465 2.436 -1.623 -0.816 4.5 30.00 0.000 2.693 3.791 0.475 1.463 5.0 0.50 0.522 -5.372 -5.556 -100.000 -100.000 5.0 1.00 0.413 -5.348 -5.483 -83.381 -83.330 5.0 1.50 0.265 -5.269 -5.340 -55.092 -55.017 5.0 2.00 0.128 -5.071 -5.074 -40.879 -40.779 5.0 2.50 0.062 -4.723 -4.658 -32.442 -32.315 5.0 3.00 0.035 -4.359 -4.230 -26.849 -26.695 5.0 3.50 0.023 -4.030 -3.840 -22.849 -22.668 5.0 4.00 0.016 -3.735 -3.485 -19.837 -19.628 5.0 4.50 0.012 -3.467 -3.153 -17.481 -17.244 5.0 5.00 0.009 -3.217 -2.834 -15.584 -15.319 5.0 5.50 0.007 -2.977 -2.522 -14.020 -13.729 5.0 6.00 0.006 -2.741 -2.218 -12.707 -12.389 5.0 6.50 0.005 -2.508 -1.924 -11.586 -11.243 5.0 7.00 0.004 -2.277 -1.642 -10.618 -10.249 5.0 7.50 0.004 -2.050 -1.373 -9.770 -9.377 5.0 8.00 0.003 -1.829 -1.117 -9.022 -8.605 5.0 8.50 0.003 -1.614 -0.876 -8.355 -7.916 5.0 9.00 0.002 -1.407 -0.647 -7.757 -7.295 5.0 9.50 0.002 -1.209 -0.430 -7.216 -6.733 5.0 10.00 0.002 -1.020 -0.224 -6.724 -6.220 5.0 20.00 0.000 1.465 2.436 -1.623 -0.816 5.0 30.00 0.000 2.693 3.791 0.475 1.463 5.5 0.50 0.598 -4.889 -5.074 -100.000 -100.000 5.5 1.00 0.528 -4.845 -4.982 -83.961 -83.910 5.5 1.50 0.423 -4.768 -4.841 -55.622 -55.547 5.5 2.00 0.295 -4.663 -4.666 -41.300 -41.200 5.5 2.50 0.180 -4.490 -4.424 -32.680 -32.553 5.5 3.00 0.110 -4.237 -4.107 -26.974 -26.819 5.5 3.50 0.072 -3.961 -3.771 -22.920 -22.738 5.5 4.00 0.050 -3.693 -3.443 -19.881 -19.671 5.5 4.50 0.038 -3.439 -3.126 -17.510 -17.272 5.5 5.00 0.029 -3.197 -2.816 -15.604 -15.339 5.5 5.50 0.023 -2.962 -2.510 -14.035 -13.743 5.5 6.00 0.019 -2.730 -2.209 -12.718 -12.400 5.5 6.50 0.016 -2.500 -1.917 -11.595 -11.251 5.5 7.00 0.013 -2.271 -1.637 -10.624 -10.256 5.5 7.50 0.012 -2.045 -1.369 -9.776 -9.383 5.5 8.00 0.010 -1.824 -1.114 -9.026 -8.610 5.5 8.50 0.009 -1.611 -0.873 -8.359 -7.919 5.5 9.00 0.008 -1.405 -0.644 -7.760 -7.298 5.5 9.50 0.007 -1.207 -0.428 -7.218 -6.735 5.5 10.00 0.006 -1.018 -0.222 -6.726 -6.222 5.5 20.00 0.001 1.466 2.437 -1.624 -0.817 5.5 30.00 0.001 2.693 3.791 0.475 1.463 6.0 0.50 0.713 -4.377 -4.537 -100.000 -100.000 6.0 1.00 0.672 -4.321 -4.439 -84.685 -84.634 6.0 1.50 0.604 -4.246 -4.304 -56.229 -56.154 6.0 2.00 0.512 -4.158 -4.151 -41.847 -41.746 6.0 2.50 0.405 -4.058 -3.986 -33.133 -33.006 6.0 3.00 0.299 -3.930 -3.796 -27.292 -27.138 6.0 3.50 0.214 -3.762 -3.570 -23.125 -22.943 6.0 4.00 0.156 -3.564 -3.315 -20.014 -19.804 6.0 4.50 0.117 -3.352 -3.043 -17.599 -17.362 6.0 5.00 0.091 -3.136 -2.760 -15.667 -15.402 6.0 5.50 0.073 -2.918 -2.472 -14.080 -13.789 6.0 6.00 0.060 -2.697 -2.182 -12.752 -12.434 6.0 6.50 0.050 -2.474 -1.897 -11.621 -11.278 6.0 7.00 0.042 -2.250 -1.621 -10.645 -10.277 6.0 7.50 0.036 -2.029 -1.356 -9.792 -9.399 6.0 8.00 0.032 -1.811 -1.104 -9.040 -8.623 6.0 8.50 0.028 -1.600 -0.864 -8.370 -7.931 6.0 9.00 0.025 -1.395 -0.637 -7.769 -7.307 6.0 9.50 0.022 -1.199 -0.421 -7.226 -6.743 6.0 10.00 0.020 -1.011 -0.217 -6.733 -6.229 6.0 20.00 0.005 1.467 2.437 -1.624 -0.817 6.0 30.00 0.002 2.693 3.792 0.474 1.463 6.5 0.50 0.905 -3.785 -3.883 -100.000 -100.000 6.5 1.00 0.880 -3.741 -3.807 -85.731 -85.680 6.5 1.50 0.837 -3.678 -3.697 -57.012 -56.937 6.5 2.00 0.777 -3.605 -3.570 -42.513 -42.413 6.5 2.50 0.701 -3.526 -3.434 -33.729 -33.602 6.5 3.00 0.612 -3.442 -3.295 -27.818 -27.664 6.5 3.50 0.517 -3.349 -3.149 -23.561 -23.379 6.5 4.00 0.424 -3.240 -2.989 -20.351 -20.142 6.5 4.50 0.343 -3.109 -2.804 -17.851 -17.614 6.5 5.00 0.277 -2.955 -2.591 -15.854 -15.589 6.5 5.50 0.226 -2.781 -2.352 -14.220 -13.929 6.5 6.00 0.187 -2.593 -2.095 -12.859 -12.541 6.5 6.50 0.157 -2.393 -1.832 -11.704 -11.361 6.5 7.00 0.134 -2.186 -1.571 -10.711 -10.342 6.5 7.50 0.115 -1.977 -1.316 -9.845 -9.452 6.5 8.00 0.100 -1.769 -1.071 -9.083 -8.666 6.5 8.50 0.088 -1.565 -0.836 -8.406 -7.966 6.5 9.00 0.078 -1.366 -0.613 -7.799 -7.337 6.5 9.50 0.069 -1.175 -0.401 -7.251 -6.768 6.5 10.00 0.062 -0.990 -0.199 -6.754 -6.250 6.5 20.00 0.015 1.469 2.440 -1.627 -0.820 6.5 30.00 0.007 2.694 3.792 0.474 1.462 7.0 0.50 1.217 -3.101 -3.094 -100.000 -100.000 7.0 1.00 1.200 -3.074 -3.048 -87.347 -87.296 7.0 1.50 1.173 -3.034 -2.977 -58.140 -58.065 7.0 2.00 1.133 -2.983 -2.887 -43.412 -43.311 7.0 2.50 1.083 -2.925 -2.788 -34.499 -34.372 7.0 3.00 1.021 -2.863 -2.682 -28.506 -28.351 7.0 3.50 0.950 -2.797 -2.573 -24.185 -24.003 7.0 4.00 0.871 -2.726 -2.459 -20.914 -20.704 7.0 4.50 0.785 -2.646 -2.337 -18.347 -18.110 7.0 5.00 0.698 -2.552 -2.197 -16.278 -16.014 7.0 5.50 0.613 -2.442 -2.034 -14.575 -14.284 7.0 6.00 0.534 -2.311 -1.846 -13.151 -12.833 7.0 6.50 0.465 -2.162 -1.636 -11.943 -11.599 7.0 7.00 0.404 -1.997 -1.414 -10.906 -10.537 7.0 7.50 0.353 -1.821 -1.189 -10.005 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