Advances in High Energy Physics / 2019 / Article / Tab 8 / Research Article
Study of the Effect of Newly Calculated Phase Space Factor on β -Decay Half-Lives Table 8 State-by-state comparison of calculated PSF (for
-decay) using recipe of [
17 ] and current prescription (TW). Shown also are the daughter energy levels, nuclear matrix elements NME,
values, partial half-lives (PHL), and branching ratio
for
-decay of the selected nuclei.
(MeV) NME (MeV) [17 ] [17 ] [17 ] 0.13300 0.01473 7.50300 86906.3 72966.7 3.12798E+00 3.72554E+00 7.2730 6.3720 0.35700 0.00115 7.14579 69557.1 64334.6 4.99967E+01 5.40553E+01 0.4550 0.4390 0.86400 0.00510 6.63935 49775.9 47317.7 1.57827E+01 1.66026E+01 1.4410 1.4300 1.00300 0.00322 6.50023 45212.0 43184.3 2.75281E+01 2.88207E+01 0.8260 0.8240 1.06300 0.00429 6.44024 43349.3 41485.6 2.15140E+01 2.24805E+01 1.0570 1.0560 1.10400 0.00278 6.39893 42102.4 40346.8 3.42401E+01 3.57299E+01 0.6640 0.6640 1.35000 0.26502 6.15278 35247.6 33999.4 4.28548E-01 4.44280E-01 53.084 53.434 1.41900 0.01521 6.08400 33499.6 32359.0 7.85740E+00 8.13437E+00 2.8950 2.9180 1.62000 0.00002 5.88283 28778.0 27883.9 7.89102E+03 8.14407E+03 0.0030 0.0030 1.64200 0.00000 5.86112 28301.8 27429.7 2.05672E+05 2.12210E+05 0.0000 0.0000 1.66900 0.00080 5.83372 27709.5 26864.9 1.81631E+02 1.87341E+02 0.1250 0.1270 2.03600 0.03084 5.46720 20688.6 20109.3 6.27339E+00 6.45412E+00 3.6260 3.6780 2.19100 0.00096 5.31207 18180.4 17678.5 2.30158E+02 2.36693E+02 0.0990 0.1000 2.21100 0.00002 5.29152 17867.1 17374.4 1.26201E+04 1.29779E+04 0.0020 0.0020 2.21700 0.00126 5.28623 17787.1 17296.8 1.79065E+02 1.84140E+02 0.1270 0.1290 2.33500 0.01496 5.16812 16074.2 15633.6 1.66481E+01 1.71173E+01 1.3660 1.3870 2.40500 0.00704 5.09834 15125.2 14712.6 3.75885E+01 3.86428E+01 0.6050 0.6140 2.48600 0.05959 5.01712 14077.3 13695.1 4.77186E+00 4.90505E+00 4.7670 4.8400 2.55600 0.00015 4.94728 13222.8 12865.6 2.04511E+03 2.10190E+03 0.0110 0.0110 2.59700 0.00001 4.90586 12735.9 12392.7 3.58668E+04 3.68600E+04 0.0010 0.0010 2.71000 0.00051 4.79275 11477.9 11170.8 6.88307E+02 7.07229E+02 0.0330 0.0340 2.73300 0.04131 4.76967 11233.8 10933.7 8.62714E+00 8.86390E+00 2.6370 2.6780 2.92100 0.00092 4.58202 9397.47 9150.19 4.64906E+02 4.77470E+02 0.0490 0.0500 3.04900 0.00007 4.45378 8285.68 8069.38 7.37202E+03 7.56963E+03 0.0030 0.0030 3.19200 0.00721 4.31146 7176.38 6990.87 7.73167E+01 7.93683E+01 0.2940 0.2990 3.29000 0.00845 4.21307 6480.88 6314.67 7.30755E+01 7.49989E+01 0.3110 0.3170 3.29600 0.01583 4.20677 6438.24 6273.21 3.92753E+01 4.03085E+01 0.5790 0.5890 3.36400 0.00058 4.13861 5990.84 5838.16 1.15661E+03 1.18685E+03 0.0200 0.0200 3.43900 0.00029 4.06433 5531.71 5391.47 2.52582E+03 2.59152E+03 0.0090 0.0090 3.45000 0.01045 4.05281 5463.09 5324.69 7.01033E+01 7.19255E+01 0.3250 0.3300 3.47100 0.00612 4.03206 5341.13 5205.96 1.22440E+02 1.25619E+02 0.1860 0.1890 3.49600 0.00482 4.00734 5198.67 5067.29 1.59594E+02 1.63732E+02 0.1430 0.1450 3.56900 0.00134 3.93407 4794.07 4673.52 6.24537E+02 6.40647E+02 0.0360 0.0370 3.68200 0.11627 3.82086 4218.21 4112.92 8.16217E+00 8.37111E+00 2.7870 2.8360 3.88800 0.00006 3.61534 3313.42 3232.01 2.10528E+04 2.15831E+04 0.0010 0.0010 4.05100 0.01897 3.45234 2711.28 2645.88 7.78203E+01 7.97437E+01 0.2920 0.2980 4.08800 0.37148 3.41515 2586.91 2524.78 4.16561E+00 4.26810E+00 5.4610 5.5620 4.12800 0.20740 3.37510 2458.04 2399.32 7.85229E+00 8.04448E+00 2.8970 2.9510 4.16900 0.00354 3.33446 2332.50 2277.04 4.84389E+02 4.96188E+02 0.0470 0.0480 4.22200 0.00034 3.28135 2176.15 2124.70 5.47159E+03 5.60410E+03 0.0040 0.0040 4.30800 0.00556 3.19476 1939.11 1893.63 3.71131E+02 3.80044E+02 0.0610 0.0620 4.31100 0.00722 3.19210 1932.17 1886.87 2.87049E+02 2.93941E+02 0.0790 0.0810 4.40800 0.00101 3.09502 1691.86 1652.46 2.33941E+03 2.39520E+03 0.010 0.010 4.43400 0.00003 3.06860 1630.72 1592.78 8.24004E+04 8.43631E+04 0.000 0.000 4.53600 0.00007 2.96655 1410.81 1378.03 4.15176E+04 4.25053E+04 0.001 0.001 4.56000 0.00318 2.94261 1362.77 1331.13 9.23619E+02 9.45568E+02 0.025 0.025 4.62800 0.00284 2.87494 1233.96 1205.44 1.14035E+03 1.16733E+03 0.020 0.020 4.63100 0.03599 2.87213 1228.83 1200.43 9.05090E+01 9.26499E+01 0.251 0.256 4.68800 0.00938 2.81463 1127.45 1101.55 3.78490E+02 3.87390E+02 0.060 0.061 4.70300 0.01517 2.79959 1102.05 1076.78 2.39492E+02 2.45112E+02 0.095 0.097 4.78400 0.00317 2.71946 974.255 952.119 1.29597E+03 1.32610E+03 0.018 0.018 4.86000 0.33212 2.64278 863.180 843.718 1.39636E+01 1.42857E+01 1.629 1.662 4.87900 0.15890 2.62366 837.107 818.264 3.00956E+01 3.07887E+01 0.756 0.771 4.98800 0.04141 2.51538 700.916 685.342 1.37918E+02 1.41052E+02 0.165 0.168 4.99400 0.00028 2.50876 693.199 677.809 2.02785E+04 2.07390E+04 0.001 0.001 5.02400 0.00000 2.47918 659.521 644.946 2.18678E+06 2.23620E+06 0.000 0.000 5.02400 0.00000 2.47907 659.398 644.827 3.04674E+06 3.11559E+06 0.000 0.000 5.07300 0.00072 2.42998 606.361 593.032 9.17207E+03 9.37823E+03 0.002 0.003 5.07800 0.06105 2.41548 601.620 588.399 1.08997E+02 1.11446E+02 0.209 0.213 5.08800 0.00814 2.41543 591.359 578.371 8.31303E+02 8.49970E+02 0.027 0.028 5.14500 0.00755 2.35801 534.741 523.045 9.90972E+02 1.01313E+03 0.023 0.023 5.18900 0.00337 2.31408 494.418 483.653 2.40044E+03 2.45387E+03 0.009 0.010 5.22000 0.02056 2.28304 467.396 457.267 4.16606E+02 4.25834E+02 0.055 0.056 5.24100 0.01309 2.26217 449.896 440.172 6.79596E+02 6.94608E+02 0.033 0.034 5.31000 0.00883 2.19284 395.410 386.919 1.14639E+03 1.17155E+03 0.020 0.020 5.32100 0.00091 2.18167 387.143 378.840 1.14066E+04 1.16566E+04 0.002 0.002 5.33200 0.00363 2.17111 379.456 371.325 2.90418E+03 2.96777E+03 0.008 0.008 5.38200 0.19989 2.12061 344.315 336.988 5.81626E+01 5.94271E+01 0.391 0.399 5.42200 0.29697 2.08095 318.556 311.801 4.23152E+01 4.32320E+01 0.538 0.549 5.43600 0.00100 2.06672 309.690 303.131 1.28840E+04 1.31628E+04 0.002 0.002 5.44100 0.01497 2.06191 306.737 300.243 8.71971E+02 8.90832E+02 0.026 0.027 5.47800 0.02798 2.02462 284.592 278.578 5.02652E+02 5.13504E+02 0.045 0.046 5.51600 0.00603 1.98731 263.713 258.144 2.51817E+03 2.57250E+03 0.009 0.009 5.58100 0.00030 1.92248 230.309 225.470 5.86286E+04 5.98869E+04 0.000 0.000 5.58200 0.00028 1.92101 229.593 224.770 6.27505E+04 6.40971E+04 0.000 0.000 5.68100 0.00107 1.82168 185.048 181.209 2.02077E+04 2.06358E+04 0.001 0.001 5.68800 0.00137 1.81513 182.369 178.592 1.60203E+04 1.63591E+04 0.001 0.001 5.77800 0.00050 1.72493 148.469 145.430 5.40763E+04 5.52065E+04 0.000 0.000 5.83100 0.34429 1.67201 131.012 128.381 8.87476E+01 9.05664E+01 0.256 0.262 6.01400 0.87770 1.48870 82.5496 80.9479 5.52508E+01 5.63440E+01 0.412 0.421 6.03600 0.00558 1.46719 77.9438 76.4297 9.19758E+03 9.37979E+03 0.002 0.003 6.08500 0.00058 1.41812 68.1847 66.8508 1.01248E+05 1.03268E+05 0.000 0.000 6.21900 0.65507 1.28368 46.2444 45.3545 1.32146E+02 1.34739E+02 0.172 0.176 6.31900 0.15270 1.18405 33.8740 33.2233 7.73910E+02 6.90755E+06 0.029 0.030 6.33400 0.00002 1.16928 32.2838 31.6656 6.77527E+06 6.90755E+06 0.000 0.000 6.42900 0.01233 1.07429 23.3854 22.9594 1.38889E+04 1.41466E+04 0.002 0.002 6.51300 0.01217 0.98992 17.1872 16.8828 1.91431E+04 1.94883E+04 0.001 0.001 6.51600 0.00006 0.98675 16.9821 16.6819 3.95940E+06 4.03065E+06 0.000 0.000 6.57300 0.00003 0.93005 13.6192 13.3789 9.25172E+06 9.41784E+06 0.000 0.000 6.58400 0.00331 0.91930 13.0440 12.8128 9.25986E+04 9.42691E+04 0.000 0.000 6.70900 0.00618 0.79391 7.61027 7.47817 8.50784E+04 8.65813E+04 0.000 0.000 6.72200 0.11568 0.78109 7.17285 7.04917 4.82458E+03 4.90923E+03 0.005 0.005 6.77000 0.01393 0.73306 5.70097 5.60592 5.04157E+04 5.12705E+04 0.000 0.000 6.89500 0.03451 0.60845 2.93440 2.88738 3.95262E+04 4.01699E+04 0.001 0.001 7.08500 0.00065 0.41782 0.80160 0.78904 7.62566E+06 7.74711E+06 0.000 0.000 7.10800 0.28661 0.39513 0.66388 0.65345 2.10383E+04 2.13742E+04 0.000 0.001 7.25000 0.05443 0.25270 0.15179 0.14949 4.84551E+05 4.92007E+05 0.000 0.000 7.30300 0.00180 0.19970 7.12037E-02 7.01109E-02 3.12973E+07 3.17851E+07 0.000 0.000 7.34900 0.20453 0.15433 3.14666E-02 3.09831E-03 6.21998E+05 6.31705E+05 0.000 0.000 7.43700 0.00053 6.55474E-02 2.22245E-03 2.19039E-03 3.40802E+09 3.45789E+09 0.000 0.000 7.50100 0.00000 2.44828E-03 1.11208E-07 1.39749E-07 1.78361E+18 1.41935E+18 0.000 0.000 0.00700 0.00023 1.10500 64.4753 63.0324 2.69504E+05 2.75673E+05 3.206 3.201 0.04300 0.00018 1.06233 57.1811 55.9198 3.98034E+05 4.07012E+05 2.170 2.168 0.04800 0.00034 1.05678 56.0922 54.8558 2.12257E+05 2.17040E+05 4.070 4.066 0.08500 0.00021 1.01958 49.1965 48.1182 3.85716E+05 3.94359E+05 2.240 2.238 0.16100 0.00075 0.94396 37.1767 36.3803 1.42898E+05 1.46027E+05 6.046 6.043 0.16100 0.00142 0.94376 37.1486 36.3528 7.57971E+04 7.74564E+04 11.39 11.39 0.17200 0.00001 0.93269 35.5966 34.8310 9.15658E+06 9.35783E+06 0.094 0.094 0.17500 0.00053 0.93033 35.2726 34.5135 2.13186E+05 2.17876E+05 4.052 4.050 0.19900 0.00037 0.90628 32.0940 31.3982 3.39245E+05 3.46763E+05 2.547 2.545 0.22900 0.00042 0.87600 28.4051 27.7849 3.34891E+05 3.42366E+05 2.580 2.578 0.27400 0.00278 0.83105 23.5294 23.0191 6.12332E+04 6.25907E+04 14.10 14.09 0.32400 0.00006 0.78073 18.8524 18.4532 3.53330E+06 3.60975E+06 0.245 0.244 0.32500 0.00058 0.77950 18.7474 18.3506 3.70394E+05 3.78405E+05 2.332 2.332 0.33100 0.00025 0.77444 18.3211 17.9336 8.65513E+05 8.84212E+05 0.998 0.998 0.33300 0.00003 0.77208 18.1243 17.7411 7.84943E+06 8.01899E+06 0.110 0.110 0.33400 0.00036 0.77115 18.0476 17.6660 6.17153E+05 6.30484E+05 1.400 1.400 0.33500 0.00000 0.77037 17.9829 17.6027 8.69619E+08 8.88405E+08 0.001 0.001 0.34200 0.00008 0.76308 17.3901 17.0228 2.78870E+06 2.84887E+06 0.310 0.310 0.35000 0.00121 0.75540 16.7806 16.4280 1.97513E+05 2.01752E+05 4.374 4.374 0.36800 0.00002 0.73716 15.3978 15.0799 1.05188E+07 1.07405E+07 0.082 0.082 0.37400 0.00000 0.73059 14.9209 14.6152 1.47159E+08 1.50237E+08 0.006 0.006 0.39700 0.00000 0.70821 13.3799 13.1094 2.66595E+08 2.72097E+08 0.003 0.003 0.40200 0.00000 0.70320 13.0521 12.7882 3.55337E+09 3.62670E+09 0.000 0.000 0.45200 0.00003 0.65259 10.0639 9.85865 1.33142E+07 1.35914E+07 0.065 0.065 0.47600 0.00005 0.62948 8.88352 8.70489 9.68863E+06 9.88744E+06 0.089 0.089 0.48800 0.00349 0.61732 8.30575 8.13928 1.38175E+05 1.41001E+05 6.252 6.259 0.51100 0.00796 0.59432 7.29006 7.14343 6.90199E+04 7.04367E+04 12.51 12.529 0.54600 0.00061 0.55945 5.92805 5.80563 1.10052E+06 1.12373E+06 0.785 0.785 0.55500 0.00137 0.54988 5.58944 5.47456 5.23679E+05 5.34669E+05 1.650 1.651 0.60100 0.00004 0.50426 4.16753 4.08228 2.47689E+07 2.52862E+07 0.035 0.035 0.60200 0.00299 0.50322 4.13846 4.05387 3.23348E+05 3.30095E+05 2.672 2.673 0.64600 0.00150 0.45851 3.02789 2.97763 8.84107E+05 9.02058E+05 0.977 0.978 0.65000 0.00629 0.45524 2.95622 2.89755 2.15336E+05 2.19696E+05 4.012 4.017 0.69600 0.00589 0.40853 2.06216 2.02139 3.29366E+05 3.36009E+05 2.623 2.626 0.72000 0.00739 0.38524 1.69907 1.66403 3.18926E+05 3.25589E+05 2.709 2.710 0.74100 0.00000 0.36417 1.41219 1.38322 1.21197E+09 1.23735E+09 0.001 0.001 0.74700 0.00029 0.35817 1.33734 1.31027 1.02657E+07 1.04794E+07 0.084 0.084 0.76400 0.00047 0.34126 1.14121 1.11921 7.42169E+06 7.57038E+06 0.116 0.117 0.78500 0.00071 0.31972 0.92353 0.90484 6.12158E+06 6.24805E+06 0.141 0.141 0.80600 0.00082 0.29870 0.74084 0.72553 6.59923E+06 6.73842E+06 0.131 0.131 0.81200 0.00282 0.29257 0.69283 0.67836 2.04836E+06 2.09207E+06 0.422 0.422 0.82100 0.00469 0.28442 0.63250 0.61922 1.34848E+06 1.37739E+06 0.641 0.641 0.85100 0.01661 0.25449 0.44274 0.43351 5.44359E+05 5.55942E+05 1.587 1.587 0.91700 0.00059 0.18846 0.17078 0.16689 3.99157E+07 4.08462E+07 0.022 0.022 0.92400 0.00261 0.18069 0.14965 0.14621 1.02513E+07 1.04925E+07 0.084 0.084 0.96800 0.00007 0.13735 6.3563E-02 6.1968E-02 9.47034E+08 9.71424E+08 0.001 0.001 0.96800 0.00093 0.13673 6.2679E-02 6.1101E-02 6.89166E+07 7.06975E+07 0.013 0.012 1.00300 0.00039 1.0210E-01 2.5429E-02 2.4708E-02 4.00310E+08 4.11999E+08 0.002 0.002