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