NEW APPROACH FOR THE DETERMINATION OF
THE NUCLEAR LEVEL DENSITY PARAMETERS*
Proceedings of the International Conference on the
Physics of Nuclear Science and Technology
(Oct. 5-8, 1998, Long Island, NY) Vol. 1, page 784 		To NNDC Home To NNDC
Said F. Mughabghab Charles L. Dunford
Brookhaven National LaboratoryBrookhaven National Laboratory
Building 197DBuilding 197D
Upton, NY 11973Upton, NY 11973
(516) 344-5085(516) 344-2804
e-mail: mugabgab@bnl.gov e-mail: dunford@bnl.gov

The nuclear level density parameters of the stable nuclides have been determined from the neutron resonance data on the basis of new values for the spin dispersion parameter. The latter parameter is deduced from the spin dependent average level spacings of s-wave neutron resonances of odd target nuclides. In addition, the temperature dependence of the level density parameter is studied and an analytical relation for it is presented.

The tabular information presented in this paper is given below. The complete paper is available as a PostScript or PDF file.

Table 1. The level density parameters as determined in the present analysis. The binding energy, Bn, and the pairing energy, Pair, are in MeV units, while the level density parameter is in MeV-1 units.
Z A I Bn Pair a
9
11
12
12
13
14
15
16
16
16
17
17
18
19
19
20
20
20
20
20
21
22
22
22
22
22
23
23
24
24
24
24
25
26
26
26
26
27
28
28
28
28
28
28
29
29
30
30
30
30
31
31
32
32
32
32
32
33
34
34
34
34
34
34
35
35
37
37
38
38
38
38
39
40
40
40
40
40
41
42
42
42
42
42
42
42
43
44
44
44
44
45
46
46
46
46
46
46
47
47
48
48
48
48
48
48
48
48
49
49
50
50
50
50
50
50
50
50
50
50
51
51
52
52
52
52
52
52
52
53
 20
24
25
26
27
29
32
33
34
35
36
38
41
40
42
41
43
44
45
49
46
47
48
49
50
51
50
52
51
53
54
55
56
55
57
58
59
60
59
60
61
62
63
65
64
66
65
67
69
71
70
72
71
73
74
75
77
76
75
77
78
79
81
83
80
82
86
88
85
87
88
89
90
91
92
93
95
97
94
93
95
96
97
98
99
101
100
100
102
103
105
104
105
106
107
108
109
111
108
110
107
109
111
112
113
114
115
117
114
116
113
115
116
117
118
119
120
121
123
125
122
124
123
124
125
126
127
129
131
128
 0.5
1.5
0.5
2.5
2.5
0.0
0.5
0.0
1.5
0.0
1.5
1.5
0.0
1.5
1.5
0.0
0.0
3.5
0.0
0.0
3.5
0.0
2.5
0.0
3.5
0.0
6.0
3.5
0.0
0.0
1.5
0.0
2.5
0.0
0.0
0.5
0.0
3.5
0.0
1.5
0.0
1.5
0.0
0.0
1.5
1.5
0.0
0.0
0.0
0.0
1.5
1.5
0.0
0.0
4.5
0.0
0.0
1.5
0.0
0.0
0.5
0.0
0.0
0.0
1.5
1.5
2.5
1.5
0.0
0.0
4.5
0.0
0.5
0.0
2.5
0.0
0.0
0.0
4.5
0.0
0.0
2.5
0.0
2.5
0.0
0.0
4.5
2.5
2.5
0.0
0.0
0.5
0.0
2.5
0.0
2.5
0.0
0.0
0.5
0.5
0.0
0.0
0.0
0.5
0.0
0.5
0.0
0.0
4.5
4.5
0.0
0.0
0.5
0.0
0.5
0.0
0.5
0.0
0.0
0.0
2.5
3.5
0.0
0.5
0.0
0.5
0.0
0.0
0.0
2.5
 6.601
6.959
7.332
11.093
7.725
8.474
7.937
8.646
11.417
6.986
8.580
6.108
6.099
7.801
7.535
8.363
7.933
11.132
7.415
5.142
8.761
8.880
11.628
8.143
10.945
6.372
11.052
7.311
9.262
7.940
9.720
6.246
7.270
9.298
7.646
10.043
6.587
7.492
9.000
11.389
7.820
10.598
6.839
6.098
7.916
7.067
7.979
7.052
6.482
5.835
7.655
6.521
7.415
6.780
10.200
6.505
6.071
7.328
8.028
7.418
10.497
6.961
6.701
5.896
7.892
7.593
8.650
6.078
8.524
8.428
11.113
6.364
6.857
7.200
8.635
6.732
6.471
5.581
7.230
8.067
7.375
9.154
6.821
8.642
5.926
5.398
6.764
9.673
9.220
6.232
5.908
6.999
7.094
9.562
6.530
9.223
6.154
5.760
7.269
6.806
7.928
7.360
6.976
9.395
6.544
9.041
6.145
5.770
7,275
6.784
7.744
7.546
9.562
6.944
9.327
6.485
9.106
6.176
5.948
5.732
6.806
6.467
6.933
9.423
6.578
9.120
6.290
6.085
5.924
6.826
 0.00
0.00
2.46
4.26
0.00
2.09
0.00
1.62
3.48
1.62
0.00
0.00
1.62
0.00
0.00
1.83
1.83
3.27
1.83
1.83
0.00
1.73
3.27
1.73
3.03
1.73
1.30
0.00
1.35
1.35
2.62
1.35
0.00
1.54
1.54
2.83
1.54
0.00
1.20
2.49
1.20
2.61
1.20
1.20
0.00
0.00
1.06
1.06
1.06
1.06
0.00
0.00
1.36
1.36
3.24
1.36
1.36
0.00
1.43
1.43
2.90
1.43
1.43
1.43
0.00
0.00
0.00
0.00
1.24
1.24
2.17
1.24
0.00
1.20
1.92
1.20
1.20
1.20
0.00
1.28
1.28
2.40
1.28
2.57
1.28
1.28
0.00
2.57
2.22
1.28
1.28
0.00
1.35
2.59
1.35
2.50
1.35
1.35
0.00
0.00
1.36
1.36
1.36
2.50
1.36
2.68
1.36
1.36
0.00
0.00
1.19
1.19
2.51
1.19
2.34
1.19
2.43
1.19
1.19
1.19
0.00
0.00
1.14
2.57
1.14
2.23
1.14
1.14
1.14
0.00
 3.79
3.72
3.03
4.02
3.83
3.20
3.81
3.50
3.66
4.27
4.25
5.94
6.22
5.21
5.62
5.20
6.34
6.64
6.66
4.40
6.82
6.05
6.20
6.27
6.34
6.14
6.97
6.40
5.35
5.58
5.47
7.10
7.10
5.22
6.17
5.62
7.15
7.59
5.44
5.81
6.51
6.33
6.91
7.39
8.31
8.52
8.39
8.74
9.50
9.94
9.64
11.25
11.49
10.92
12.09
10.52
10.93
11.79
11.76
11.65
10.37
11.07
11.44
10.95
11.82
10.98
9.17
9.34
11.10
9.12
8.41
7.59
8.33
8.06
8.68
10.01
10.63
10.54
12.01
8.85
10.38
10.80
12.06
12.45
14.22
16.49
15.11
12.48
13.14
15.47
16.97
14.69
14.02
14.02
15.36
14.28
16.69
16.67
14.85
16.15
13.92
14.97
15.02
13.60
15.97
14.28
16.37
17.19
15.29
15.95
13.43
13.06
12.48
13.43
12.61
13.48
12.54
12.69
12.88
12.83
15.51
14.94
15.41
14.13
15.13
12.80
13.61
13.17
12.12
15.28
Z A I Bn Pair a
53
54
54
54
54
54
54
55
55
56
56
56
56
56
56
57
57
58
58
59
60
60
60
60
60
60
60
60
61
62
62
62
62
62
62
63
63
64
64
64
64
64
64
64
65
66
66
66
66
66
66
67
68
68
68
68
68
68
69
70
70
70
70
70
70
71
71
72
72
72
72
72
72
73
73
74
74
74
74
74
75
75
76
77
77
78
78
78
79
80
80
80
80
81
81
82
82
82
82
83
88
90
90
90
91
91
92
92
92
92
92
92
93
94
94
94
94
94
95
95
95
96
96
96
96
96
96
96
97
98
 130
125
129
130
131
132
133
134
135
131
135
136
137
138
139
139
140
137
141
142
143
144
145
146
147
148
149
151
148
148
150
151
152
153
155
152
154
153
155
156
157
158
159
161
160
157
161
162
163
164
165
166
163
165
167
168
169
171
170
171
172
173
174
175
177
176
177
175
177
178
179
180
181
182
183
181
183
184
185
187
186
188
190
192
194
193
195
196
198
199
200
201
202
204
206
205
207
208
209
210
227
230
231
233
232
234
233
234
235
236
237
239
238
239
240
241
242
243
242
243
244
243
244
245
246
247
248
249
250
250
 3.5
0.0
0.0
0.5
0.0
1.5
0.0
3.5
4.0
0.0
0.0
1.5
0.0
1.5
0.0
5.0
3.5
0.0
0.0
2.5
0.0
3.5
0.0
3.5
0.0
2.5
0.0
0.0
3.5
3.5
3.5
0.0
3.5
0.0
0.0
2.5
2.5
0.0
0.0
1.5
0.0
1.5
0.0
0.0
1.5
0.0
0.0
2.5
0.0
2.5
0.0
3.5
0.0
0.0
0.0
3.5
0.0
0.0
0.5
0.0
0.5
0.0
2.5
0.0
0.0
3.5
7.0
0.0
0.0
3.5
0.0
4.5
0.0
3.5
3.0
0.0
0.0
0.5
0.0
0.0
2.5
2.5
1.5
1.5
1.5
0.0
0.0
0.5
1.5
0.5
0.5
0.0
1.5
0.5
0.5
0.0
0.0
0.5
0.0
4.5
0.5
2.5
0.0
0.0
1.5
1.5
0.0
2.5
0.0
3.5
0.0
0.0
2.5
0.0
0.5
0.0
2.5
0.0
2.5
1.0
2.5
0.0
2.5
0.0
0.5
0.0
4.5
0.0
3.5
4.5
 6.463
7.730
6.908
9.254
6.612
8.936
6.448
6.891
8.828
7.494
6.975
9.107
6.898
8.611
4.723
8.778
5.161
7.490
5.429
5.843
6.123
7.817
5.756
7.565
5.292
7.334
5.093
5.334
5.902
8.140
7.985
5.596
8.258
5.867
5.814
6.305
6.435
6.407
6.438
8.536
6.360
7.937
5.942
5.635
6.375
6.975
6.454
8.196
6.271
7.656
5.715
6.243
6.905
6.650
6.436
7.771
6.003
5.681
6.593
6.414
8.020
6.367
7.465
5.822
5.566
6.293
7.072
6.790
6.383
7.266
6.099
7.388
5.694
6.063
6.934
6.685
6.191
7.411
5.754
5.466
6.179
5.872
7.793
6.199
6.066
6.247
6.169
7.921
6.513
6.665
8.028
6.230
7.755
6.655
6.503
6.734
6.740
7.368
3.936
4.604
4.552
6.791
5.120
4.786
5.561
5.209
5.753
6.843
5.297
6.545
5.124
4.806
5.488
5.647
6.534
5.240
6.309
5.037
5.541
6.363
5.362
5.695
6.799
5.519
6.456
5.157
6.212
4.713
4.970
6.623
 0.00
1.12
1.12
2.32
1.12
2.16
1.12
0.00
0.00
1.15
1.15
1.85
1.15
2.00
1.15
0.85
0.00
1.17
1.17
0.00
1.18
1.94
1.18
2.10
1.18
2.17
1.18
1.18
0.00
2.14
2.21
1.22
2.32
1.22
1.22
0.00
0.00
0.97
0.97
1.89
0.97
1.70
0.97
0.97
0.00
0.92
0.92
1.62
0.92
1.79
0.92
0.00
0.62
0.62
0.62
1.23
0.62
0.62
0.00
0.68
1.37
0.68
1.23
0.68
0.68
0.00
0.40
0.64
0.64
1.04
0.64
1.37
0.64
0.00
0.58
0.72
0.72
1.30
0.72
0.72
0.00
0.00
1.88
0.00
0.00
0.71
0.71
1.50
0.00
0.87
1.69
0.87
1.58
0.00
0.00
0.83
0.83
1.21
0.83
0.00
0.89
1.38
0.78
0.78
0.00
0.00
0.69
1.26
0.69
1.18
0.69
0.69
0.00
0.61
1.04
0.61
1.11
0.61
0.00
0.50
0.00
0.72
1.22
0.72
1.11
0.72
1.11
0.72
0.00
1.16
 15.12
14.94
14.04
13.28
14.73
10.58
12.64
14.20
12.71
15.72
13.78
11.45
10.42
10.00
12.27
12.71
13.65
14.61
12.35
13.73
13.49
14.44
15.87
16.98
18.11
20.96
20.49
19.79
19.09
17.50
19.74
21.76
21.43
20.60
18.82
22.12
20.99
21.18
20.83
18.38
18.79
17.40
18.47
17.68
19.29
21.18
19.48
17.93
18.40
17.42
17.31
18.80
19.53
18.93
17.75
16.87
17.37
16.88
18.87
19.10
16.92
17.40
16.40
16.93
17.34
19.97
20.55
18.83
19.16
18.69
18.38
18.95
18.22
19.20
18.37
19.15
17.90
17.05
18.54
19.13
19.84
20.40
18.91
20.82
19.36
19.78
17.70
16.07
16.08
15.76
12.59
12.92
12.29
10.95
7.10
9.68
5.57
4.12
4.16
10.25
27.42
25.15
27.80
27.71
27.02
28.26
25.83
24.10
25.55
25.00
26.12
26.70
26.17
24.41
23.42
25.64
24.35
25.68
26.25
26.16
26.72
24.09
23.61
24.90
24.26
24.16
24.66
26.32
27.12
23.76
* This research was carried out under the auspices of the U.S. Department of Energy, Contract No. DE-AC02-98CH10886, and the Research Incentive Fund of Ohio University.