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Single particle Single particle properties of heavy properties of heavy
and superheavy and superheavy nuclei.nuclei.AleksandAleksandeer Parkhomenkor Parkhomenko
PlanPlan
IntoductionIntoduction MetodMetod of calculations of calculations Phenomenological formula for α-Phenomenological formula for α-
decay half-livesdecay half-lives ResultsResults a) a) One-quasiparticle excitationsOne-quasiparticle excitations b) b) SystematicSystematic c) c) αα--decaydecay chains chains ConclusionsConclusions
3Li3Li
11Na11Na
19K19K
37Rb37Rb
1H
55Cs55Cs
87Fr87Fr
4Be4Be
12Mg12Mg
38Sr38Sr
20Ca
56Ba56Ba
88Ra88Ra
39Y39Y
21Sc
57La*57La*
89Ac+89Ac+
40Zr40Zr
22Ti
72Hf72Hf
41Nb41Nb
23V
73Ta73Ta
42Mo42Mo
24Cr
74W74W
43Tc43Tc
25Mn
75Re75Re
44Ru44Ru
26Fe
76Os76Os
45Rh45Rh
27Co
77Ir77Ir
46Pd46Pd
28Ni
78Pt78Pt
47Ag47Ag
29Cu
79Au79Au
48Cd48Cd
30Zn
80Hg80Hg
5B5B
31Ga31Ga
13Al
49In49In
81Tl81Tl
6C6C
32Ge32Ge
14Si
50Sn50Sn
82Pb82Pb
7N7N
33As33As
15P
51Sb51Sb
83Bi83Bi
8O8O
34Se34Se
16S
52Te52Te
84Po84Po
9F9F
35Br35Br
17Cl
53I53I
85At85At
10Ne10Ne
18Ar18Ar
36Kr36Kr
54Xe54Xe
2He
86Rn86Rn
58Ce58Ce59Pr59Pr
60Nd60Nd61Pm61Pm
62Sm62Sm63Eu63Eu
64Gd64Gd65Tb65Tb
66Dy66Dy67Ho67Ho
90Th90Th91Pa91Pa
92U92U 93Np93Np94Pu94Pu
95Am95Am96Cm96Cm
97Bk97Bk98Cf98Cf
99Es99Es
104104RfRf104104RfRf105105DbDb105105DbDb
106106SgSg106106SgSg107107BhBh107107BhBh
108108HsHs108108HsHs109109MtMt109109MtMt
110110DsDs110110DsDs 111111RgRg111111RgRg112112CnCn112112CnCn
113113113113113113113113114114114114114114114114
115115115115115115115115116116116116116116116116
118118118118118118118118
100Fm100Fm101Md101Md
102No102No103Lr103Lr
68Er68Er69Tm69Tm
70Yb70Yb71Lu71Lu
++ActinidesActinides
**LanthanidesLanthanides
MENDELEYEV PERIODIC TABLE OF THE ELEMENTSMENDELEYEV PERIODIC TABLE OF THE ELEMENTS
TransactinidesTransactinides
89Ac+
105105DbDb105105DbDb
Method of the Method of the calculationscalculations
Yukawa-plus-exponetial Yukawa-plus-exponetial modelmodel
Strutinski shell correctionStrutinski shell correction
BCS pairing BCS pairing approximationapproximation
Woods-Saxon potentialWoods-Saxon potential
Macroscopic Microscopic
The shape of a nucleusThe shape of a nucleus
),(1)(, 0 YCRR
Axial symmetric nuclei:
0
0
8
200 )(1)(
YCRR
One-quasiparticle One-quasiparticle excitationsexcitations
-8.0
λλnn
249249CfCf151151
-6.0
E MeVE MeV
One-quasiparticle One-quasiparticle excitationsexcitations
λλnn
249249CfCf151151
-6.0
-8.0
E MeVE MeV .22 eE .22 eE
Phenomenological formula for α-Phenomenological formula for α-decay half-livesdecay half-lives
loglog1010TTαα(Z,N) = a Z (Q(Z,N) = a Z (Qαα ) )-1/2-1/2 + b Z + c + b Z + cloglog1010TTαα(Z,N) = a Z (Q(Z,N) = a Z (Qαα ) )-1/2-1/2 + b Z + c + b Z + c
loglog1010TTαα(Z,N) = a Z (Q(Z,N) = a Z (Qαα - E - Epp))-1/2-1/2 + b Z + c + b Z + cloglog1010TTαα(Z,N) = a Z (Q(Z,N) = a Z (Qαα - E - Epp))-1/2-1/2 + b Z + c + b Z + c
loglog1010TTαα(Z,N) = (a Z + d) (Q(Z,N) = (a Z + d) (Qαα ) )-1/2-1/2 + b Z + c + b Z + cloglog1010TTαα(Z,N) = (a Z + d) (Q(Z,N) = (a Z + d) (Qαα ) )-1/2-1/2 + b Z + c + b Z + c
Viola-Seaborg formula Viola-Seaborg formula ::
for e-efor e-e
for o-efor o-e
loglog1010TTαα(Z,N) = a Z (Q(Z,N) = a Z (Qαα - E - Enn))-1/2-1/2 + b Z + c + b Z + cloglog1010TTαα(Z,N) = a Z (Q(Z,N) = a Z (Qαα - E - Enn))-1/2-1/2 + b Z + c + b Z + c for e-ofor e-o
loglog1010TTαα(Z,N) = a Z (Q(Z,N) = a Z (Qαα - E - Enpnp))-1/2-1/2 + b Z + c + b Z + cloglog1010TTαα(Z,N) = a Z (Q(Z,N) = a Z (Qαα - E - Enpnp))-1/2-1/2 + b Z + c + b Z + c for o-ofor o-o
EEnp np = E = Enn + E + Epp EEnp np = E = Enn + E + Epp
NucleiNuclei nn rmsrms npnp
e-ee-e 6161 0.10.133
0.10.166
1.1.33
33 00
o-eo-e 4545 0.30.322
0.40.411
2.2.11
11 0.10.11313
e-oe-o 5656 0.50.500
0.60.600
3.3.22
11 0.10.17070
o-oo-o 4040 0.60.600
0.70.722
4.4.00
00 0.20.28383
expexp lg)(lg TQT th expexp lg)(lg TQT th
Z = 84Z = 84 -110 -110 N = 128N = 128 -171-171
ff EE
10f
10f
NucleiNuclei nn rmsrms
e-ee-e 6767 0.710.71 0.930.93 5.15.1
o-eo-e 4848 1.081.08 1.441.44 12.012.0
e-oe-o 6868 1.201.20 1.581.58 15.815.8
o-oo-o 4343 1.261.26 1.571.57 18.018.0
Z = 84Z = 84 -110 -110 N = 128N = 128 -171-171 explg)(lg TQT thth
f
0,0
0,2
0,4
0,6
0,8
1,0
3-[521]
7+[633]
5+[642]
5-[523]
1+[400]1-[521]
3+[402]7-[514]
3-[521]
7+[633]
5+[642]
5-[523]
7-[514]
1+[400]
3-[521]
7+[633]
5-[523]
5+[642]
3+[402]1-[521]
2
+=0.272
min=0.242
-=0.21
1+[400]
3+[651]
1-[521]
245Bk
E
MeV
0,0
0,2
0,4
0,6
0,8
1,0
9-[734]
7+[624]
5+[622]
1+[620]
11-[725]
1-[501]
9-
5+
(1+)
9+
n=0.44 MeV
98
249Cf151
(7+) 1+ 7+
7+[613]3+[622]
7-[743]1+[631]
expth
E
(MeV
)
0,0
0,2
0,4
0,6
0,8
1,0
9-[734]
7+[624]
5+[622]
1+[620]
11-[725]
1-[501]
9-
5+
(1+)
9+
n=0.44 MeV
98
249Cf151
(7+) 1+ 7+
7+[613]3+[622]
7-[743]1+[631]
expth
E
(MeV
)
0,0
0,2
0,4
0,6
0,8
1,0
5-[523]
5+[642]3-[521]
7+[633]
1+[400]
3+[651]
3+[402]
5-
5+
3-
p=0.72 MeV 95
241Am146
(3+)(1-)(1+)
th exp
E
(MeV
)
0,0
0,2
0,4
0,6
0,8
1,0
5-[523]
5+[642]3-[521]
7+[633]
1+[400]
3+[651]
3+[402]
5-
5+
3-
p=0.72 MeV 95
241Am146
(3+)(1-)(1+)
th exp
E
(MeV
)
0,0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1,0
5+[642]
5-[523]
3-[521]
3+[651]
5+[642]
5-[523]
3-[521]
3+[651]
5+[642]
5-[523]
3-[521]
3+[651]
5+[642]
5-[523]
3-[521]
1+[400]
5+[642]
5-[523]
3+[651]
3-[521]
1+[400]
3+[402]
5+[642]
5-[523]
3+[651]
3-[521]
3+[402]
1+[640]
1-[530]
5+[642]5-[523]
1+[400]
3+[651]
3-[521]
3+[402]1+[640]
1-[530]
5-[523]
1+[400]
3+[651]
3-[521]
1+[640]
7+[633]1-[530]
11-[505]
1+[400]
3+[651]
3+[402]
NA
150243
148241
146239
144237
142235
140233
138231
136229
E
(MeV
)Np
5+[642]0,0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1,0
5+[642]
5-[523]
3-[521]
3+[651]
5+[642]
5-[523]
3-[521]
3+[651]
5+[642]
5-[523]
3-[521]
3+[651]
5+[642]
5-[523]
3-[521]
1+[400]
5+[642]
5-[523]
3+[651]
3-[521]
1+[400]
3+[402]
5+[642]
5-[523]
3+[651]
3-[521]
3+[402]
1+[640]
1-[530]
5+[642]5-[523]
1+[400]
3+[651]
3-[521]
3+[402]1+[640]
1-[530]
5-[523]
1+[400]
3+[651]
3-[521]
1+[640]
7+[633]1-[530]
11-[505]
1+[400]
3+[651]
3+[402]
NA
150243
148241
146239
144237
142235
140233
138231
136229
E
(MeV
)Np
5+[642]
0,0
0,2
0,4
0,6
0,8
1,0
5-[523]
5+[642]
3-[521]
7+[633]
3+[651]7-[514]
1+[400]
1-[521]
1-[530]
1+[651]3+[402]1+[640]9-[505]5-[512]
3-[532]
11-[505]
9+[624]
7-[503]9-[514]
11+[615]
1-[750]5+[402]13+[606]3+[642]1+[640]
1+[411]
7-[523]
3-[741]
1-[541]
1-[510]
3-[512]
3+[411]
5-[752]
7+[404]
5-[532]
3-[501]3+[631]5-[503]
5+[633]5+[413]
7-[743]1-[501]
3-[541]1+[420]
1+[631]
1-[530]
5+[622]
3+[422]
9-[734]
7+[624]
9+[404]
1-[770]
7+[413]
7+[613]
9+[604]1-[301]
11-[725]
1+[860]
9+[615]
1-[761]
3+[851]
13-[716]3-[301]5+[422]
1+[431]
11+[606]3-[761]1+[620]
15-[707]
3+[622]
5+[862]
3-[752]
1-[310]
3+[431]
3+[611]
5-[303]
5+[602]
5-[752]
7+[853]
1+[440]
1+[611]
3-[312]
5+[613]
1-[750]
5-[743]
7+[604]
9+[844]
7-[303]
1+[600]
7-[723]
5-[312]
3+[602]
1+[880]
1-[321]
11+[835]
1-[730]
9-[714]
7-[734]3-[961]
3-[321]
11-[705]1-[981]
1+[200]3+[871]
13+[826]
3-[981]
1+[871]
15+[817]
17+[808]1-[330]5-[972]
9-[725]
3+[202]3-[732]
5-[712]
5+[862]
1-[730]
3+[862]7-[963]11-[716]
7-[703]1+[860]
5+[202]
1+[211]13-[707]
3+[211]
3-[701]
7+[833]1-[721]5-[723]
9-[954]
1-[990]
5+[853]
3+[851]
1+[851]
7-[714]3-[712]
1-[701]
1+[220]
9+[824]
11-[945]
5-[703]
3-[981]
9-[705]
11+[815]
1+[*60]
13+[806]
1-[101]5+[822]
7+[844]
3+[*82]
1+[840]13-[936]
3-[101]1-[981]
5-[972]3+[842]
5+[*82]15-[927]7+[813]17-[918]1-[110]19-[909]3+[811]1-[970]1+[831]9+[804]7+[*73]7-[943]1+[**0]9+[835]3-[941]5+[833]5+[833]1+[800]3-[972]1-[961]3+[822]9+[*64]1+[000]3+[*91]9-[934]11+[826]7+[824]5-[932]1-[950]1+[811]13+[817]1+[*91]5-[963]11+[*55]3+[802]5+[813]11-[925]3-[952]15+[808]5+[*82]7+[804]13-[916]1-[*90]7-[923]9+[815]15-[907]3-[921]13+[*46]3-[**1]11+[806]1-[941]9-[914]1+[*80]7+[*53]5-[943]3+[*51]11-[905]5-[912]7-[954]5-[943]15+[*37]1-[910]1-[*70]7-[903]3-[932]7-[*83]17+[*28]9+[*44]19+[*19]5+[*42]3-[901]21+[*0*]1+[*40]3-[*61]3+[*82]7-[934]1-[901]9-[*74]5-[903]9-[945]11+[*35]1-[**1]7+[*33]5-[*72]1+[*71]9-[905]3+[*31]11-[*65]1-[921]3-[912]13+[*26]1+[**0]5+[*73]5-[923]9+[*24]3+[*62]7-[914]1+[*51]1-[**1]5+[*22]7-[*63]3-[*61]13-[*56]11-[936]9-[925]3+[**1]1+[*20]5+[*53]11-[916]7+[*64]15+[*17]13-[907]3+[*42]1+[*80]15-[*47]5+[*82]3-[*92]17+[*08]13-[927]9-[*54]7+[*64]1-[*90]5-[*52]15-[918]3+[*71]17-[909]7+[*93]17-[*38]9+[*55]11+[*15]1+[**1]9+[*84]19-[*29]11-[*45]21-[*1*]5-[*83]23-[*0*]1+[*31]5+[*33]3+[*22]1-[*50]7-[*43]3-[*81]7+[*13]11+[*46]13+[*06]11+[*75]9+[*55]13-[*36]7+[*13]5+[**2]13+[*66]15-[*27]3-[*72]1-[*61]3+[*11]9+[*04]7-[*74]1+[*60]17-[*18]7+[*53]3+[*51]9-[*34]1-[**0]5+[*13]1+[*11]5-[*63]19-[*09]11+[*46]3-[**1]13+[*17]15+[*57]5-[**2]9+[*64]9+[*15]11-[*25]11+[*06]15+[*08]9-[*65]5-[*52]17+[*48]7-[**3]11+[*55]7+[*04]5+[*02]13+[*37]13-[*16]5+[*42]1-[*50]3-[*52]3+[**2]7-[*54]3+[*02]1+[**0]1+[*00]15-[*07]13+[*46]7-[*23]7+[*73]15+[*28]9-[*94]11-[*56]17+[*19]19+[*0*]5+[*93]1+[*91]1-[*41]9-[*25]3-[*41]3+[*91]5-[*43]19+[*39]9+[*44]15+[*37]1-[*41]9-[*14]3-[**1]13-[*27]7+[*84]1-[*21]3+[*82]3-[*32]11-[*16]5-[*23]7-[*34]11-[*85]5+[*73]1+[*71]11-[*05]11+[*35]1-[**1]15-[*18]5-[*12]9+[*75]5+[*73]13-[*07]7-[*14]17-[*09]9-[*25]5-[*12]13+[*26]7+[*64]3-[*12]1-[*10]1+[*60]3+[*62]3-[**2]11+[*66]9-[*05]11-[*36]7-[*03]7-[*83]1-[**0]7+[*33]5-[**3]5-[*03]13-[*47]3-[*01]13+[*37]1+[**1]9+[*35]3+[**1]9+[*24]1-[*01]3-[**1]5+[*53]1-[**1]1+[*51]3+[**1]15-[*38]11+[*26]7-[*94]5+[*22]1+[*31]7+[*44]17-[*29]3+[*42]19-[*1*]1+[**1]3-[*92]21-[*0*]5+[*33]1-[*81]5-[*83]9-[*85]1+[*20]3+[*22]7+[*24]9+[*35]11+[*46]15+[*48]13+[*57]17+[*39]
5-[523]
5+[642]
3-[521]
7+[633]
3+[651]
1+[400]
5-[523]
5+[642]
3-[521]
7+[633]
1+[400]
3+[651]
5-[523]
5+[642]
3-[521]
7+[633]
1+[400]
3+[651]
5-[523]
5+[642]
3-[521]
7+[633]1+[400]
3+[651]
3+[402]
1+[640]
5+[642]
3-[521]
5-[523]
1+[400]
7+[633]3+[651]
3+[402]
1+[640]
1-[530]
5+[642]
1+[400]
3+[402]
5-[523]
1+[640]
1-[521]
1-[530]
5+[642]
1+[400]
7+[633]
5-[523]
3+[402]
11-[505]
1-[530]
7-[514]
1-[521]
11-[505]
3+[402]
1+[640]
3+[651]7+[633]
3-[521]
NA
154249
152247
150245
148243
146241
144239
142237
140235
E
MeV
Am
3-[521]0,0
0,2
0,4
0,6
0,8
1,0
5-[523]
5+[642]
3-[521]
7+[633]
3+[651]7-[514]
1+[400]
1-[521]
1-[530]
1+[651]3+[402]1+[640]9-[505]5-[512]
3-[532]
11-[505]
9+[624]
7-[503]9-[514]
11+[615]
1-[750]5+[402]13+[606]3+[642]1+[640]
1+[411]
7-[523]
3-[741]
1-[541]
1-[510]
3-[512]
3+[411]
5-[752]
7+[404]
5-[532]
3-[501]3+[631]5-[503]
5+[633]5+[413]
7-[743]1-[501]
3-[541]1+[420]
1+[631]
1-[530]
5+[622]
3+[422]
9-[734]
7+[624]
9+[404]
1-[770]
7+[413]
7+[613]
9+[604]1-[301]
11-[725]
1+[860]
9+[615]
1-[761]
3+[851]
13-[716]3-[301]5+[422]
1+[431]
11+[606]3-[761]1+[620]
15-[707]
3+[622]
5+[862]
3-[752]
1-[310]
3+[431]
3+[611]
5-[303]
5+[602]
5-[752]
7+[853]
1+[440]
1+[611]
3-[312]
5+[613]
1-[750]
5-[743]
7+[604]
9+[844]
7-[303]
1+[600]
7-[723]
5-[312]
3+[602]
1+[880]
1-[321]
11+[835]
1-[730]
9-[714]
7-[734]3-[961]
3-[321]
11-[705]1-[981]
1+[200]3+[871]
13+[826]
3-[981]
1+[871]
15+[817]
17+[808]1-[330]5-[972]
9-[725]
3+[202]3-[732]
5-[712]
5+[862]
1-[730]
3+[862]7-[963]11-[716]
7-[703]1+[860]
5+[202]
1+[211]13-[707]
3+[211]
3-[701]
7+[833]1-[721]5-[723]
9-[954]
1-[990]
5+[853]
3+[851]
1+[851]
7-[714]3-[712]
1-[701]
1+[220]
9+[824]
11-[945]
5-[703]
3-[981]
9-[705]
11+[815]
1+[*60]
13+[806]
1-[101]5+[822]
7+[844]
3+[*82]
1+[840]13-[936]
3-[101]1-[981]
5-[972]3+[842]
5+[*82]15-[927]7+[813]17-[918]1-[110]19-[909]3+[811]1-[970]1+[831]9+[804]7+[*73]7-[943]1+[**0]9+[835]3-[941]5+[833]5+[833]1+[800]3-[972]1-[961]3+[822]9+[*64]1+[000]3+[*91]9-[934]11+[826]7+[824]5-[932]1-[950]1+[811]13+[817]1+[*91]5-[963]11+[*55]3+[802]5+[813]11-[925]3-[952]15+[808]5+[*82]7+[804]13-[916]1-[*90]7-[923]9+[815]15-[907]3-[921]13+[*46]3-[**1]11+[806]1-[941]9-[914]1+[*80]7+[*53]5-[943]3+[*51]11-[905]5-[912]7-[954]5-[943]15+[*37]1-[910]1-[*70]7-[903]3-[932]7-[*83]17+[*28]9+[*44]19+[*19]5+[*42]3-[901]21+[*0*]1+[*40]3-[*61]3+[*82]7-[934]1-[901]9-[*74]5-[903]9-[945]11+[*35]1-[**1]7+[*33]5-[*72]1+[*71]9-[905]3+[*31]11-[*65]1-[921]3-[912]13+[*26]1+[**0]5+[*73]5-[923]9+[*24]3+[*62]7-[914]1+[*51]1-[**1]5+[*22]7-[*63]3-[*61]13-[*56]11-[936]9-[925]3+[**1]1+[*20]5+[*53]11-[916]7+[*64]15+[*17]13-[907]3+[*42]1+[*80]15-[*47]5+[*82]3-[*92]17+[*08]13-[927]9-[*54]7+[*64]1-[*90]5-[*52]15-[918]3+[*71]17-[909]7+[*93]17-[*38]9+[*55]11+[*15]1+[**1]9+[*84]19-[*29]11-[*45]21-[*1*]5-[*83]23-[*0*]1+[*31]5+[*33]3+[*22]1-[*50]7-[*43]3-[*81]7+[*13]11+[*46]13+[*06]11+[*75]9+[*55]13-[*36]7+[*13]5+[**2]13+[*66]15-[*27]3-[*72]1-[*61]3+[*11]9+[*04]7-[*74]1+[*60]17-[*18]7+[*53]3+[*51]9-[*34]1-[**0]5+[*13]1+[*11]5-[*63]19-[*09]11+[*46]3-[**1]13+[*17]15+[*57]5-[**2]9+[*64]9+[*15]11-[*25]11+[*06]15+[*08]9-[*65]5-[*52]17+[*48]7-[**3]11+[*55]7+[*04]5+[*02]13+[*37]13-[*16]5+[*42]1-[*50]3-[*52]3+[**2]7-[*54]3+[*02]1+[**0]1+[*00]15-[*07]13+[*46]7-[*23]7+[*73]15+[*28]9-[*94]11-[*56]17+[*19]19+[*0*]5+[*93]1+[*91]1-[*41]9-[*25]3-[*41]3+[*91]5-[*43]19+[*39]9+[*44]15+[*37]1-[*41]9-[*14]3-[**1]13-[*27]7+[*84]1-[*21]3+[*82]3-[*32]11-[*16]5-[*23]7-[*34]11-[*85]5+[*73]1+[*71]11-[*05]11+[*35]1-[**1]15-[*18]5-[*12]9+[*75]5+[*73]13-[*07]7-[*14]17-[*09]9-[*25]5-[*12]13+[*26]7+[*64]3-[*12]1-[*10]1+[*60]3+[*62]3-[**2]11+[*66]9-[*05]11-[*36]7-[*03]7-[*83]1-[**0]7+[*33]5-[**3]5-[*03]13-[*47]3-[*01]13+[*37]1+[**1]9+[*35]3+[**1]9+[*24]1-[*01]3-[**1]5+[*53]1-[**1]1+[*51]3+[**1]15-[*38]11+[*26]7-[*94]5+[*22]1+[*31]7+[*44]17-[*29]3+[*42]19-[*1*]1+[**1]3-[*92]21-[*0*]5+[*33]1-[*81]5-[*83]9-[*85]1+[*20]3+[*22]7+[*24]9+[*35]11+[*46]15+[*48]13+[*57]17+[*39]
5-[523]
5+[642]
3-[521]
7+[633]
3+[651]
1+[400]
5-[523]
5+[642]
3-[521]
7+[633]
1+[400]
3+[651]
5-[523]
5+[642]
3-[521]
7+[633]
1+[400]
3+[651]
5-[523]
5+[642]
3-[521]
7+[633]1+[400]
3+[651]
3+[402]
1+[640]
5+[642]
3-[521]
5-[523]
1+[400]
7+[633]3+[651]
3+[402]
1+[640]
1-[530]
5+[642]
1+[400]
3+[402]
5-[523]
1+[640]
1-[521]
1-[530]
5+[642]
1+[400]
7+[633]
5-[523]
3+[402]
11-[505]
1-[530]
7-[514]
1-[521]
11-[505]
3+[402]
1+[640]
3+[651]7+[633]
3-[521]
NA
154249
152247
150245
148243
146241
144239
142237
140235
E
MeV
Am
3-[521]
0,0
0,2
0,4
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
NA
158263
156261
154259
152257
150255
148253
E
MeV
Db
0,0
0,2
0,4
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
9+[624]
7-[514]
5-[512]
1-[521]
NA
158263
156261
154259
152257
150255
148253
E
MeV
Db
Z=93Z=93
N s.p. (teor) s.p. (eksp)
138 5[642] (5)
140 5[642] (5+)
142 5[642] 5+
144 5[642] 5+
146 5[642] 5+
148 5[642] (5+)
150 5[642] (5-)
Z=95Z=95
N s.p. (teor) s.p. (eksp)
142 5[523] 5(-)
144 5[523] (5)-
146 5[523] 5-
148 5[523] 5-
150 5[642] (5+)
152 3[521] (5)
Z=105
N s.p. (teor) s.p. (eksp)
152 9[624] (9+)
Theoretical and experimental spins in a ground stateTheoretical and experimental spins in a ground state
0,00
0,05
0,10
0,15
0,20
0,25
0,30
1+[620]
3+[622]
11-[725]
7+[613]
9-[734]
9+[615]
7+[624]
5+[622]
9+[615]
7+[613]
1+[620]
11-[725]
13-[716]
9+[615]
3+[622]
1+[620]
11-[725]
3+[622]
9+[615]
9-[734]
3+[622]
11-[725]
7+[613]
9+[615]
9-[734]
153 155 157 159 161102 104 106 108 110
9.08 9.21 9.75 11.07Qth
(MeV)=
3+[622]11-[725]
7+[613]
1+[620]7+[613]
1+[620]
E (
MeV
)271Ds267Hs263Sg259Rf255No
TTααexpexp TTαα
thth Q Q
ααexpexp
MeVMeV
Q Q ααthth
MeVMeV
Q Q ααtr tr
thth
MeVMeV271271DsDs 1.1 1.1
msms0.39 0.39 msms
10.910.911
11.011.077
11.011.066
267267HsHs 59 ms59 ms 0.25 s0.25 s 10.010.033
9.759.75 9.699.69
263263SgSg 0.31 s0.31 s 0.93 s0.93 s 9.399.39 9.219.21 9.259.25259259RfRf 3.1 s3.1 s 0.59 s0.59 s 9.039.03 9.089.08 9.089.08
-0,1
0,0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1,0
9+[615]
7+[613]
9+[615]
1+[620]3+[622]
11-[725]
7+[613]
9-[734]
9-[734]
7+[624]
5+[622]
1+[631]7-[743]
1-[501]
11.6310.369.749.218.19Qth
(MeV)=
9-[734]
7+[624]
5+[622]
11-[725]
7+[613]
1+[620]11-[725]
000
M1
E1
1+[631]
7-[743]3+[622]
1-[501]1+[620]
3+[622]
269Ds159110100
249Fm149 102
253No151 104
257Rf153 106
261Sg155 108
265Hs157
3+[622]
11-[725]
1+[620]
1+[620]7+[613]
11-[725]
3+[622]
9+[615]
E
(MeV
)
TTααexpexp TTαα
thth Q Q
ααexpexp
MeVMeV
Q Q ααthth
MeVMeV
Q Q ααtr tr
thth
MeVMeV269269DsDs 179 179
µµss40 40 µµss 11.211.2
8811.611.6
3311.511.5
11265265HsHs 701 701
µµss4.7 4.7 msms
10.310.355
10.610.688
10.310.366
261261SgSg 61 ms61 ms 96 ms96 ms 9.689.68 9.749.74 9.609.60257257RfRf 9.4 s9.4 s 64 s64 s 8.808.80 9.219.21 8.428.42253253NoNo 92.4 s92.4 s 90.8 s90.8 s 8.218.21 8.198.19 8.158.15
SummarySummary Quantum characteristics of most experimentally known ground
states of analyzed here odd-A nuclei (in 24 of 38 cases for proton-odd and in 23 for 34 cases for neutron-odd nuclei) are reproduced by the calculations.
Energy of known lowest nucleon excited states are reproduced by the applied model within an average accuracy of about 200 keV..
Sensitivity of single-particle excitation energies to changes of such a quantity as the equilibrium deformation of a nucleus is rather large.
A new, simple phenomenological formula for description of α-decay half-lives of heaviest e-e, o-e, e-o and o-o nuclei uses only 5 adjustable parameters. The formula allows one to describe Texp of 61 e-e nuclei roughly within a factor of 1.3, 45 o-e nuclei within a factor of 2.1, 55 e-o nuclei within a factor of 3.2 and 40 o-o nuclei within a factor of 4.0, on the average, when Q Q αα
expexp is taken. The accuracy of the mentioned above phenomenological formula
decreases by a factor of about 4, when theoretical values of Q Q ααthth
are used. It is found that description of the 269269Ds and Ds and 271271DsDs chains data is
rather good.