Single particle properties of heavy and superheavy nuclei. Aleksander Parkhomenko.

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

ZXNA

Z-2XN-2A-4 γ

Qth

Qt,th

Ep

Ed

α

g.s.

g.s.

α

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

ββ33= = ββ44= = ββ55= = ββ66= = ββ77= = ββ88=0=0..

ββ22= 0= 0

ββ33= = ββ44= = ββ55= = ββ66= = ββ77= = ββ88=0=0..

ββ22= 0.2= 0.2

ββ33= = ββ44= = ββ55= = ββ66= = ββ77= = ββ88=0=0..

ββ22= 0.3= 0.3

ββ33= = ββ44= = ββ55= = ββ66= = ββ77= = ββ88=0=0..

ββ22= 0.4= 0.4

ββ33= = ββ55= = ββ66= = ββ77= = ββ88=0=0..

ββ22= 0.4= 0.4

ββ44= 0.1= 0.1

ββ33= = ββ55= = ββ66= = ββ77= = ββ88=0=0..

ββ22= 0.4= 0.4

ββ44= 0.2= 0.2

ββ33= = ββ55= = ββ77= = ββ88=0=0..

ββ22= 0.4= 0.4

ββ44= 0.2= 0.2

ββ66= 0.1= 0.1

ββ33= = ββ55= = ββ77=0=0..

ββ22= 0.4= 0.4

ββ44= 0.2= 0.2

ββ66= 0.1= 0.1

ββ8 8 =0.1=0.1

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

ResultsResults

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


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


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.

Single particle properties of heavy and superheavy nuclei. Aleksander Parkhomenko.

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