Single particle properties of heavy and superheavy nuclei'

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Single particle properties of heavy and
superheavy nuclei.

• Aleksander Parkhomenko

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Plan

• Intoduction
• Metod of calculations
• Phenomenological formula for a-decay half-lives
• Results
• a) One-quasiparticle excitations
• b) Systematic
• c) a-decay chains
• Conclusions

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MENDELEYEV PERIODIC TABLE OF THE ELEMENTS
1H
2He
3Li
4Be
5B
6C
7N
8O
9F
10Ne
11Na
12Mg
13Al
14Si
15P
16S
17Cl
18Ar
19K
20Ca
21Sc
22Ti
23V
24Cr
25Mn
26Fe
27Co
28Ni
29Cu
30Zn
31Ga
32Ge
33As
34Se
35Br
36Kr
37Rb
38Sr
39Y
40Zr
41Nb
42Mo
43Tc
44Ru
45Rh
46Pd
47Ag
48Cd
49In
50Sn
51Sb
52Te
53I
54Xe
105Db
55Cs
56Ba
57La
72Hf
73Ta
74W
75Re
76Os
77Ir
78Pt
79Au
80Hg
81Tl
82Pb
83Bi
84Po
85At
86Rn
87Fr
88Ra
89Ac
89Ac
104Rf
105Db
106Sg
107Bh
108Hs
109Mt
110Ds
111Rg
112Cn
113113
114114
115115
116116
118118
Transactinides
90Th
91Pa
92U
93Np
94Pu
95Am
96Cm
97Bk
98Cf
99Es
100Fm
101Md
102No
103Lr
Actinides
58Ce
59Pr
60Nd
61Pm
62Sm
63Eu
64Gd
65Tb
66Dy
67Ho
68Er
69Tm
70Yb
71Lu
Lanthanides
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?
Qt,th
a
g.s.
E
d
Qth
a
g.s.
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Method of the calculations
Macroscopic
Microscopic
Yukawa-plus-exponetial model
Strutinski shell correction
BCS pairing approximation
Woods-Saxon potential
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The shape of a nucleus
Axial symmetric nuclei
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ß2 0
ß3 ß4 ß5 ß6 ß7 ß80.
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ß2 0.2
ß3 ß4 ß5 ß6 ß7 ß80.
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ß2 0.3
ß3 ß4 ß5 ß6 ß7 ß80.
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ß2 0.4
ß3 ß4 ß5 ß6 ß7 ß80.
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ß2 0.4
ß4 0.1
ß3 ß5 ß6 ß7 ß80.
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ß2 0.4
ß4 0.2
ß3 ß5 ß6 ß7 ß80.
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ß2 0.4
ß4 0.2
ß6 0.1
ß3 ß5 ß7 ß80.
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ß2 0.4
ß4 0.2
ß6 0.1
ß8 0.1
ß3 ß5 ß70.
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Shell efects
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One-quasiparticle excitations
-8.0
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One-quasiparticle excitations
E MeV
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Phenomenological formula for a-decay half-lives
Viola-Seaborg formula
log10Ta(Z,N) a Z (Qa )-1/2 b Z c
log10Ta(Z,N) (a Z d) (Qa )-1/2 b Z c
for e-e
log10Ta(Z,N) a Z (Qa - Ep)-1/2 b Z c
for o-e
log10Ta(Z,N) a Z (Qa - En)-1/2 b Z c
for e-o
log10Ta(Z,N) a Z (Qa - Enp)-1/2 b Z c
for o-o
Enp En Ep
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Results
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Z 84 -110 N 128 -171
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Z 84 -110 N 128 -171
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Theoretical and experimental spins in a ground
state
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Summary

• 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 a-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 aexp is taken.
• The accuracy of the mentioned above
  phenomenological formula decreases by a factor of
  about 4, when theoretical values of Q ath are
  used.
• It is found that description of the 269Ds and
  271Ds chains data is rather good.