data center of the petersburg nuclear physics institute
DESCRIPTION
Data Center of the Petersburg Nuclear Physics Institute. SYSTEMATICS OF NUCLEAR GAMMA TRANSITIONS I.Mitropolsky. Gamma Transitions in Level Schemes. Data Base of Transitions. A, Z, N – nuclides , R – kind of excitation ( reaction or decay ), - PowerPoint PPT PresentationTRANSCRIPT
Data Center of the Petersburg Nuclear Physics Institute
SYSTEMATICS OF NUCLEAR GAMMA TRANSITIONS
I.Mitropolsky
Gamma Transitions in Level Schemes
Data Base of Transitions• A, Z, N – nuclides,• R – kind of excitation (reaction or decay),
• EG, δEG – transition energy and its uncertainty,
• EL, δEL – energy of the initial level for allocated transition and uncertainty,
• XL – transition multipolarity,• Jπ – spin and parity of the initial level,
• IG, δIG – transition intensity and uncertainty,
• B(XL) – reduced transition probability,• α(XL) – conversion coefficient
Systematics of Nuclear Gamma Transitions
In the ENSDF there are 237682 gamma transitions in 1985 nuclides.
Energies of 49164 transitions are given without uncertainties.
The largest number of transitions NG is :1984 for 38Ar,1329 for 53Mn,1168 for 51Mn,1130 for 55Mn,1024 for 187W,1009 for 49V.
Energy Distribution of the Gamma Transitions
Totally 237682 transitions
Transitions from (n,γ) Reactions
81656 transitions
Direct transitions
Gamma Transitions from Decays
109473 transitions
Transition Multipolarities
Multipolarity Total Even-even nuclei
Odd-mass nuclei
Odd-odd nuclei
E0 851 699 150 2
E1 10236 3821 4639 1776
M1 28688 6977 14862 6849
E2 32333 13941 12316 6076
M2 1776 688 853 235
E3 638 203 317 118
E4 34 14 9 11
Dipole E1 Transitions
E1 (n,)
152EU ADOPTED
0
50
100
150
200
250
0 200 400 600 800 1000 1200 1400
EG (keV)
Local Energy Distributions
,2exp)( 222
aEa
EEp
N
Ea i
2
222
Rayleigh or Wigner-Dyson like distribution:
Parameter Systematics
0 50 100 150 200 250
0
2000
4000
6000
8000
10000
a (k
eV)
A
1659 nuclides with NG>9
Newcomb-Benford law
Analysis of distribution of the first significant digits in the large sets of measurement results (experimental data).
S.Newcomb [Amer. J. Math., 1881, v. 4, p.39] observed that the earlier pages of logarithmic tables were more worn than later pages. He concluded that numbers with low valued leading digits arose more frequently in calculations.
F.Benford [Proc. Amer. Philos. Soc., 1938, v.78, No.4, p.551] published the distributions of leading digits in 20 data sets taken from a wide variety of sources.
Title First Digit Count
1 2 3 4 5 6 7 8 9
Rivers, Area 31 16,4 10,7 11,3 7,2 8,6 5,5 4,2 5,1 335
Population 33,9 20,4 14,2 8,1 7,2 6,2 4,1 3,7 2,2 3259
Constants 41,3 14,4 4,8 8,6 10,6 5,8 1 2,9 10,6 104
Newspapers 30 18 12 10 8 6 6 5 5 100
Spec. Heat 24 18,4 16,2 14,6 10,6 4,1 3,2 4,8 4,1 1389
Pressure 29,6 18,3 12,8 9,8 8,3 6,4 5,7 4,4 4,7 703
H.P. Lost 30 18,4 11,9 10,8 8,1 7 5,1 5,1 3,6 690
Mol. Wgt. 26,7 25,2 15,4 10,8 6,7 5,1 4,1 2,8 3,2 1800
Drainage 27,1 23,9 13,8 12,6 8,2 5 5 2,5 1,9 159
Atomic Weight 47,2 18,7 5,5 4,4 6,6 4,4 3,3 4,4 5,5 91
Design 26,8 14,8 14,3 7,5 8,3 8,4 7 7,3 5,6 560
Digest 33,4 18,5 12,4 7,5 7,1 6,5 5,5 4,9 4,2 308
Cost Data 32,4 18,8 10,1 10,1 9,8 5,5 4,7 5,5 3,1 741
X-Ray Volts 27,9 17,5 14,4 9 8,1 7,4 5,1 5,8 4,8 707
Am. League 32,7 17,6 12,6 9,8 7,4 6,4 4,9 5,6 3 1458
Black Body 31 17,3 14,1 8,7 6,6 7 5,2 4,7 5,4 1165
Addresses 28,9 19,2 12,6 8,8 8,5 6,4 5,6 5 5 342
Death Rate 27 18,6 15,7 9,4 6,7 6,5 7,2 4,8 4,1 418
Average 30,6 18,5 12,4 9,4 8 6,4 5,1 4,9 4,7
Newcomb-Benford law
k
kkW
1lg)(
9,...2,1k
2
2
109
1010
110lg),(
n
niki
kinkW
2 ;9,...1,0 nk
Newcomb-Benford Law for the Transition Energies
First digit in the energy of 214112 transitions
0
10000
20000
30000
40000
50000
60000
70000
1 2 3 4 5 6 7 8 9 10
экспер
теория
First two digits in 214100 transitions
0100020003000400050006000700080009000
10000
10 20 30 40 50 60 70 80 90 100
экспер
теория
First three digits in 213754 transitions
0
200
400
600
800
1000
1200
100 200 300 400 500 600 700 800 900 1000
зкспер
теория
First four digits in 201059 transitions
0
20
40
60
80
100
120
140
1000 2000 3000 4000 5000 6000 7000 8000 9000 10000
экспер
теория
-20 -15 -10 -5 0 5 10 15 20
0
200
400
600
800
N
lg T1/2
-20 -10 0 10 20 300
20
40
60
80
N
lg T1/2
Half-lives of nuclear states
Distribution on the first significant digits in nuclear half-lives
0
1000
2000
3000
4000
5000
6000
7000
0 1 2 3 4 5 6 7 8 9 10
Distribution on the first digits for nuclear half-lives with definite
uncertainties
Resume
«There are two main human sins from which all other follow: impatience and negligence. Because of impatience people were expelled from Eden, because of negligence they don't come back there».
Franz Kafka
in my translation
