Experimental isoscalar giant monopole resonance (ISGMR)

4.5. Experimental isoscalar giant monopole resonance (ISGMR)#

In this tutorial, you will learn how to extract experimental ISGMR from the toolkit.


Import the libraries that will be employed in this tutorial.

# Import numpy
import numpy as np
# Import matplotlib
import matplotlib.pyplot as plt
# Import nucleardatapy package
import nucleardatapy as nuda

You can simply print out the properties of the nuda’s function that we will use:

# Explore the nucleardatapy module to find the correct attribute
print(dir(nuda.nuc.setupISGMRExp))
['__class__', '__delattr__', '__dict__', '__dir__', '__doc__', '__eq__', '__format__', '__ge__', '__getattribute__', '__getstate__', '__gt__', '__hash__', '__init__', '__init_subclass__', '__le__', '__lt__', '__module__', '__ne__', '__new__', '__reduce__', '__reduce_ex__', '__repr__', '__setattr__', '__sizeof__', '__str__', '__subclasshook__', '__weakref__', 'average', 'print_outputs', 'select']

Get the full list of tables:

tables, tables_lower = nuda.nuc.isgmr_exp_tables()
print('tables:',tables)
tables: ['2010-ISGMR-LI', '2018-ISGMR-GARG', '2018-ISGMR-GARG-few', '2022-ISGMR-average']

Fix a table

table = '2018-ISGMR-GARG-LATEX'

Load the experimental radii for the table:

gmr = nuda.nuc.setupISGMRExp( table = table )
Table  2018-ISGMR-GARG-LATEX  is not in the list of tables.
list of tables: ['2010-ISGMR-LI', '2018-ISGMR-GARG', '2018-ISGMR-GARG-few', '2022-ISGMR-average']
-- Exit the code --
---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
Cell In[5], line 1
----> 1 gmr = nuda.nuc.setupISGMRExp( table = table )

File ~/work/nucleardatapy/nucleardatapy/version-1.0/nucleardatapy/nuc/setup_isgmr_exp.py:68, in setupISGMRExp.__init__(self, table)
     66     print('list of tables:',tables)
     67     print('-- Exit the code --')
---> 68     exit()
     69 #
     70 nucA=[]; nucZ=[]; nucN=[]; nucSymbol=[]; nucEprobe=[]; nucProj=[]; 

NameError: name 'exit' is not defined

print output:

gmr.print_outputs( )
- Print output:
   table: 2018-ISGMR-GARG-LATEX
   ref: U. Garg and G. Colo, Prog. Part. Nucl. Phys. 101, 55 (2018)
   label: Garg-Colo-2018
   note: Parameters of the ISGMR peaks and moment ratios of the ISGMR strength distributions in stable nuclei as reported by the TAMU and RCNP groups. The probes employed in the measurements are listed for each case. Entries marked with $\star$ indicate that the $\Gamma$ is an RMS width, not that of a fitted peak. Entries marked with $\dagger$ indicate a multimodal strength distribution; in those cases the parameters for only the ``main'' ISGMR peak are included. For the TAMU data, the peak parameters correspond to a Gaussian fit, whereas for the RCNP  data, the corresponding parameters are for a Lorentzian fit.

Z: ['8', '12', '12', '14', '14', '16', '20', '20', '22', '22', '26', '28', '28', '28', '40', '40', '40', '40', '40', '40', '42', '42', '42', '42', '42', '42', '48', '48', '48', '48', '48', '48', '48', '50', '50', '50', '50', '50', '50', '50', '50', '50', '50', '50', '50', '50', '50', '62', '62', '62', '62', '62', '62', '62', '62', '62', '62', '62', '82', '82', '82', '82', '82', '82', '82']

A: ['16', '24', '24', '28', '28', '32', '40', '48', '46', '48', '56', '58', '58', '60', '90', '90', '90', '92', '92', '94', '92', '92', '94', '96', '98', '100', '106', '110', '110', '112', '114', '116', '116', '112', '112', '114', '116', '116', '116', '116', '116', '116', '118', '120', '122', '124', '124', '144', '144', '144', '148', '148', '150', '150', '152', '152', '154', '154', '204', '206', '208', '208', '208', '208', '208']
For Z: 8  A: 16
Centroid energy: 19.63
   with errp: 0.38
   with errm: 0.38
Centroid energy: 19.63
   with errp: 0.38
   with errm: 0.38
For Z: 12  A: 24
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 12  A: 24
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 14  A: 28
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 14  A: 28
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 16  A: 32
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 20  A: 40
Centroid energy: 18.3
   with errp: 0.3
   with errm: 0.3
Centroid energy: 18.3
   with errp: 0.3
   with errm: 0.3
For Z: 20  A: 48
Centroid energy: 19.04
   with errp: 0.11
   with errm: 0.14
Centroid energy: 19.04
   with errp: 0.11
   with errm: 0.14
For Z: 22  A: 46
Centroid energy: 18.10
   with errp: 0.5
   with errm: 0.2
Centroid energy: 18.10
   with errp: 0.5
   with errm: 0.2
For Z: 22  A: 48
Centroid energy: 18.33
   with errp: 0.36
   with errm: 0.15
Centroid energy: 18.33
   with errp: 0.36
   with errm: 0.15
For Z: 26  A: 56
Centroid energy: 17.92
   with errp: 0.26
   with errm: 0.15
Centroid energy: 17.92
   with errp: 0.26
   with errm: 0.15
For Z: 28  A: 58
Centroid energy: 18.70
   with errp: 0.34
   with errm: 0.17
Centroid energy: 18.70
   with errp: 0.34
   with errm: 0.17
For Z: 28  A: 58
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 28  A: 60
Centroid energy: 17.55
   with errp: 0.27
   with errm: 0.17
Centroid energy: 17.55
   with errp: 0.27
   with errm: 0.17
For Z: 40  A: 90
Centroid energy: 17.58
   with errp: 0.06
   with errm: 0.04
Centroid energy: 17.58
   with errp: 0.06
   with errm: 0.04
For Z: 40  A: 90
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 40  A: 90
Centroid energy: 17.66
   with errp: 0.07
   with errm: 0.07
Centroid energy: 17.66
   with errp: 0.07
   with errm: 0.07
For Z: 40  A: 92
Centroid energy: 17.71
   with errp: 0.09
   with errm: 0.07
Centroid energy: 17.71
   with errp: 0.09
   with errm: 0.07
For Z: 40  A: 92
Centroid energy: 17.52
   with errp: 0.04
   with errm: 0.04
Centroid energy: 17.52
   with errp: 0.04
   with errm: 0.04
For Z: 40  A: 94
Centroid energy: 15.75
   with errp: 0.27
   with errm: 0.15
Centroid energy: 15.75
   with errp: 0.27
   with errm: 0.15
For Z: 42  A: 92
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 42  A: 92
Centroid energy: 17.76
   with errp: 0.11
   with errm: 0.11
Centroid energy: 17.76
   with errp: 0.11
   with errm: 0.11
For Z: 42  A: 94
Centroid energy: 17.06
   with errp: 0.75
   with errm: 0.19
Centroid energy: 17.06
   with errp: 0.75
   with errm: 0.19
For Z: 42  A: 96
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 42  A: 98
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 42  A: 100
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 48  A: 106
Centroid energy: 16.06
   with errp: 0.05
   with errm: 0.05
Centroid energy: 16.06
   with errp: 0.05
   with errm: 0.05
Centroid energy: 16.06
   with errp: 0.05
   with errm: 0.05
For Z: 48  A: 110
Centroid energy: 14.96
   with errp: 0.13
   with errm: 0.12
Centroid energy: 14.96
   with errp: 0.13
   with errm: 0.12
Centroid energy: 14.96
   with errp: 0.13
   with errm: 0.12
For Z: 48  A: 110
Centroid energy: 15.72
   with errp: 0.05
   with errm: 0.05
Centroid energy: 15.72
   with errp: 0.05
   with errm: 0.05
Centroid energy: 15.72
   with errp: 0.05
   with errm: 0.05
For Z: 48  A: 112
Centroid energy: 15.59
   with errp: 0.05
   with errm: 0.05
Centroid energy: 15.59
   with errp: 0.05
   with errm: 0.05
Centroid energy: 15.59
   with errp: 0.05
   with errm: 0.05
For Z: 48  A: 114
Centroid energy: 15.37
   with errp: 0.08
   with errm: 0.08
Centroid energy: 15.37
   with errp: 0.08
   with errm: 0.08
Centroid energy: 15.37
   with errp: 0.08
   with errm: 0.08
For Z: 48  A: 116
Centroid energy: 14.31
   with errp: 0.2
   with errm: 0.17
Centroid energy: 14.31
   with errp: 0.2
   with errm: 0.17
Centroid energy: 14.31
   with errp: 0.2
   with errm: 0.17
For Z: 48  A: 116
Centroid energy: 15.19
   with errp: 0.06
   with errm: 0.06
Centroid energy: 15.19
   with errp: 0.06
   with errm: 0.06
Centroid energy: 15.19
   with errp: 0.06
   with errm: 0.06
For Z: 50  A: 112
Centroid energy: 15.23
   with errp: 0.26
   with errm: 0.14
Centroid energy: 15.23
   with errp: 0.26
   with errm: 0.14
Centroid energy: 15.23
   with errp: 0.26
   with errm: 0.14
For Z: 50  A: 112
Centroid energy: 16.1
   with errp: 0.1
   with errm: 0.1
Centroid energy: 16.1
   with errp: 0.1
   with errm: 0.1
Centroid energy: 16.1
   with errp: 0.1
   with errm: 0.1
For Z: 50  A: 114
Centroid energy: 15.9
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.9
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.9
   with errp: 0.1
   with errm: 0.1
For Z: 50  A: 116
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 50  A: 116
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 50  A: 116
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 50  A: 116
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 50  A: 116
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 50  A: 116
Centroid energy: 15.7
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.7
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.7
   with errp: 0.1
   with errm: 0.1
For Z: 50  A: 118
Centroid energy: 15.6
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.6
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.6
   with errp: 0.1
   with errm: 0.1
For Z: 50  A: 120
Centroid energy: 15.5
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.5
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.5
   with errp: 0.1
   with errm: 0.1
For Z: 50  A: 122
Centroid energy: 15.2
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.2
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.2
   with errp: 0.1
   with errm: 0.1
For Z: 50  A: 124
Centroid energy: 14.33
   with errp: 0.17
   with errm: 0.14
Centroid energy: 14.33
   with errp: 0.17
   with errm: 0.14
Centroid energy: 14.33
   with errp: 0.17
   with errm: 0.14
For Z: 50  A: 124
Centroid energy: 15.1
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.1
   with errp: 0.1
   with errm: 0.1
Centroid energy: 15.1
   with errp: 0.1
   with errm: 0.1
For Z: 62  A: 144
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 144
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 144
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 148
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 148
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 150
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 150
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 152
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 152
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 154
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 62  A: 154
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 82  A: 204
Centroid energy: 13.7
   with errp: 0.1
   with errm: 0.1
Centroid energy: 13.7
   with errp: 0.1
   with errm: 0.1
Centroid energy: 13.7
   with errp: 0.1
   with errm: 0.1
For Z: 82  A: 206
Centroid energy: 13.6
   with errp: 0.1
   with errm: 0.1
Centroid energy: 13.6
   with errp: 0.1
   with errm: 0.1
Centroid energy: 13.6
   with errp: 0.1
   with errm: 0.1
For Z: 82  A: 208
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 82  A: 208
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 82  A: 208
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 82  A: 208
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
Centroid energy: None
   with errp: None
   with errm: None
For Z: 82  A: 208
Centroid energy: 13.5
   with errp: 0.1
   with errm: 0.1
Centroid energy: 13.5
   with errp: 0.1
   with errm: 0.1
Centroid energy: 13.5
   with errp: 0.1
   with errm: 0.1

plot:

nuda.fig.nuc_setupISGMRExp_fig( None, tables )
Plot name: None
Table: 2010-ISGMR-LI

number of different nuclei: 13

number of total entries:    13
For Z =  40

For Z =  50

For Z =  82

Table: 2018-ISGMR-GARG

number of different nuclei: 14

number of total entries:    14
For Z =  40

For Z =  50

For Z =  82

Table: 2018-ISGMR-GARG-LATEX
nbk: 0  nuc: 0  Z= 8  symbol: O  A= 16  N= 8  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 1  nuc: 1  Z= 12  symbol: Mg  A= 24  N= 12  Eprobe= 240  proj: $^{6}$Li  E0: None None None
nbk: 2  nuc: 1  Z= 12  symbol: Mg  A= 24  N= 12  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 3  nuc: 2  Z= 14  symbol: Si  A= 28  N= 14  Eprobe= 240  proj: $^{6}$Li  E0: None None None
nbk: 4  nuc: 2  Z= 14  symbol: Si  A= 28  N= 14  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 5  nuc: 3  Z= 16  symbol: S  A= 32  N= 16  Eprobe= 386  proj: $\alpha$  E0: None None None
nbk: 6  nuc: 4  Z= 20  symbol: Ca  A= 40  N= 20  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 7  nuc: 5  Z= 20  symbol: Ca  A= 48  N= 28  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 8  nuc: 6  Z= 22  symbol: Ti  A= 46  N= 24  Eprobe= 240  proj: $\alpha$  E0: 18.44 0.25 0.25
nbk: 9  nuc: 7  Z= 22  symbol: Ti  A= 48  N= 26  Eprobe= 240  proj: $\alpha$  E0: 18.73 0.23 0.23
nbk: 10  nuc: 8  Z= 26  symbol: Fe  A= 56  N= 30  Eprobe= 240  proj: $\alpha$  E0: 18.14 0.14 0.15
nbk: 11  nuc: 9  Z= 28  symbol: Ni  A= 58  N= 30  Eprobe= 240  proj: $\alpha$  E0: 18.43 0.15 0.15
nbk: 12  nuc: 9  Z= 28  symbol: Ni  A= 58  N= 30  Eprobe= 386  proj: $\alpha$  E0: 19.9 0.7 0.8
nbk: 13  nuc: 10  Z= 28  symbol: Ni  A= 60  N= 32  Eprobe= 240  proj: $\alpha$  E0: 17.62 0.15 0.15
nbk: 14  nuc: 11  Z= 40  symbol: Zr  A= 90  N= 50  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 15  nuc: 11  Z= 40  symbol: Zr  A= 90  N= 50  Eprobe= 386  proj: $\alpha$  E0: 16.6 0.1 0.1
nbk: 16  nuc: 11  Z= 40  symbol: Zr  A= 90  N= 50  Eprobe= 386  proj: $\alpha$  E0: 16.55 0.08 0.08
nbk: 17  nuc: 12  Z= 40  symbol: Zr  A= 92  N= 52  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 18  nuc: 12  Z= 40  symbol: Zr  A= 92  N= 52  Eprobe= 386  proj: $\alpha$  E0: 16.12 0.04 0.04
nbk: 19  nuc: 13  Z= 40  symbol: Zr  A= 94  N= 54  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 20  nuc: 14  Z= 42  symbol: Mo  A= 92  N= 50  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 21  nuc: 14  Z= 42  symbol: Mo  A= 92  N= 50  Eprobe= 386  proj: $\alpha$  E0: 16.79 0.11 0.11
nbk: 22  nuc: 15  Z= 42  symbol: Mo  A= 94  N= 52  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 23  nuc: 16  Z= 42  symbol: Mo  A= 96  N= 54  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 24  nuc: 17  Z= 42  symbol: Mo  A= 98  N= 56  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 25  nuc: 18  Z= 42  symbol: Mo  A= 100  N= 58  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 26  nuc: 19  Z= 48  symbol: Cd  A= 106  N= 58  Eprobe= 386  proj: $\alpha$  E0: 16.50 0.19 0.19
nbk: 27  nuc: 20  Z= 48  symbol: Cd  A= 110  N= 62  Eprobe= 240  proj: $\alpha$  E0: 15.71 0.11 0.11
nbk: 28  nuc: 20  Z= 48  symbol: Cd  A= 110  N= 62  Eprobe= 386  proj: $\alpha$  E0: 16.09 0.15 0.15
nbk: 29  nuc: 21  Z= 48  symbol: Cd  A= 112  N= 64  Eprobe= 386  proj: $\alpha$  E0: 15.72 0.1 0.1
nbk: 30  nuc: 22  Z= 48  symbol: Cd  A= 114  N= 66  Eprobe= 386  proj: $\alpha$  E0: 15.59 0.2 0.2
nbk: 31  nuc: 23  Z= 48  symbol: Cd  A= 116  N= 68  Eprobe= 240  proj: $\alpha$  E0: 15.17 0.12 0.11
nbk: 32  nuc: 23  Z= 48  symbol: Cd  A= 116  N= 68  Eprobe= 386  proj: $\alpha$  E0: 15.43 0.12 0.12
nbk: 33  nuc: 24  Z= 50  symbol: Sn  A= 112  N= 62  Eprobe= 240  proj: $\alpha$  E0: 15.67  0.11 0.11
nbk: 34  nuc: 24  Z= 50  symbol: Sn  A= 112  N= 62  Eprobe= 386  proj: $\alpha$  E0: 16.1 0.1 0.1
nbk: 35  nuc: 25  Z= 50  symbol: Sn  A= 114  N= 64  Eprobe= 386  proj: $\alpha$  E0: 15.9 0.1 0.1
nbk: 36  nuc: 26  Z= 50  symbol: Sn  A= 116  N= 66  Eprobe= 196  proj: $d$  E0: 15.7 0.1 0.1
nbk: 37  nuc: 26  Z= 50  symbol: Sn  A= 116  N= 66  Eprobe= 240  proj: $^{6}$Li  E0: 15.58 0.18 0.18
nbk: 38  nuc: 26  Z= 50  symbol: Sn  A= 116  N= 66  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 39  nuc: 26  Z= 50  symbol: Sn  A= 116  N= 66  Eprobe= 240  proj: $\alpha$  E0: 15.77 0.07 0.07
nbk: 40  nuc: 26  Z= 50  symbol: Sn  A= 116  N= 66  Eprobe= 386  proj: $\alpha$  E0: 15.4 0.1 0.1
nbk: 41  nuc: 26  Z= 50  symbol: Sn  A= 116  N= 66  Eprobe= 386  proj: $\alpha$  E0: 15.8 0.1 0.1
nbk: 42  nuc: 27  Z= 50  symbol: Sn  A= 118  N= 68  Eprobe= 386  proj: $\alpha$  E0: 15.6 0.1 0.1
nbk: 43  nuc: 28  Z= 50  symbol: Sn  A= 120  N= 70  Eprobe= 386  proj: $\alpha$  E0: 15.4 0.2 0.2
nbk: 44  nuc: 29  Z= 50  symbol: Sn  A= 122  N= 72  Eprobe= 386  proj: $\alpha$  E0: 15.0 0.2 0.2
nbk: 45  nuc: 30  Z= 50  symbol: Sn  A= 124  N= 74  Eprobe= 240  proj: $\alpha$  E0: 15.34 0.13 0.13
nbk: 46  nuc: 30  Z= 50  symbol: Sn  A= 124  N= 74  Eprobe= 386  proj: $\alpha$  E0: 14.8 0.2 0.2
nbk: 47  nuc: 31  Z= 62  symbol: Sm  A= 144  N= 82  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 48  nuc: 31  Z= 62  symbol: Sm  A= 144  N= 82  Eprobe= 240  proj: $\alpha$  E0: 15.16 0.11 0.11
nbk: 49  nuc: 31  Z= 62  symbol: Sm  A= 144  N= 82  Eprobe= 386  proj: $\alpha$  E0: 15.30 0.11 0.12
nbk: 50  nuc: 32  Z= 62  symbol: Sm  A= 148  N= 86  Eprobe= 386  proj: $\alpha$  E0: 12.32 0.45 0.45
nbk: 51  nuc: 32  Z= 62  symbol: Sm  A= 148  N= 86  Eprobe= 386  proj: $\alpha$  E0: 15.37 0.14 0.18
nbk: 52  nuc: 33  Z= 62  symbol: Sm  A= 150  N= 88  Eprobe= 386  proj: $\alpha$  E0: 12.5 1.7 1.5
nbk: 53  nuc: 33  Z= 62  symbol: Sm  A= 150  N= 88  Eprobe= 386  proj: $\alpha$  E0: 15.48  0.28 0.28
nbk: 54  nuc: 34  Z= 62  symbol: Sm  A= 152  N= 90  Eprobe= 386  proj: $\alpha$  E0: 11.27 0.32 0.54
nbk: 55  nuc: 34  Z= 62  symbol: Sm  A= 152  N= 90  Eprobe= 386  proj: $\alpha$  E0: 15.44 0.12 0.23
nbk: 56  nuc: 35  Z= 62  symbol: Sm  A= 154  N= 92  Eprobe= 386  proj: $\alpha$  E0: 10.83 0.32 0.54
nbk: 57  nuc: 35  Z= 62  symbol: Sm  A= 154  N= 92  Eprobe= 386  proj: $\alpha$  E0: 15.45 0.13 0.16
nbk: 58  nuc: 36  Z= 82  symbol: Pb  A= 204  N= 122  Eprobe= 386  proj: $\alpha$  E0: 13.8 0.1 0.1
nbk: 59  nuc: 37  Z= 82  symbol: Pb  A= 206  N= 124  Eprobe= 386  proj: $\alpha$  E0: 13.8 0.1 0.1
nbk: 60  nuc: 38  Z= 82  symbol: Pb  A= 208  N= 126  Eprobe= 196  proj: $d$  E0: 13.6 0.1 0.1
nbk: 61  nuc: 38  Z= 82  symbol: Pb  A= 208  N= 126  Eprobe= 240  proj: $\alpha$  E0: None None None
nbk: 62  nuc: 38  Z= 82  symbol: Pb  A= 208  N= 126  Eprobe= 240  proj: $\alpha$  E0: 13.91 0.11 0.11
nbk: 63  nuc: 38  Z= 82  symbol: Pb  A= 208  N= 126  Eprobe= 386  proj: $\alpha$  E0: 13.4 0.2 0.2
nbk: 64  nuc: 38  Z= 82  symbol: Pb  A= 208  N= 126  Eprobe= 386  proj: $\alpha$  E0: 13.7 0.1 0.1

number of different nuclei: 38

number of total entries:    64
For Z =  40

For Z =  50

For Z =  82

Table: 2022-ISGMR-average

number of different nuclei: 14

number of total entries:    14
For Z =  40

For Z =  50

For Z =  82
../../_images/6b4c124935a8798f724857f50668be156204a7cf220d364df914672276aae96c.png