A possible correction of the semi-empirical mass formula

1956 ◽  
Vol 6 (2) ◽  
pp. 345-346 ◽  
Author(s):  
G. Szamosi ◽  
M. A. Ziegler
Keyword(s):  
Mass Formula ◽  
Semi Empirical

scholarly journals Modification of the nuclear landscape in the inverse problem framework using the generalized Bethe–Weizsäcker mass formula

2018 ◽  
Vol 27 (02) ◽  
pp. 1850015 ◽  
Author(s):  
S. Cht. Mavrodiev ◽  
M. A. Deliyergiyev
Keyword(s):  
Inverse Problem ◽  
Mass Formula ◽  
Maximum Deviation ◽  
Model Parameters ◽  
Magic Numbers ◽  
Systems Of Equations ◽  
Nonlinear Systems Of Equations ◽  
Nuclear Mass ◽  
Nuclear Masses ◽  
Semi Empirical

We formalized the nuclear mass problem in the inverse problem framework. This approach allows us to infer the underlying model parameters from experimental observation, rather than to predict the observations from the model parameters. The inverse problem was formulated for the numerically generalized semi-empirical mass formula of Bethe and von Weizsäcker. It was solved in a step-by-step way based on the AME2012 nuclear database. The established parametrization describes the measured nuclear masses of 2564 isotopes with a maximum deviation less than 2.6[Formula: see text]MeV, starting from the number of protons and number of neutrons equal to 1.The explicit form of unknown functions in the generalized mass formula was discovered in a step-by-step way using the modified least [Formula: see text] procedure, that realized in the algorithms which were developed by Lubomir Aleksandrov to solve the nonlinear systems of equations via the Gauss–Newton method, lets us to choose the better one between two functions with same [Formula: see text]. In the obtained generalized model, the corrections to the binding energy depend on nine proton (2, 8, 14, 20, 28, 50, 82, 108, 124) and ten neutron (2, 8, 14, 20, 28, 50, 82, 124, 152, 202) magic numbers as well on the asymptotic boundaries of their influence. The obtained results were compared with the predictions of other models.

A new semi-empirical mass formula

1962 ◽  
Vol 29 ◽  
pp. 212-240 ◽  
Author(s):  
R. Ayres ◽  
W.F. Hornyak ◽  
L. Chan ◽  
H. Fann
Keyword(s):  
Mass Formula ◽  
Semi Empirical

Semi-empirical mass formula and nuclear radii

1969 ◽  
Vol 30 (9) ◽  
pp. 607-608 ◽  
Author(s):  
J.R. Rook
Keyword(s):  
Mass Formula ◽  
Semi Empirical

Semi-empirical Nuclear Mass Formula: Simultaneous Determination of 4 Coefficients

2016 ◽  
Vol 1 (2) ◽  
pp. 1-10
Author(s):  
José Pinedo-Vega ◽  
Carlos Ríos-Martínez ◽  
Mirna Talamantes-Carlos ◽  
Fernando Mireles-García ◽  
J Dávila-Rangel ◽  
...  
Keyword(s):  
Simultaneous Determination ◽  
Mass Formula ◽  
Nuclear Mass ◽  
Semi Empirical

scholarly journals On the Role of Squared Neutron Number in Reducing Nuclear Binding Energy in the Light of Electromagnetic, Weak and Nuclear Gravitational Constants – A Review

2019 ◽  
pp. 1-22
Author(s):  
U. V. S. Seshavatharam ◽  
S. Lakshminarayana
Keyword(s):  
Binding Energy ◽  
Strong Coupling ◽  
Mass Formula ◽  
Neutron Number ◽  
Strong Coupling Constant ◽  
Nuclear Binding Energy ◽  
Coupling Constant ◽  
Nuclear Binding ◽  
Energy Coefficient ◽  
Semi Empirical

With reference to authors recently proposed three virtual atomic gravitational constants and nuclear elementary charge, close to stable mass numbers, it is possible to show that, squared neutron number plays a major role in reducing nuclear binding energy. In this context, Z=30 onwards, ‘inverse of the strong coupling constant’, can be inferred as a representation of the maximum strength of nuclear interaction and 10.09 MeV can be considered as a characteristic nuclear binding energy coefficient. Coulombic energy coefficient being 0.695 MeV, semi empirical mass formula - volume, surface, asymmetric and pairing energy coefficients can be shown to be 15.29 MeV, 15.29 MeV, 23.16 MeV and 10.09 MeV respectively. Volume and Surface energy terms can be represented with (A-A2/3-1)*15.29 MeV. With reference to nuclear potential of 1.162 MeV and coulombic energy coefficient, close to stable mass numbers, nuclear binding energy can be fitted with two simple terms having an effective binding energy coefficient of  [10.09-(1.162+0.695)/2] = 9.16 MeV. Nuclear binding energy can also be fitted with five terms having a single energy coefficient of 10.09 MeV. With further study, semi empirical mass formula can be simplified with respect to strong coupling constant.

On the Mass Number A Dependence of the Semi-empirical Mass Formula

2010 ◽  
Vol 56 (5) ◽  
pp. 1546-1549 ◽  
Author(s):  
Dongwoo Cha ◽  
Byeongnoh Kim
Keyword(s):  
Mass Formula ◽  
Mass Number ◽  
Semi Empirical
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