The ETFSI approach to the nuclear mass formula

2005 ◽  
pp. 126-134
Author(s):  
J. M. Pearson ◽  
F. Tondeur ◽  
A. K. Dutta
Keyword(s):  
Mass Formula ◽  
Nuclear Mass

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 Hartree-Fock nuclear mass formula

2003 ◽  
pp. 15-18
Author(s):  
J. M. Pearson ◽  
S. Goriely ◽  
M. Samyn
Keyword(s):  
Mass Formula ◽  
Nuclear Mass ◽  
Hartree Fock

A Hartree-Fock nuclear mass formula

2002 ◽  
Vol 15 (1-2) ◽  
pp. 13-16 ◽  
Author(s):  
J.M. Pearson ◽  
S. Goriely ◽  
M. Samyn
Keyword(s):  
Mass Formula ◽  
Nuclear Mass ◽  
Hartree Fock

Nuclear mass formula via an approximation to the Hartree—Fock method

1995 ◽  
Vol 61 (1) ◽  
pp. 127-176 ◽  
Author(s):  
Y. Aboussir ◽  
J.M. Pearson ◽  
A.K. Dutta ◽  
F. Tondeur
Keyword(s):  
Mass Formula ◽  
Nuclear Mass ◽  
Hartree Fock

Thomas-fermi approach to nuclear mass formula

1986 ◽  
Vol 458 (1) ◽  
pp. 77-94 ◽  
Author(s):  
A.K. Dutta ◽  
J.-P. Arcoragi ◽  
J.M. Pearson ◽  
R. Behrman ◽  
F. Tondeur
Keyword(s):  
Mass Formula ◽  
Nuclear Mass ◽  
Thomas Fermi

Nuclear mass formula with Bogolyubov-enhanced shell-quenching: application to r-process

1996 ◽  
Vol 387 (3) ◽  
pp. 455-459 ◽  
Author(s):  
J.M. Pearson ◽  
R.C. Nayak ◽  
S. Goriely
Keyword(s):  
Mass Formula ◽  
Nuclear Mass ◽  
R Process

Thomas-Fermi approach to nuclear mass formula

1987 ◽  
Vol 470 (1) ◽  
pp. 93-106 ◽  
Author(s):  
F. Tondeur ◽  
A.K. Dutta ◽  
J.M. Pearson ◽  
R. Behrman
Keyword(s):  
Mass Formula ◽  
Nuclear Mass ◽  
Thomas Fermi

Nuclear mass formula with shell energies calculated by a new method

2000 ◽  
Vol 674 (1-2) ◽  
pp. 47-76 ◽  
Author(s):  
Hiroyuki Koura ◽  
Masahiro Uno ◽  
Takahiro Tachibana ◽  
Masami Yamada
Keyword(s):  
Mass Formula ◽  
New Method ◽  
Nuclear Mass
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