Calculate the Binding Energy Using the Least Squares Method to Modify the Liquid Drop Model

Z) surrounding the region of the nucleus through the potential energy (X0), which allows a clearer understanding of the nuclear structure, leading to good information in the field of applied nuclear physics. The least squares method (LSM) was used to determine the constants of the proposed formula, by creating a code using the Fortran 95 language, and the code was solved using the Gaussian method, and the constants were found for more than 400 different nuclei (even-even, even-odd, odd-odd) within the range (2 Z 92). To determine the reliability of the proposed formula, a statistical measure was used the standard deviation (), its accuracy in calculating the theoretical binding energy, and the standard deviation (=0.384) of the updated formulation of the modified liquid drop model or (MLDM).]]>

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Publication Details

Journal
Mağallaẗ ʻulūm al-rāfidayn
Published
2025-03-01
DOI
https://doi.org/10.33899/rjs.2025.186498
Primary Topic
Electrohydrodynamics and Fluid Dynamics
Type
article
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article

Calculate the Binding Energy Using the Least Squares Method to Modify the Liquid Drop Model

Enas AL-Fraha
Mağallaẗ ʻulūm al-rāfidayn
Electrohydrodynamics and Fluid Dynamics
article

Calculate the Binding Energy Using the Least Squares Method to Modify the Liquid Drop Model

Enas AL-Fraha
article en

Abstract

Z) surrounding the region of the nucleus through the potential energy (X0), which allows a clearer understanding of the nuclear structure, leading to good information in the field of applied nuclear physics. The least squares method (LSM) was used to determine the constants of the proposed formula, by creating a code using the Fortran 95 language, and the code was solved using the Gaussian method, and the constants were found for more than 400 different nuclei (even-even, even-odd, odd-odd) within the range (2 Z 92). To determine the reliability of the proposed formula, a statistical measure was used the standard deviation (), its accuracy in calculating the theoretical binding energy, and the standard deviation (=0.384) of the updated formulation of the modified liquid drop model or (MLDM).]]>

Mağallaẗ ʻulūm al-rāfidaynVol. 34(1)
University of Mosul (IQ)
Affordable and clean energy
Openalex Percentile: Top 97%
Electrohydrodynamics and Fluid Dynamics
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