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205035

Generalizing the Liquid Drop Model (LDM) to Assess (Q_β^+-value) for Nuclei in the Range of 10≤Z≤98.

Article

Last updated: 22 Jan 2023

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Abstract

In this research, a new formula of positive beta decay energy (Q_β^+-value) was obtained for light, medium and heavy nuclei (even – even, even – odd, odd – even and odd – odd) for the range of nuclei (10≤Z≤98). Instead of mass differences values, this formula is expressed in the form of nuclear binding energies. After multiple mathematical derivations, the decay energy is defined using the liquid drop model (LDM) to arrive at a final equation for the positive beta decay energy. The (Q_β^+-value) was calculated using four terms: the first term represents the symmetry energy with the opposite sign as in the liquid drop model, the second term represents the Coulomb repulsion energy, and the other two terms represent the pairing and constant (C) terms, where (C) is provided by the mass difference between the neutron and proton. In the investigation of our novel formula of (Q_β^+-value).The findings showed a good match between experimental and theoretical values, especially for heavy and medium nuclei, but a less match for light nuclei due to the presence of a magic numbers. In the investigation of our novel Q_β^+-value formula, the standard deviation (σ) was used to calculate the dependency of (LDM).

DOI

10.21608/ajnsa.2021.75297.1471

Keywords

: Q_β^+-value, Binding energy, Liquid Drop Model, Beta Decay, Magic Number

Authors

First Name

Firas

Last Name

Al-jomaily

MiddleName

Mohammed Ali

Affiliation

Physics Department College of Science, Mosul University, Mosul, IRAQ.

Email

dr.firas@uomosul.edu.iq

City

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Orcid

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First Name

Raghda

Last Name

Abdullateef

MiddleName

Tareq

Affiliation

Physics Department ,Science College ,Mosul University

Email

raghda.scp92@student.uomosul.edu.iq

City

Mosul

Orcid

-

Volume

55

Article Issue

1

Related Issue

29587

Issue Date

2022-01-01

Receive Date

2021-05-05

Publish Date

2022-01-01

Page Start

62

Page End

69

Print ISSN

1110-0451

Online ISSN

2090-4258

Link

https://ajnsa.journals.ekb.eg/article_205035.html

Detail API

https://ajnsa.journals.ekb.eg/service?article_code=205035

Order

6

Type

Original Article

Type Code

455

Publication Type

Journal

Publication Title

Arab Journal of Nuclear Sciences and Applications

Publication Link

https://ajnsa.journals.ekb.eg/

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Details

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Article

Created At

22 Jan 2023