Version 1
: Received: 28 May 2024 / Approved: 29 May 2024 / Online: 29 May 2024 (07:37:32 CEST)
Version 2
: Received: 1 August 2024 / Approved: 2 August 2024 / Online: 5 August 2024 (07:09:09 CEST)
How to cite:
Seshavatharam, U.; Lakshminarayana, S. Understanding Super Heavy Stable Mass Numbers and Maximum Binding Energy of Any Mass Number with Revised Strong and Electroweak Mass Formula. Preprints2024, 2024051928. https://doi.org/10.20944/preprints202405.1928.v2
Seshavatharam, U.; Lakshminarayana, S. Understanding Super Heavy Stable Mass Numbers and Maximum Binding Energy of Any Mass Number with Revised Strong and Electroweak Mass Formula. Preprints 2024, 2024051928. https://doi.org/10.20944/preprints202405.1928.v2
Seshavatharam, U.; Lakshminarayana, S. Understanding Super Heavy Stable Mass Numbers and Maximum Binding Energy of Any Mass Number with Revised Strong and Electroweak Mass Formula. Preprints2024, 2024051928. https://doi.org/10.20944/preprints202405.1928.v2
APA Style
Seshavatharam, U., & Lakshminarayana, S. (2024). Understanding Super Heavy Stable Mass Numbers and Maximum Binding Energy of Any Mass Number with Revised Strong and Electroweak Mass Formula. Preprints. https://doi.org/10.20944/preprints202405.1928.v2
Chicago/Turabian Style
Seshavatharam, U. and S. Lakshminarayana. 2024 "Understanding Super Heavy Stable Mass Numbers and Maximum Binding Energy of Any Mass Number with Revised Strong and Electroweak Mass Formula" Preprints. https://doi.org/10.20944/preprints202405.1928.v2
Abstract
In our recent publications, based on strong and electroweak interactions, we have developed a completely new formula for estimating nuclear binding energy. With reference to currently believed Semi Empirical Mass Formula (SEMF), we call our formula as ‘Strong and Electroweak Mass Formula’ (SEWMF). Our formula constitutes 4 simple terms and only one energy coefficient of magnitude 10.1 MeV. First term is a volume term, second term seems to be a representation of free nucleons associated with electroweak interaction, third term is a radial term and fourth one is an asymmetry term about the mean stable mass number. In this paper, we make an attempt to understand and estimate the maximum binding energy associated with any mass number. It can be expressed as, for A > 4, $\left(BE\right)_A\cong \left[A-0.000935A^2-A^{1/3}-A^{-1/2}\right]$ MeV. We are working on refining the 4th term with even-odd corrections, shell corrections and other microscopic corrections. Proceeding further, stable mass numbers and super heavy mass numbers can be understood with a relation of the form, $\left[\textrm{RoundOff}\left(\left(Z+2.9464\right)^{1.2}-1.7165\right)\right]\pm\left[0,1\right]\pm\left(2n\right)$ where $n \cong 0,1,2$. It needs a review with respect to even-odd proton numbers and other microscopic corrections.Very interesting point to be noted is that based on the concept of “binding energy per nucleon”, the most complicated Avogadro number and Unified atomic mass unit can be estimated in a unified approach.
Keywords
semi empirical mass formula (SEMF); strong and electroweak mass formula (SEWMF); free nucleons; light house like stable mass number; super heavy mass numbers; revised electroweak term; maximum binding energy of any mass number; avogadro number; unified atomic mass unit
Subject
Physical Sciences, Nuclear and High Energy Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
