Nuclear and Atomic Physics


Searching Harmonics in Nuclei Gyromagnetic Ratios. Startling Emergence of Scaling, Pseudo Octaves, and the Fine-Structure Constant from a Seemingly Random Network.

Authors: Bruno R. Galeffi

A plot of the nuclei gyromagnetic ratios vs. corresponding mass numbers was intuitively fitted with classic damped sinusoids of the form [asin(bx+c)+d]exp(-kx) using the interactive QtiPlot software. The outcome was a 2D interlaced network from which unexpected scaling emerged. The sine waves frequencies in descending order were found to follow the intriguing correlation b/2π=0.0100+0.137exp(-N/1.306) with N=0,1,2... The amplitude value at 0.137 is interpreted as 10^-3/α with α being the fine-structure constant. The scaling factor exp(1/1.306) which is ≈2.15 is discussed in relation to stretched octaves and probable connection to the golden ratio. The sinusoids equivalent energy range is found at E=7.29-107 MeV. The asymptotic energy value at 7.29 is interpreted as 10^3α, from which a nucleon mean radius at ≈0.85 fm is deduced.

Comments: 5 Pages. Thank you

Download: PDF

Submission history

[v1] 2018-08-27 12:43:04
[v2] 2018-08-29 09:51:51

Unique-IP document downloads: 51 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus