Undergrad Where can I find information about this nucleon mass coincidence?

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The discussion centers on a numerical coincidence related to neutron and proton masses, specifically the values of mN (neutron mass) and mP (proton mass). The user expresses difficulty in finding academic papers or resources that explore this coincidence further. They present calculations showing the difference in mass (Δm) and how substituting this value into equations yields consistent results. The conversation highlights a curiosity about the underlying reasons for this numerical relationship. Participants suggest exploring existing literature for deeper insights into the significance of these mass values.
stephen193
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TL;DR
mP - 3·Δm = mN - 4·Δm = 934,392,091.08 eV/c^2
I can't possibly be the first to notice this numerical coincidence, but my search skills are inadequate to find information about it, and I was hoping others could point me toward papers on the subject.

Neutron mass, mN: 939565420.52 (54)
Proton mass, mP: 938272088.16 (29)
[https://physics.nist.gov/cgi-bin/cuu/CCValue?mnc2mev|ShowSecond=neutron+mass+in+MeV&First=mpc2mev]

Δm = mN - mP = 1,293,332.36
mP - 3·Δm = 934,392,091.08
mN - 4·Δm = 934,392,091.08

What's going on, there?
 
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Try replacing Δm with mN-mP in the equations
 
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Likes ohwilleke, Nugatory, OmCheeto and 2 others
Ah, got it. Thanks!
 

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