Zeros of 6j Symbols:Atoms:Nuclei and Bosons

TL;DR

This paper demonstrates that the zeros of 6j symbols explain the absence of specific atomic, nuclear, and bosonic states across different coupling schemes, revealing a unifying mathematical principle.

Contribution

It shows that zeros of 6j symbols account for missing states in atomic, nuclear, and bosonic systems, unifying these phenomena through a common mathematical framework.

Findings

Zeros of 6j symbols explain missing atomic states in LS coupling.

Zeros of 6j symbols account for absent nuclear states in jj coupling.

Zeros of 6j symbols also explain missing states in bosonic systems.

Abstract

The same 6j symbols that explains the absence of a certain atomic state in LS coupling also explain the absence of certain states for a system of bosons and also for certain nuclear states in jj coupling.