Consistent Derivation of Magnetic Moments

Derive magnetic moments consistently from the colour-graph eigenvectors \(\psi_k(\alpha)\), including a justified prescription for weighting the individual constituent-parton magnetic moments by the eigenvector components, and determine the resulting electromagnetic observables for the tetraquark states.

Background

An earlier draft reportedly gave numerical magnetic-moment estimates for the 0++0^{++} and 2++2^{++} states, while treating the extraction of electromagnetic observables from graph eigenvectors as a future extension. The present paper removes those values because their derivation could not be reconstructed from the stated framework.

The unresolved task is to formulate and carry out a consistent calculation of magnetic moments using the eigenvectors of the mixed colour adjacency matrix, for example by specifying how the individual parton magnetic moments should be combined with the eigenvector components.

References

We were unable to reconstruct a derivation supporting the specific numbers quoted, and since they are not obtained from the framework developed here, we have removed them rather than repeat an unsupported claim. Deriving magnetic moments consistently from the eigenvectors \psi_k(\alpha) -- for instance by weighting the magnetic moments of the individual partons by the corresponding eigenvector components -- is a well-defined calculation that we leave for future work, once the more basic questions raised above have been addressed.

— A Colour-Casimir Adjacency Matrix Approach to Fully-Heavy Tetraquarks  (2609.10822 - Monemzadeh et al., 9 Sep 2026) in Section 8, paragraph 'On the magnetic moments discussed in the original draft'