Comment on "Tetraquarks as diquark-antidiquark bound systems"

TL;DR

This paper critiques previous calculations of heavy tetraquark masses, arguing that the methods used are flawed and that the reported results are unreliable, especially for states with non-zero angular momentum.

Contribution

The paper provides a critical reanalysis of prior tetraquark mass calculations, highlighting methodological issues and clarifying the limitations of spin-independent formalisms.

Findings

Reported tetraquark masses for zero angular momentum are incorrect.

Masses for non-zero angular momentum states are misleading due to formalism limitations.

Spin-independent equations cannot accurately predict states with non-zero angular momentum.

Abstract

The author argues that the calculated masses of heavy tetraquarks obtained by solution of the spin-independent homogeneous Lippmann-Schwinger integral equation in a diquark-antidiquark picture reported by M. Monemzadeh et al., Phys. Lett. B {\bf741}, 124 (2015), are incorrect. We have reexamined all of the published results and we believe that not only the reported tetraquark masses for states with zero total angular momentum are incorrect, the reported masses for states with non-zero total angular momentum are quite misleading, because these states cannot be predicted by a spin-independent formalism.