To a question on the \eta \to \pi^0 \gamma \gamma decay width in meson-baryon chiral model

TL;DR

This paper investigates the decay width of ta to  and b3 using a meson-baryon chiral model, highlighting the dominance of pole diagrams with vector mesons and aligning results with experimental data.

Contribution

It demonstrates that pole diagrams with intermediate vector mesons dominate the decay process, contrasting previous findings that neglected these contributions.

Findings

Pole diagrams dominate the decay amplitude.

Results agree with recent experimental measurements.

Meson-baryon chiral model aligns with quark chiral models.

Abstract

It is shown in the work of one of the authors in 1979 (MKV) that the contribution to the amplitude of this decay from diagrams with one baryon loop is equal to zero and contributions from diagrams with meson loops appear very small. However, pole diagrams with intermediate vector mesons were not considered there. Here it is shown that contributions of these pole diagrams dominate. The meson-baryon chiral model used here is compared with known quark chiral models. The obtained results are in satisfactory agreement with recent experimental data.