$η$ and $η'$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation

Details $η$ and $η'$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation $η$ and $η'$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation

2007-10-30

arxiv.org/abs/0710.5650v2

Eur.Phys.J.A38:257-264,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, version accepted for publication in the European Physical Journal A

Scientific paper

10.1140/epja/i2008-10670-x

The description of the $\eta$ and $\eta^\prime$ mesons in the Dyson-Schwinger approach has relied on the Witten-Veneziano relation. The present paper explores the consequences of using instead its generalization recently proposed by Shore. On the examples of three different model interactions, we find that irrespective of the concrete model dynamics, our Dyson-Schwinger approach is phenomenologically more successful in conjunction with the standard Witten-Veneziano relation than with the proposed generalization valid in all orders in the $1/N_c$ expansion.

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