On the $η$ and f$_1$(1420) Couplings to the Nucleon

Details On the $η$ and f$_1$(1420) Couplings to the Nucleon On the $η$ and f$_1$(1420) Couplings to the Nucleon

2000-03-03

arxiv.org/abs/hep-ph/0003023v1

Int.J.Mod.Phys. A15 (2000) 4325-4340

Physics

High Energy Physics

High Energy Physics - Phenomenology

appears in Int. J. Mod. Phys. A (in press)

Scientific paper

10.1142/S0217751X0000239X

We consider neutral pseudoscalar, $\eta $, and axial vector, $f_1(1420)$, mesons in the OZI-rule-respecting flavor basis, $\lbrace (\bar s s), {1\over \sqrt{2}}(\bar u u + \bar d d)\rbrace$, and suggest a scenario for their coupling to the nucleon. Within this framework, the non--strange parts of the $\eta N$ and f$_1 N$ couplings are modeled by means of triangular $a_0\pi N$, and $K K^* (\Lambda /\Sigma)$ vertices, while the strange ones partly proceed via Goldberger-Treiman relations, which have been concluded solely on the grounds of current universality. The suggested model explains the observed suppression of the $\eta N$ coupling with respect to the constituent quark model expectations, and predicts the coupling of $f_1$ to the nucleon.

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